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2d_perception_size_medium_1steps_medium_no_108
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
C
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 108, "shape_A": {"name": "triangle", "facecolor": [0.8937570484449084, 0.9616667378039948, 0.0992994006184097], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [47.74080165466784, 47.10369983131548]}, "shape_B": {"name": "hexagon", "facecolor": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.37170257898652, 52.28342810312084]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_108.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_108.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_108.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_108.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_108.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_108.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_108.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-10.0, 30.0], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [30.186, 26.142000000000003], "center": [-0.00033333333333344467, -5.921189464667501e-16], "color": [0.6859036235039079, 0.4533768674936671, 0.923529798392754]}, {"name": "hexagon", "size": [52.284000000000006, 60.372], "center": [-2.9605947323337506e-16, -1.1842378929335002e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.7544279709285733, 0.5785639287374191, 0.19501090511024666]}], "medium": [{"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-10.0, 30.0], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [45.27954442456768, 52.284000000000006], "center": [-1.7763568394002505e-15, 4.736951571734001e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [26.142, 30.186], "center": [0.0, 0.0], "color": [0.7535211475827056, 0.21668512672024398, 0.41109096249185484]}], "hard": [{"name": "hexagon", "size": [45.27954442456769, 52.284000000000006], "center": [0.0, 5.921189464667501e-16], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [52.284, 60.372], "center": [0.0, 1.7763568394002505e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-10.0, 30.0], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [47.741, 47.103], "center": [-9.999666666666668, 30.0], "color": [0.8937570484449084, 0.9616667378039948, 0.0992994006184097]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-10.0, 30.0], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_108.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_108.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_108.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_108.png", "instructions": [["translate", [-10, 30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and significantly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "1steps_medium_no_108", "shape1_name": "hexagon", "shape2_name": "square"}
|
|
2d_perception_size_easy_1steps_easy_no_115
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.4014934934072535, 0.7380168925851729, 0.3814164165428119], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.732742929758466, 31.732742929758466]}, "shape_B": {"name": "triangle", "facecolor": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015], "edgecolor": "black", "center": [0.0, 1.7763568394002505e-15], "size": [59.520802591828854, 19.37818540373977]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [47.522, 43.075], "center": [4.029999999999999, -5.064500000000002], "color": [0.9016738106658976, 0.21996315886032403, 0.35994727594242615]}, {"name": "triangle", "size": [59.521, 19.378], "center": [7.6081666666666665, 0.5466666666666669], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [25.814999999999998, 93.245], "center": [4.2045, -13.704833333333333], "color": [0.6533812285260087, 0.044091302373809094, 0.534874752743609]}, {"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}], "medium": [{"name": "triangle", "size": [26.875, 94.314], "center": [-3.5225000000000004, -14.313], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [19.378, 59.52], "center": [-0.5470000000000003, 7.608], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [59.521, 19.378], "center": [7.6081666666666665, 0.5466666666666669], "color": [0.9209770819782677, 0.4822186514671657, 0.04574075664183952]}, {"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}], "hard": [{"name": "triangle", "size": [47.25119956121105, 19.378], "center": [7.778267412607868, -0.5339791136463367], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [6.308919422043008, 19.378], "center": [0.178087466397848, -2.4769459677419334], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}, {"name": "triangle", "size": [59.521, 19.378], "center": [7.6081666666666665, 0.5466666666666669], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.732, 31.732], "center": [-10.0, 0.0], "color": [0.4014934934072535, 0.7380168925851729, 0.3814164165428119]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [59.521, 19.378], "center": [-10.000333333333332, -0.0003333333333337407], "color": [0.7341218388802713, 0.09140854256084963, 0.29899855633182015]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_115.png", "instructions": [["translate", [-10, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_115", "shape1_name": "triangle", "shape2_name": "hexagon"}
|
|
2d_perception_shape_hard_3steps_hard_no_93
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 93, "shape_A": {"name": "rectangle", "facecolor": [0.4254019801119574, 0.8829701848440143, 0.17379983330709814], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.220411786245975, 24.614735790284964]}, "shape_B": {"name": "circle", "facecolor": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966], "edgecolor": "black", "center": [-1.1546319456101628e-15, 8.881784197001253e-17], "size": [64.31487360898397, 64.31487360898397]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_93.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_93.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_93.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_93.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_93.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_93.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_93.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.314, 64.314], "center": [3.552713678800501e-16, -8.881784197001252e-16], "color": [0.0461979423390404, 0.6795218895729834, 0.5529770417191403]}, {"name": "circle", "size": [64.314, 64.314], "center": [30.0, 30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [32.156, 32.156], "center": [-5.000000000046079e-05, -0.00015000000000080503], "color": [0.607806711017416, 0.2422915875966687, 0.2977799353470487]}, {"name": "circle", "size": [95.53, 80.668], "center": [7.500000000142393e-05, 6.217248937900876e-16], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}], "medium": [{"name": "circle", "size": [32.158, 32.158], "center": [-2.220446049250313e-16, -3.552713678800501e-16], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [3.552713678800501e-16, -8.881784197001252e-16], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [30.0, 30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [74.998, 70.806], "center": [0.0, -5.000000000232596e-05], "color": [0.3898268558327106, 0.782259262799804, 0.3397320271201272]}], "hard": [{"name": "circle", "size": [32.158, 32.158], "center": [-1.7763568394002506e-16, -3.774758283725532e-16], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [30.0, 30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 54.15750339924461], "center": [-1.5099033134902129e-15, -1.0658141036401502e-15], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [3.552713678800501e-16, -8.881784197001252e-16], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.22, 24.614], "center": [30.0, 30.000000000000004], "color": [0.4254019801119574, 0.8829701848440143, 0.17379983330709814]}, {"name": "rectangle", "size": [34.22, 24.614], "center": [30.0, -30.000000000000004], "color": [0.4254019801119574, 0.8829701848440143, 0.17379983330709814]}, {"name": "rectangle", "size": [34.22, 24.614], "center": [30.0, 30.000000000000004], "color": [0.4254019801119574, 0.8829701848440143, 0.17379983330709814]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.314, 64.314], "center": [30.0, 30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [30.0, -30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [30.0, 30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_93.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_93.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_93.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_93.png", "instructions": [["translate", [30, 30]], ["flip", "horizontal"], ["flip", "horizontal"]], "correct_answer": {"easy": "B", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and significantly upward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_93", "shape1_name": "circle", "shape2_name": "rectangle"}
|
|
2d_perception_position_medium_3steps_medium_no_102
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
D
|
position
|
[
"above and to the right of the black dot",
"below and to the right of the black dot",
"to the left of the black dot",
"above the black dot"
] |
{"instance_id": 102, "shape_A": {"name": "rectangle", "facecolor": [0.21567512763129615, 0.589386626549615, 0.22978524306588743], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.953645942398293, 22.18823013967595]}, "shape_B": {"name": "square", "facecolor": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.27182908097337, 33.27182908097337]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_102.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_102.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_102.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [45.45, 45.45], "center": [4.440892098500626e-16, 0.0], "color": [0.25592506801127335, 0.3621099989865959, 0.9630855419562623]}, {"name": "square", "size": [33.272, 33.272000000000006], "center": [0.0, -1.7763568394002505e-15], "color": [0.9045142691073759, 0.5294072836798522, 0.006461391776677039]}], "medium": [{"name": "square", "size": [45.45, 45.45], "center": [0.0, 4.440892098500626e-16], "color": [0.9644580663346177, 0.9225036442939006, 0.9514205201854297]}, {"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [33.272, 33.272], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.476, 11.094], "center": [0.0, 0.0], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}, {"name": "rectangle", "size": [18.95, 17.346], "center": [0.0, -1.1102230246251565e-16], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}, {"name": "rectangle", "size": [18.95, 17.346], "center": [0.0, 30.0], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}], "tranformed_B_sequence_info": [{"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_102.png", "instructions": [["scale", 0.5], ["rotate", 30], ["translate", [0, 30]]], "correct_answer": {"easy": "A", "medium": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the square significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_102", "shape1_name": "square", "shape2_name": "ellipse"}
|
|
2d_perception_shape_easy_2steps_easy_no_13
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 13, "shape_A": {"name": "hexagon", "facecolor": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.63854756197547, 60.30875127132164]}, "shape_B": {"name": "circle", "facecolor": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218], "edgecolor": "black", "center": [-3.552713678800501e-16, -7.105427357601002e-16], "size": [66.33240467589097, 66.33240467589097]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_13.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_13.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.29057949547925066, 0.3452935808985811, 0.672373713051317]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [43.016, 42.008], "center": [1.3322676295501878e-16, 7.500000000106865e-05], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [74.642, 73.044], "center": [-8.881784197001252e-16, -2.7089441800853818e-15], "color": [0.9813354962348673, 0.6500863878069779, 0.9583264528051965]}], "medium": [{"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [75.96799999999999, 78.316], "center": [4.618527782440651e-15, 0.0], "color": [0.7761467451223322, 0.9642898231260307, 0.29417772180449153]}, {"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [33.166, 33.166], "center": [-0.0002000000000005997, -0.00024999999999941735], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}], "hard": [{"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [11.595943423889608, 66.332], "center": [-0.00016685496622121932, 1.1918211868078288e-05], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [37.79, 41.06], "center": [6.217248937900876e-16, 6.217248937900876e-16], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [69.638, 60.30800000000001], "center": [-30.0, -10.000000000000002], "color": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693]}, {"name": "hexagon", "size": [69.638, 60.30800000000001], "center": [30.0, -10.000000000000002], "color": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [66.332, 66.332], "center": [-30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_13.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_13.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_13.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_13.png", "instructions": [["translate", [-30, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "2steps_easy_no_13", "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_position_medium_3steps_medium_no_99
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
B
|
position
|
[
"below and to the left of the black dot",
"above and to the right of the black dot",
"above and to the left of the black dot",
"below the black dot"
] |
{"instance_id": 99, "shape_A": {"name": "triangle", "facecolor": [0.15538395037811115, 0.8979262330379228, 0.530903047125134], "edgecolor": "black", "center": [0.0, 0.0], "size": [45.41099251869565, 55.90269774956257]}, "shape_B": {"name": "hexagon", "facecolor": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.1631728184235, 58.16501385951925]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_99.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_99.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_99.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_99.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_99.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_99.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_99.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [67.164, 58.166], "center": [10.0, 60.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [29.084, 33.582], "center": [0.0, 0.0003333333333337407], "color": [0.7497046666984698, 0.9401172130049587, 0.46001191863997726]}, {"name": "hexagon", "size": [58.166, 67.164], "center": [0.0, 1.1842378929335002e-15], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [67.164, 58.166], "center": [1.1842378929335002e-15, 0.0], "color": [0.6590534884213197, 0.039313672169882685, 0.10486016004032961]}], "medium": [{"name": "hexagon", "size": [67.164, 58.166], "center": [10.0, 60.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [58.164, 67.164], "center": [0.0, 0.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [67.164, 58.166], "center": [1.1842378929335002e-15, 0.0], "color": [0.8510658344058103, 0.9228840785102244, 0.3136482349022035]}, {"name": "hexagon", "size": [33.581999999999994, 29.082], "center": [5.921189464667501e-16, 0.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}], "hard": [{"name": "hexagon", "size": [67.164, 58.166], "center": [10.0, 60.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [50.37346727413495, 58.166], "center": [0.0, 0.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [34.624, 33.582], "center": [0.0, -5.921189464667501e-16], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [67.164, 58.166], "center": [1.1842378929335002e-15, 0.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [45.411, 55.903000000000006], "center": [-5.921189464667501e-16, 30.0], "color": [0.15538395037811115, 0.8979262330379228, 0.530903047125134]}, {"name": "triangle", "size": [45.411, 55.903000000000006], "center": [-9.999999999999998, 60.0], "color": [0.15538395037811115, 0.8979262330379228, 0.530903047125134]}, {"name": "triangle", "size": [45.411, 55.903000000000006], "center": [9.999999999999998, 60.0], "color": [0.15538395037811115, 0.8979262330379228, 0.530903047125134]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [67.164, 58.166], "center": [1.1842378929335002e-15, 30.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [67.164, 58.166], "center": [-10.0, 60.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [67.164, 58.166], "center": [10.0, 60.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_99.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_99.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_99.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_99.png", "instructions": [["translate", [0, 30]], ["translate", [-10, 30]], ["flip", "vertical"]], "correct_answer": {"easy": "A", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the left and significantly upward. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_99", "shape1_name": "hexagon", "shape2_name": "circle"}
|
|
2d_perception_position_hard_3steps_hard_no_0
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
D
|
position
|
[
"above and to the left of the black dot",
"above and to the right of the black dot",
"below and to the left of the black dot",
"below the black dot"
] |
{"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [3.552713678800501e-16, 7.105427357601002e-16], "size": [59.73126308469467, 62.805166739594156]}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [3.552713678800501e-16, 4.662936703425658e-16], "size": [66.98139394988227, 66.98139394988227]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_0.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [66.982, 66.982], "center": [3.552713678800501e-16, -3.730349362740526e-15], "color": [0.7759999115462448, 0.22904807196410437, 0.03210024390403776]}, {"name": "circle", "size": [66.888, 66.888], "center": [-2.5000000000297008e-05, -30.000025000000004], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [59.748000000000005, 54.769999999999996], "center": [3.552713678800501e-16, -3.3306690738754696e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [90.261, 84.926], "center": [-0.0002000000000005997, 2.042810365310288e-15], "color": [0.3154530480590819, 0.26774087597570273, 0.21098284358632646]}], "medium": [{"name": "circle", "size": [90.32, 87.452], "center": [-6.217248937900876e-16, -8.881784197001253e-17], "color": [0.5076816746043252, 0.10641082279770497, 0.6253001935664175]}, {"name": "circle", "size": [33.489999999999995, 33.489999999999995], "center": [-8.881784197001253e-17, 6.217248937900876e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.888, 66.888], "center": [-2.5000000000297008e-05, -30.000025000000004], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.982, 66.982], "center": [3.552713678800501e-16, -3.730349362740526e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "hard": [{"name": "circle", "size": [66.888, 66.888], "center": [-2.5000000000297008e-05, -30.000025000000004], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [52.518088456189155, 66.888], "center": [3.552713678800501e-16, -1.3322676295501878e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.982, 66.982], "center": [3.552713678800501e-16, -3.730349362740526e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [82.508, 88.014], "center": [-8.881784197001253e-17, -3.552713678800501e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [59.732, 62.806], "center": [-10.000200000000001, -30.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}, {"name": "pentagon", "size": [61.433, 62.461], "center": [-10.000000000000004, -30.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}, {"name": "pentagon", "size": [61.433, 62.461], "center": [-7.105427357601002e-16, -30.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [66.982, 66.982], "center": [-10.000000000000002, -29.999999999999993], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.888, 66.888], "center": [-10.000024999999996, -30.000025000000004], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.888, 66.888], "center": [-2.5000000000297008e-05, -30.000025000000004], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_0.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_0.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_0.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_0.png", "instructions": [["translate", [-10, -30]], ["rotate", 30], ["translate", [10, 0]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the left and significantly downward. <shapeB_step_0>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle a little to the right. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_0", "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_shape_easy_3steps_easy_no_102
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 102, "shape_A": {"name": "rectangle", "facecolor": [0.21567512763129615, 0.589386626549615, 0.22978524306588743], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.953645942398293, 22.18823013967595]}, "shape_B": {"name": "square", "facecolor": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.27182908097337, 33.27182908097337]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_102.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_102.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_102.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [45.45, 45.45], "center": [4.440892098500626e-16, 0.0], "color": [0.25592506801127335, 0.3621099989865959, 0.9630855419562623]}, {"name": "square", "size": [33.272, 33.272000000000006], "center": [0.0, -1.7763568394002505e-15], "color": [0.9045142691073759, 0.5294072836798522, 0.006461391776677039]}], "medium": [{"name": "square", "size": [45.45, 45.45], "center": [0.0, 4.440892098500626e-16], "color": [0.9644580663346177, 0.9225036442939006, 0.9514205201854297]}, {"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [33.272, 33.272], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.476, 11.094], "center": [0.0, 0.0], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}, {"name": "rectangle", "size": [18.95, 17.346], "center": [0.0, -1.1102230246251565e-16], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}, {"name": "rectangle", "size": [18.95, 17.346], "center": [0.0, 30.0], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}], "tranformed_B_sequence_info": [{"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_102.png", "instructions": [["scale", 0.5], ["rotate", 30], ["translate", [0, 30]]], "correct_answer": {"easy": "A", "medium": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the square significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "3steps_easy_no_102", "shape1_facecolor": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721], "shape2_facecolor": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721], "shape1_name": "square", "shape2_name": "square"}
|
|
2d_perception_position_hard_2steps_hard_no_65
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
C
|
position
|
[
"below and to the left of the black dot",
"above the black dot",
"above and to the left of the black dot",
"below the black dot"
] |
{"instance_id": 65, "shape_A": {"name": "pentagon", "facecolor": [0.3739349932592334, 0.4078218534340765, 0.018567357849827992], "edgecolor": "black", "center": [1.0658141036401502e-15, 0.0], "size": [57.934393824741896, 60.91582659085884]}, "shape_B": {"name": "hexagon", "facecolor": [0.6577496837273551, 0.298256592171686, 0.6576294442780709], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.6987621226422, 56.89679699539899]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_65.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_65.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_65.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_65.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_65.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_65.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_65.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [1.7763568394002505e-15, 0.0], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [65.69800000000001, 68.24799999999999], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.6999123210667704, 0.8151525291771845, 0.7897728485406691]}, {"name": "hexagon", "size": [32.849999999999994, 28.448], "center": [-5.921189464667501e-16, 0.0], "color": [0.7788844625773311, 0.2783813527201836, 0.016268335065970474]}, {"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [-60.0, 10.000000000000002], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}], "medium": [{"name": "hexagon", "size": [32.849999999999994, 28.447999999999997], "center": [5.921189464667501e-16, -1.1842378929335002e-15], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [1.7763568394002505e-15, 0.0], "color": [0.23353224498654612, 0.8316508325347863, 0.030980241076854598]}, {"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [-60.0, 10.000000000000002], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [56.896, 65.698], "center": [0.0, -1.1842378929335002e-15], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}], "hard": [{"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [-60.0, 10.000000000000002], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [38.834, 32.848], "center": [-2.9605947323337506e-16, 2.220446049250313e-16], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [1.7763568394002505e-15, 0.0], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [28.448, 32.848], "center": [0.0, 0.0003333333333331486], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [57.934, 60.916], "center": [-30.000199999999996, 10.0], "color": [0.3739349932592334, 0.4078218534340765, 0.018567357849827992]}, {"name": "pentagon", "size": [57.934000000000005, 60.916], "center": [-60.00019999999999, 10.0], "color": [0.3739349932592334, 0.4078218534340765, 0.018567357849827992]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [65.698, 56.896], "center": [-30.0, 10.000000000000002], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}, {"name": "hexagon", "size": [65.69800000000001, 56.896], "center": [-60.0, 10.000000000000002], "color": [0.6577496837273551, 0.298256592171686, 0.6576294442780709]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_65.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_65.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_65.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_65.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_65.png", "instructions": [["translate", [-30, 10]], ["translate", [-30, 0]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_65"}
|
|
2d_perception_shape_hard_1steps_hard_no_19
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 19, "shape_A": {"name": "triangle", "facecolor": [0.7822337450080271, 0.055327272859096444, 0.8965054756695743], "edgecolor": "black", "center": [5.921189464667501e-16, 2.3684757858670005e-15], "size": [19.71630746870586, 59.19983679955833]}, "shape_B": {"name": "circle", "facecolor": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744], "edgecolor": "black", "center": [-3.552713678800501e-16, -7.993605777301127e-16], "size": [68.42750267241598, 68.42750267241598]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_19.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_19.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_19.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_19.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_19.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_19.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_19.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [68.428, 68.428], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.6453975883633282, 0.9052294314340854, 0.034809431742675256]}, {"name": "circle", "size": [58.94, 107.708], "center": [-7.993605777301127e-16, 2.220446049250313e-15], "color": [0.4752217808043303, 0.36773928866807637, 0.30817139909471725]}, {"name": "circle", "size": [33.381, 34.36], "center": [0.00052499999999851, 2.4999999999675283e-05], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}], "medium": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [55.43051981829518, 68.428], "center": [0.0, 2.9753977059954196e-15], "color": [0.4532617531359948, 0.027350893333371262, 0.052098822901940234]}, {"name": "circle", "size": [68.428, 68.428], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [34.852, 34.554], "center": [5.000000000041638e-05, -0.00012500000000013057], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}], "hard": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [79.376, 74.382], "center": [2.4868995751603505e-15, -3.1086244689504383e-15], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [68.428, 68.428], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}, {"name": "circle", "size": [44.956, 43.524], "center": [-5.000000000050519e-05, -2.4999999999497646e-05], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [19.717, 59.2], "center": [30.0, 9.999999999999998], "color": [0.7822337450080271, 0.055327272859096444, 0.8965054756695743]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.428, 68.428], "center": [29.999999999999993, 10.000000000000004], "color": [0.20199050873040025, 0.2727119634779589, 0.02914186759588744]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_19.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_19.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_19.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_19.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_19.png", "instructions": [["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "1steps_hard_no_19", "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_shape_medium_3steps_medium_no_5
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.221549756418285, 0.6151068362844365, 0.7272429971637352], "edgecolor": "black", "center": [7.105427357601002e-16, -3.0531133177191805e-16], "size": [34.496333825617675, 21.61055909873163]}, "shape_B": {"name": "hexagon", "facecolor": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [61.483338256603645, 53.24613283969039]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_5.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_5.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_5.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_5.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [53.245999999999995, 61.483999999999995], "center": [0.0, 0.0], "color": [0.9229850357343844, 0.06713330813664775, 0.8317718884748545]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [2.9605947323337506e-16, -0.00016666666666983096], "color": [0.6651078630603089, 0.37430102343553684, 0.15263892476872376]}, {"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [8.881784197001252e-16, -1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}], "medium": [{"name": "hexagon", "size": [53.246, 61.484], "center": [0.0, -5.921189464667501e-16], "color": [0.6089949155530653, 0.6578312279988884, 0.6934711878556589]}, {"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [8.881784197001252e-16, -1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [23.05588865395875, 26.622999999999998], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}], "hard": [{"name": "hexagon", "size": [53.246, 61.483999999999995], "center": [0.0, 2.9605947323337506e-16], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [8.881784197001252e-16, -1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [2.9605947323337506e-16, -0.00016666666666983096], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.496, 21.61], "center": [10.0, 30.000000000000007], "color": [0.221549756418285, 0.6151068362844365, 0.7272429971637352]}, {"name": "ellipse", "size": [34.495999999999995, 21.610000000000007], "center": [20.000000000000007, 59.99999999999998], "color": [0.221549756418285, 0.6151068362844365, 0.7272429971637352]}, {"name": "ellipse", "size": [17.247999999999998, 10.805], "center": [20.000049999999995, 59.99982500000001], "color": [0.221549756418285, 0.6151068362844365, 0.7272429971637352]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [10.0, 30.0], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [61.483999999999995, 53.246], "center": [20.0, 60.0], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_5.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_5.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_5.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_5.png", "instructions": [["translate", [10, 30]], ["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right and significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the right and significantly upward. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_5", "shape1_name": "hexagon", "shape2_name": "triangle"}
|
|
2d_perception_size_medium_2steps_medium_no_71
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
C
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 71, "shape_A": {"name": "hexagon", "facecolor": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.91382467317439, 57.94907203134699]}, "shape_B": {"name": "circle", "facecolor": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694], "edgecolor": "black", "center": [2.7533531010703883e-15, -2.4202861936828413e-15], "size": [64.04244378456774, 64.04244378456774]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_71.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_71.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_71.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [78.186, 80.882], "center": [-8.881784197001253e-17, -5.329070518200751e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.01909331303423989, 0.9831039299064597, 0.40179533827613945]}, {"name": "circle", "size": [68.888, 74.749], "center": [1.2434497875801752e-15, -0.0001249999999992202], "color": [0.2560945549589283, 0.7385353415371732, 0.5663898001735471]}], "medium": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.267622688217965, 0.7454231087454316, 0.7296825037169442]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.396, 34.186], "center": [0.00017500000000101324, -7.499999999970308e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [77.942, 70.58], "center": [0.00017500000000101324, -8.881784197001253e-17], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "hard": [{"name": "circle", "size": [40.824, 44.812], "center": [6.217248937900876e-16, -5.0000000000594016e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.022, 32.022000000000006], "center": [-3.552713678800501e-16, 1.7763568394002506e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [66.914, 57.95], "center": [-30.0, -30.0], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}, {"name": "hexagon", "size": [66.91399999999999, 57.949999999999996], "center": [-40.0, -39.99999999999999], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.042, 64.042], "center": [-30.000000000000007, -29.999999999999993], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_71.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_71.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_71", "shape1_facecolor": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694], "shape2_facecolor": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694], "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_shape_medium_3steps_medium_no_106
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 106, "shape_A": {"name": "rectangle", "facecolor": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.429619278662187, 23.519356892684694]}, "shape_B": {"name": "triangle", "facecolor": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [54.674641152139, 47.17399099888111]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_106.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_106.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_106.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_106.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_106.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_106.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_106.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [57.838, 34.06], "center": [-7.145333333333333, 3.7330000000000005], "color": [0.7256439050117809, 0.02732138501468384, 0.21479456020780974]}, {"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.9931273083192043, 0.44973360199872137, 0.25827122940299563]}, {"name": "triangle", "size": [47.174, 54.675], "center": [-0.9969999999999999, -2.2105], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "medium": [{"name": "triangle", "size": [28.189, 60.638999999999996], "center": [-3.2585, 7.5615], "color": [0.99645079325002, 0.6025607020113347, 0.6440071041307395]}, {"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [7.916946189745872, 17.03], "center": [0.9149844159699209, -2.1236831357157384], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "hard": [{"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [10.028731975517825, 17.03], "center": [1.0991560911511462, 2.10389409500098], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [33.81999999999999, 50.825], "center": [-3.9420000000000015, 0.5744999999999996], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.214, 11.76], "center": [0.0, 0.0], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}, {"name": "rectangle", "size": [19.056, 17.792], "center": [-1.1102230246251565e-16, 0.0], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}, {"name": "rectangle", "size": [17.792, 19.056], "center": [0.0, 1.1102230246251565e-16], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [27.337, 23.587], "center": [0.00033333333333285253, 0.0], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [17.03, 28.919], "center": [-0.0003333333333332966, 0.0], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_106.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_106.png", "instructions": [["scale", 0.5], ["rotate", -30], ["rotate", -90]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_106", "shape1_name": "triangle", "shape2_name": "triangle"}
|
|
2d_perception_shape_hard_1steps_hard_no_14
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 14, "shape_A": {"name": "pentagon", "facecolor": [0.15195705577066454, 0.18793360223450828, 0.13154588032324976], "edgecolor": "black", "center": [7.105427357601002e-16, 7.105427357601002e-16], "size": [54.98937185158614, 57.819247236533926]}, "shape_B": {"name": "triangle", "facecolor": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [54.433214714326624, 51.885324284799545]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_14.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_14.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [23.274, 30.588], "center": [-3.2880000000000003, -1.2399999999999995], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [45.900999999999996, 57.837], "center": [-6.331166666666667, 2.5834999999999995], "color": [0.20283357618582687, 0.2045621057311916, 0.17707820182370537]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [7.9965, 2.5719999999999996], "color": [0.9501980424899162, 0.22255421237920714, 0.6713390871006505]}], "medium": [{"name": "triangle", "size": [46.548, 61.175], "center": [-6.5760000000000005, -2.479833333333334], "color": [0.25008229407723825, 0.6917174283309014, 0.9071624630054067]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [7.9965, 2.5719999999999996], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [27.216, 25.942], "center": [3.9980000000000033, 1.2860000000000011], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}], "hard": [{"name": "triangle", "size": [67.748, 61.33], "center": [-2.4180000000000006, -7.925000000000001], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [7.9965, 2.5719999999999996], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [39.48000863097671, 51.88600000000001], "center": [-5.57747995096036, -2.1032878190982154], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}, {"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [54.989, 57.81999999999999], "center": [-30.0002, 10.0], "color": [0.15195705577066454, 0.18793360223450828, 0.13154588032324976]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [54.43299999999999, 51.886], "center": [-30.0, 10.0], "color": [0.029483346383534448, 0.3186874455223373, 0.9728960351201903]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_14.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_14.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_14.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_14.png", "instructions": [["translate", [-30, 10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "1steps_hard_no_14", "shape1_name": "triangle", "shape2_name": "ellipse"}
|
|
2d_perception_shape_medium_2steps_medium_no_29
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.06667766630173, 59.81349741400862]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_29.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.9695415308611851, 0.5831588581279402, 0.4883073409886549]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [79.582, 82.294], "center": [-8.881784197001252e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.534000000000006, 29.906], "center": [1.7763568394002505e-15, 0.0], "color": [0.24751042926734867, 0.10938599739355226, 0.8189264388188036]}], "medium": [{"name": "hexagon", "size": [81.794, 84.926], "center": [0.0, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.533, 29.908], "center": [0.00033333333333285253, 0.0], "color": [0.049902046109985276, 0.1377187844382094, 0.8787220961098785]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "hard": [{"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [29.906000000000002, 34.534], "center": [1.1842378929335002e-15, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.81399999999999, 51.80138702111024], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.736, 37.646], "center": [-3.3306690738754696e-16, 0.0], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}, {"name": "rectangle", "size": [37.646, 34.736], "center": [0.0, -3.3306690738754696e-16], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_29.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_29.png", "instructions": [["rotate", -60], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_29", "shape1_name": "hexagon", "shape2_name": "hexagon"}
|
|
2d_perception_shape_medium_3steps_medium_no_115
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 115, "shape_A": {"name": "ellipse", "facecolor": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422], "edgecolor": "black", "center": [2.220446049250313e-16, 2.0539125955565397e-16], "size": [31.18333413840225, 20.769316379909124]}, "shape_B": {"name": "circle", "facecolor": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [68.17299444067872, 68.17299444067872]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [34.948, 34.604], "center": [-7.500000000089102e-05, 7.771561172376096e-16], "color": [0.2903541313066077, 0.12842214938979246, 0.7680032783485744]}, {"name": "circle", "size": [32.956, 130.026], "center": [-2.6645352591003756e-16, 7.105427357601002e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.15073730815887376, 0.7732720983432548, 0.6192458203905253]}, {"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}], "medium": [{"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [157.084, 140.354], "center": [1.2434497875801752e-15, -3.552713678800501e-16], "color": [0.7421894645779374, 0.31827558221604635, 0.818792201644946]}, {"name": "circle", "size": [37.882, 35.45], "center": [-3.552713678800501e-16, -1.554312234475219e-16], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}], "hard": [{"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [52.19922737676548, 68.08], "center": [0.0, 1.8207657603852566e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [40.478790678459426, 68.08], "center": [7.993605777301127e-16, -4.440892098500626e-16], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [23.744, 28.892], "center": [-2.2204460492503132e-17, 0.0], "color": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422]}, {"name": "ellipse", "size": [23.744, 28.892], "center": [-30.0, 0.0], "color": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422]}, {"name": "ellipse", "size": [23.744, 28.892000000000003], "center": [-20.000000000000004, -9.999999999999998], "color": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08000000000001, 68.08], "center": [-30.0, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_115.png", "instructions": [["rotate", -60], ["translate", [-30, 0]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the left by a significant amount. <shapeB_step_1>\n- Shift the circle a little to the right and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_115", "shape1_name": "circle", "shape2_name": "pentagon"}
|
|
2d_perception_size_hard_3steps_hard_no_8
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
B
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 8, "shape_A": {"name": "square", "facecolor": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.085712988012137, 30.085712988012137]}, "shape_B": {"name": "ellipse", "facecolor": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251], "edgecolor": "black", "center": [-2.6645352591003756e-16, -2.609024107869118e-16], "size": [34.54886682999383, 20.535082143472465]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_8.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_8.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_8.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_8.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_8.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_8.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_8.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [34.548, 20.536], "center": [3.552713678800501e-16, -5.329070518200751e-16], "color": [0.3771695684842872, 0.4760051001318911, 0.6367480755556387]}, {"name": "ellipse", "size": [31.628, 24.790000000000003], "center": [10.000000000000002, 40.00000000000001], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [10.268, 17.274], "center": [2.3592239273284576e-16, -8.881784197001253e-17], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [24.79, 31.628], "center": [-2.4424906541753446e-16, -1.7763568394002506e-16], "color": [0.7028451500191061, 0.08268612250580176, 0.8453297945403281]}], "medium": [{"name": "ellipse", "size": [31.628, 24.790000000000003], "center": [10.000000000000002, 40.00000000000001], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [14.735655899039017, 24.789999999999996], "center": [-8.881784197001253e-17, -2.6645352591003756e-16], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [34.548, 20.536], "center": [3.552713678800501e-16, -5.329070518200751e-16], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [17.274, 10.268], "center": [8.881784197001253e-17, -8.881784197001253e-17], "color": [0.5969245552870913, 0.7844387242528075, 0.8637181772681916]}], "hard": [{"name": "ellipse", "size": [31.628, 24.790000000000003], "center": [10.000000000000002, 40.00000000000001], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [34.548, 20.536], "center": [3.552713678800501e-16, -5.329070518200751e-16], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [15.427376403843928, 24.79], "center": [-7.494005416219807e-16, 2.6645352591003756e-16], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [17.274, 10.268], "center": [-4.999999999983906e-05, -0.00025000000000032776], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.086, 30.086], "center": [0.0, 10.0], "color": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485]}, {"name": "square", "size": [41.098, 41.098], "center": [0.0, 10.0], "color": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485]}, {"name": "square", "size": [41.098, 41.098], "center": [10.0, 40.0], "color": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [34.548, 20.536], "center": [3.552713678800501e-16, 9.999999999999996], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [31.628, 24.79], "center": [-4.440892098500626e-16, 10.000000000000002], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [31.628, 24.790000000000003], "center": [10.000000000000002, 40.00000000000001], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_8.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_8.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_8.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_8.png", "instructions": [["translate", [0, 10]], ["rotate", 30], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse slightly upward. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse a little to the right and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_8", "shape1_name": "ellipse", "shape2_name": "pentagon"}
|
|
2d_perception_shape_easy_1steps_easy_no_83
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 83, "shape_A": {"name": "ellipse", "facecolor": [0.8582575742542343, 0.21765504547045889, 0.5478558235012966], "edgecolor": "black", "center": [-2.6645352591003756e-16, -6.272760089132135e-16], "size": [33.81721227941492, 24.93051380846707]}, "shape_B": {"name": "rectangle", "facecolor": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.19588873245481, 21.029721266840454]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_83.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_83.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_83.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_83.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_83.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_83.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [15.598, 10.514], "center": [0.0, 0.0], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}, {"name": "rectangle", "size": [19.692, 23.164], "center": [0.0, 0.0], "color": [0.45378194262647953, 0.7511292003345171, 0.15349609671612052]}, {"name": "rectangle", "size": [37.532, 33.81], "center": [0.0, 3.3306690738754696e-16], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}, {"name": "rectangle", "size": [31.196, 21.03], "center": [0.0, 0.0], "color": [0.7074862335597226, 0.6530187909247748, 0.15202382375369705]}], "medium": [{"name": "rectangle", "size": [37.532, 33.81], "center": [0.0, 3.3306690738754696e-16], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}, {"name": "rectangle", "size": [15.598, 10.514], "center": [0.0, 0.0], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}, {"name": "rectangle", "size": [52.019999999999996, 45.772000000000006], "center": [0.0, -8.881784197001252e-16], "color": [0.39721311395182346, 0.6045960504231185, 0.8612968229928124]}, {"name": "rectangle", "size": [31.195999999999998, 21.03], "center": [0.0, 0.0], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [16.908, 12.466], "center": [-4.4408920985006264e-17, 8.604228440844963e-17], "color": [0.8582575742542343, 0.21765504547045889, 0.5478558235012966]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.598, 10.514], "center": [0.0, 0.0], "color": [0.3003928137853684, 0.9257698186600567, 0.8799959696514352]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_83.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_83.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_83.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_83", "shape1_name": "rectangle", "shape2_name": "circle"}
|
|
2d_perception_shape_medium_2steps_medium_no_33
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [66.09472983207253, 32.343887638489065]}, "shape_B": {"name": "circle", "facecolor": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713], "edgecolor": "black", "center": [-8.881784197001252e-16, 3.9968028886505636e-16], "size": [69.2744055119709, 69.2744055119709]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_33.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_33.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_33.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [83.559, 86.345], "center": [2.4999999998609468e-05, 0.0003500000000006942], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.06372245856662295, 0.2878313118827638, 0.7120336041548561]}, {"name": "circle", "size": [94.436, 83.06], "center": [-3.552713678800501e-16, 2.6645352591003757e-15], "color": [0.8269749765146087, 0.5879141645190475, 0.6347726627828982]}], "medium": [{"name": "circle", "size": [91.646, 89.792], "center": [-8.881784197001252e-16, 1.4210854715202005e-15], "color": [0.10362301130580698, 0.8470703830011121, 0.7579404251667007]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [143.6716905036659, 158.0], "center": [-1.2434497875801752e-15, -2.842170943040401e-15], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "hard": [{"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [75.968, 78.788], "center": [1.7763568394002506e-16, 4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 20.740533203903695], "center": [-2.531308496145357e-15, -8.881784197001253e-17], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.344, 66.095], "center": [0.0003333333333337407, 0.0], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}, {"name": "triangle", "size": [16.172, 33.047], "center": [0.0006666666666662971, 0.0003333333333331486], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_33.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_33.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_33.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_33", "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_shape_hard_2steps_hard_no_25
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 25, "shape_A": {"name": "ellipse", "facecolor": [0.6810664843571737, 0.25428803449433146, 0.602149326937957], "edgecolor": "black", "center": [1.1546319456101628e-15, -2.886579864025407e-16], "size": [32.11472429952858, 24.148747825133484]}, "shape_B": {"name": "hexagon", "facecolor": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.52871235399222, 54.151453364487125]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_25.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_25.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [62.528, 54.152], "center": [-2.9605947323337506e-16, 0.0], "color": [0.6963167072671622, 0.5249619887533956, 0.6545211917783339]}, {"name": "hexagon", "size": [54.152, 62.53], "center": [-5.921189464667501e-16, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [65.626, 70.356], "center": [0.0, 0.0], "color": [0.7330422359030663, 0.17063425612748628, 0.37465138872265835]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "medium": [{"name": "hexagon", "size": [54.152, 62.528000000000006], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [8.004678334339168, 31.263999999999996], "center": [-9.826996580160803e-05, 5.921189464667501e-16], "color": [0.665322278309207, 0.7892071678312036, 0.0418593443694848]}, {"name": "hexagon", "size": [62.528000000000006, 54.152], "center": [2.9605947323337506e-16, 0.0], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "hard": [{"name": "hexagon", "size": [54.152, 62.528], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [9.965451780581772, 31.264], "center": [-7.401486830834377e-17, -1.4802973661668753e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [69.608, 63.538], "center": [0.0, -5.921189464667501e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [16.058, 12.074], "center": [1.1102230246251565e-16, -1.7763568394002506e-16], "color": [0.6810664843571737, 0.25428803449433146, 0.602149326937957]}, {"name": "ellipse", "size": [12.074, 16.058], "center": [1.7763568394002506e-16, 1.1102230246251565e-16], "color": [0.6810664843571737, 0.25428803449433146, 0.602149326937957]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [31.264, 27.076], "center": [2.9605947323337506e-16, 0.0], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_25.png", "instructions": [["scale", 0.5], ["rotate", 90]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_25", "shape1_name": "hexagon", "shape2_name": "hexagon"}
|
|
2d_perception_size_hard_3steps_hard_no_34
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
B
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 34, "shape_A": {"name": "circle", "facecolor": [0.749943679211488, 0.6238256910981901, 0.5447337411321853], "edgecolor": "black", "center": [-1.7763568394002506e-16, 2.19824158875781e-15], "size": [69.39616809596447, 69.39616809596447]}, "shape_B": {"name": "triangle", "facecolor": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922], "edgecolor": "black", "center": [-5.921189464667501e-16, -2.3684757858670005e-15], "size": [51.032587369656255, 29.2855369499692]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_34.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [32.162, 46.358000000000004], "center": [-1.2270000000000003, -5.932333333333332], "color": [0.12633028257084666, 0.11837272816479993, 0.57693374741287]}, {"name": "triangle", "size": [7.210999999999999, 28.113999999999997], "center": [-0.42283333333333334, 2.262], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.3920121777283454, 0.7621718691834686, 0.9166653622704007]}], "medium": [{"name": "triangle", "size": [16.806509562627372, 29.286], "center": [-1.8025420520457753, -1.0922758269321216], "color": [0.18655517130882948, 0.6525227196358833, 0.22175522369833667]}, {"name": "triangle", "size": [56.227999999999994, 14.424], "center": [-4.524, -0.8456666666666663], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}], "hard": [{"name": "triangle", "size": [16.805606372347306, 29.285999999999994], "center": [1.802411086943741, 1.0923500676033153], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [35.127, 8.461], "center": [3.2485, 0.3954999999999999], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [69.39599999999999, 69.396], "center": [30.0, 10.0], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}, {"name": "circle", "size": [69.39599999999999, 69.396], "center": [60.000000000000014, 19.999999999999996], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}, {"name": "circle", "size": [69.39599999999999, 69.39599999999999], "center": [90.00000000000003, 30.0], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [51.033, 29.285999999999998], "center": [30.0, 10.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [60.0, 19.999999999999996], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_34.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_34.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_34.png", "instructions": [["translate", [30, 10]], ["translate", [30, 10]], ["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_34", "shape1_name": "triangle", "shape2_name": "circle"}
|
|
2d_perception_position_medium_2steps_medium_no_81
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
D
|
position
|
[
"above and to the right of the black dot",
"to the left of the black dot",
"below and to the left of the black dot",
"above and to the left of the black dot"
] |
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.91542727345086, 33.91542727345086]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_81.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_81.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_81.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.017269358477543406, 0.8951715436112537, 0.8881882715240285]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.9822023558670021, 0.3805353841932245, 0.6158594794070977]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [0.0, 6.661338147750939e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "medium": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.164, 23.164], "center": [1.1102230246251565e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.5512682171709632, 0.4558650631394707, 0.703459189841425]}], "hard": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [-8.881784197001252e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [39.654, 34.972], "center": [0.0, -5.551115123125783e-17], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}, {"name": "rectangle", "size": [39.654, 34.971999999999994], "center": [-10.0, 30.0], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}], "tranformed_B_sequence_info": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_81.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_81.png", "instructions": [["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_81", "shape1_facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "shape2_facecolor": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684], "shape1_name": "square", "shape2_name": "triangle"}
|
|
2d_perception_size_medium_3steps_medium_no_29
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
A
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 29, "shape_A": {"name": "ellipse", "facecolor": [0.4220150118646, 0.5498486105722737, 0.26067444221513203], "edgecolor": "black", "center": [8.881784197001253e-17, -2.2204460492503132e-17], "size": [33.22785612913323, 23.57222483948403]}, "shape_B": {"name": "square", "facecolor": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.018814484423327, 31.018814484423327]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_29.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.27325300236291905, 0.8688553705669743, 0.22576546872889092]}, {"name": "square", "size": [31.018, 31.018], "center": [0.0, 0.0], "color": [0.6401774889899354, 0.3628194846901699, 0.3335173486029427]}, {"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [42.372, 42.372], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}], "medium": [{"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [42.372, 42.372], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [31.018, 31.018], "center": [0.0, 0.0], "color": [0.657562934803727, 0.14267014249265686, 0.5675607750968812]}, {"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}], "hard": [{"name": "square", "size": [42.372, 42.372], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [31.018, 31.018], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [16.614, 11.786], "center": [0.0, -1.3877787807814457e-17], "color": [0.4220150118646, 0.5498486105722737, 0.26067444221513203]}, {"name": "ellipse", "size": [16.613999999999997, 11.786000000000001], "center": [10.0, 10.000000000000002], "color": [0.4220150118646, 0.5498486105722737, 0.26067444221513203]}, {"name": "ellipse", "size": [13.142000000000001, 15.503999999999998], "center": [10.0, 10.000024999999997], "color": [0.4220150118646, 0.5498486105722737, 0.26067444221513203]}], "tranformed_B_sequence_info": [{"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [15.509999999999998, 15.509999999999998], "center": [9.999999999999998, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_29.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_29.png", "instructions": [["scale", 0.5], ["translate", [10, 10]], ["rotate", 60]], "correct_answer": {"easy": "C", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Shift the square a little to the right and slightly upward. <shapeB_step_1>\n- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_29", "shape1_name": "square", "shape2_name": "square"}
|
|
2d_perception_shape_easy_3steps_easy_no_13
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 13, "shape_A": {"name": "ellipse", "facecolor": [0.10811345021104524, 0.8361200095693898, 0.04823505647294035], "edgecolor": "black", "center": [1.7763568394002506e-16, -5.495603971894525e-16], "size": [33.11398888400325, 23.503631731017066]}, "shape_B": {"name": "hexagon", "facecolor": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.18825751771425, 55.58866163499802]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_13.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [64.188, 74.946], "center": [0.0, 5.921189464667501e-16], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [32.094, 27.794], "center": [0.0003333333333337407, 0.0], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [55.588, 64.188], "center": [0.0, -1.1842378929335002e-15], "color": [0.6882039154553736, 0.4806639427736671, 0.2345052659715563]}, {"name": "hexagon", "size": [64.188, 55.588], "center": [1.1842378929335002e-15, 0.0], "color": [0.012749401268609795, 0.0890028395271304, 0.11043091740632172]}], "medium": [{"name": "hexagon", "size": [55.588, 64.188], "center": [0.0, -1.1842378929335002e-15], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [64.188, 55.588], "center": [1.1842378929335002e-15, 0.0], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [32.094, 27.794], "center": [0.0003333333333337407, 0.0], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [86.308, 79.232], "center": [0.0, -2.9605947323337506e-16], "color": [0.09499847033058029, 0.7582040048412383, 0.045889087093415215]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [23.504, 33.114], "center": [3.4416913763379854e-16, 0.0], "color": [0.10811345021104524, 0.8361200095693898, 0.04823505647294035]}, {"name": "ellipse", "size": [26.198, 30.906], "center": [1.1990408665951691e-15, 2.6645352591003756e-16], "color": [0.10811345021104524, 0.8361200095693898, 0.04823505647294035]}, {"name": "ellipse", "size": [13.1, 15.452], "center": [9.999999999990016e-05, 3.108624468950438e-16], "color": [0.10811345021104524, 0.8361200095693898, 0.04823505647294035]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [55.588, 64.188], "center": [0.0, -1.1842378929335002e-15], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [64.188, 55.588], "center": [1.1842378929335002e-15, 0.0], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [32.094, 27.794], "center": [0.0003333333333337407, 0.0], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_13.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_13.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_13.png", "instructions": [["rotate", -90], ["rotate", -30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "3steps_easy_no_13", "shape1_name": "hexagon", "shape2_name": "rectangle"}
|
|
2d_perception_size_easy_3steps_easy_no_3
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
A
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 3, "shape_A": {"name": "rectangle", "facecolor": [0.4760931107841647, 0.7118424064727227, 0.44817454958657077], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.606421656630346, 21.577739720029932]}, "shape_B": {"name": "hexagon", "facecolor": [0.5534729550102496, 0.34375739414620254, 0.996631463959332], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.915409730105445, 53.620317711993536]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_3.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_3.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_3.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_3.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_3.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_3.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_3.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [0.0, -1.1842378929335002e-15], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [26.81, 30.958], "center": [0.0, 2.9605947323337506e-16], "color": [0.5740642196263323, 0.4693969449305102, 0.44046879813601025]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [40.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [53.620000000000005, 61.916], "center": [1.1842378929335002e-15, 0.0], "color": [0.18436367039008172, 0.051376717183577836, 0.9410635967681032]}], "medium": [{"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [0.0, -1.1842378929335002e-15], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [40.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [46.43556431294012, 53.620000000000005], "center": [-1.7763568394002505e-15, 0.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [30.958, 26.810000000000002], "center": [-2.9605947323337506e-16, -5.921189464667501e-16], "color": [0.6476347234024807, 0.9084114452126061, 0.8266311596500596]}], "hard": [{"name": "hexagon", "size": [26.81, 30.958], "center": [0.0, 0.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [40.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [50.936544811028895, 53.62000000000001], "center": [0.0, 1.924386576016938e-15], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [0.0, -1.1842378929335002e-15], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [33.606, 21.578000000000003], "center": [-10.0, -30.0], "color": [0.4760931107841647, 0.7118424064727227, 0.44817454958657077]}, {"name": "rectangle", "size": [33.605999999999995, 21.578000000000003], "center": [-40.0, -30.0], "color": [0.4760931107841647, 0.7118424064727227, 0.44817454958657077]}, {"name": "rectangle", "size": [33.605999999999995, 21.578000000000003], "center": [40.0, -30.0], "color": [0.4760931107841647, 0.7118424064727227, 0.44817454958657077]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [-10.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [-40.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [40.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_3.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_3.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_3.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_3.png", "instructions": [["translate", [-10, -30]], ["translate", [-30, 0]], ["flip", "vertical"]], "correct_answer": {"easy": "C", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and significantly downward. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "3steps_easy_no_3", "shape1_name": "hexagon", "shape2_name": "circle"}
|
|
2d_perception_size_easy_2steps_easy_no_113
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
A
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 113, "shape_A": {"name": "rectangle", "facecolor": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.868187468576263, 21.258376675122513]}, "shape_B": {"name": "triangle", "facecolor": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826], "edgecolor": "black", "center": [1.7763568394002505e-15, 0.0], "size": [14.163207897571025, 60.26182739498849]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_113.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_113.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_113.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_113.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_113.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_113.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_113.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.9174013412547419, 0.8976848217443251, 0.048716666844519474]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [58.44800000000001, 56.611999999999995], "center": [-7.453999999999998, 6.498999999999999], "color": [0.9578606371994135, 0.812767027978977, 0.5577051205301008]}], "medium": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.42071836245344063, 0.7434459968681485, 0.3892564707564702]}, {"name": "triangle", "size": [20.097, 32.805], "center": [0.27383333333333315, -5.337833333333333], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "hard": [{"name": "triangle", "size": [7.299366997444494, 31.058000000000007], "center": [0.4778457789873111, 4.215316152799443], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [21.258, 30.868], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}, {"name": "rectangle", "size": [33.844, 37.362], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.262, 14.163], "center": [0.0, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_113.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_113.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_113.png", "instructions": [["rotate", -90], ["rotate", -30]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "2steps_easy_no_113", "shape1_name": "triangle", "shape2_name": "ellipse"}
|
|
2d_perception_size_medium_3steps_medium_no_40
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
B
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 40, "shape_A": {"name": "pentagon", "facecolor": [0.020028373264683763, 0.9403551930677546, 0.102520730357612], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [55.388869740618155, 58.23930417551402]}, "shape_B": {"name": "triangle", "facecolor": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456], "edgecolor": "black", "center": [8.881784197001252e-16, -1.1842378929335002e-15], "size": [38.61703878667677, 53.961466455182055]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_40.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_40.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_40.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_40.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_40.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_40.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_40.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [17.615000000000002, 28.886000000000003], "center": [0.8698333333333341, -3.003], "color": [0.20266669317840946, 0.2642699552272437, 0.6560507087126461]}, {"name": "triangle", "size": [57.774, 35.229], "center": [-6.006, -1.7394999999999996], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615, 28.886000000000003], "center": [-9.999666666666666, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [38.617000000000004, 53.961], "center": [-1.2325, -7.226499999999999], "color": [0.5123556311688077, 0.023431951568677833, 0.27404973997850446]}], "medium": [{"name": "triangle", "size": [16.17, 61.45], "center": [0.34266666666666684, -9.17], "color": [0.40319507283336264, 0.8380703961366016, 0.5234056690561205]}, {"name": "triangle", "size": [38.617000000000004, 53.961], "center": [-1.2325, -7.226499999999999], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615, 28.886000000000003], "center": [-9.999666666666666, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615000000000002, 28.886000000000003], "center": [0.8698333333333341, -3.003], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}], "hard": [{"name": "triangle", "size": [38.617000000000004, 53.961], "center": [-1.2325, -7.226499999999999], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615000000000002, 10.741143680548344], "center": [-1.8311989822411465, -0.5303647401945512], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615000000000002, 28.886000000000003], "center": [0.8698333333333341, -3.003], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615, 28.886000000000003], "center": [-9.999666666666666, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [55.388999999999996, 58.239999999999995], "center": [-10.0, -10.0], "color": [0.020028373264683763, 0.9403551930677546, 0.102520730357612]}, {"name": "pentagon", "size": [57.92099999999999, 56.967], "center": [-9.999999999999996, -10.000200000000001], "color": [0.020028373264683763, 0.9403551930677546, 0.102520730357612]}, {"name": "pentagon", "size": [28.96, 28.483999999999998], "center": [-9.999799999999999, -10.0002], "color": [0.020028373264683763, 0.9403551930677546, 0.102520730357612]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [38.617000000000004, 53.961], "center": [-10.0, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [35.229, 57.774], "center": [-10.0, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615, 28.886000000000003], "center": [-9.999666666666666, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_40.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_40.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_40.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_40.png", "instructions": [["translate", [-10, -10]], ["rotate", 60], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and slightly downward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_40", "shape1_name": "triangle", "shape2_name": "triangle"}
|
|
2d_perception_position_easy_2steps_easy_no_115
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
A
|
position
|
[
"below and to the left of the black dot",
"below and to the right of the black dot",
"above and to the left of the black dot",
"above the black dot"
] |
{"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.351615522514766, 30.351615522514766]}, "shape_B": {"name": "rectangle", "facecolor": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.654204961769885, 22.17193081035603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.8843106463953841, 0.3845919597765035, 0.992382997611231]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [18.818, 17.264], "center": [0.0, 0.0], "color": [0.9544484660995831, 0.06595671535255854, 0.08502888533807029]}], "medium": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.172, 30.653999999999996], "center": [0.0, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.7311612379427683, 0.6841534816362329, 0.06681407266419448]}], "hard": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.171999999999997, 30.656], "center": [0.0, 0.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.351999999999997, 30.351999999999997], "center": [-10.0, -9.999999999999998], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}, {"name": "square", "size": [41.462, 41.462], "center": [-10.0, -10.0], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_115.png", "instructions": [["translate", [-10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>\n- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "2steps_easy_no_115", "shape1_name": "rectangle", "shape2_name": "rectangle"}
|
|
2d_perception_size_medium_3steps_medium_no_111
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 111, "shape_A": {"name": "triangle", "facecolor": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064], "edgecolor": "black", "center": [0.0, 1.0362081563168128e-15], "size": [34.880908315745884, 62.491416773673286]}, "shape_B": {"name": "pentagon", "facecolor": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [60.11513625476638, 63.20879487682315]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_111.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_111.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_111.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_111.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_111.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_111.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [30.058, 31.604], "center": [-1.5866000000000002, 0.0], "color": [0.7732589289955211, 0.03712621652831083, 0.6433149869632053]}, {"name": "pentagon", "size": [31.430999999999997, 30.913], "center": [10.0, 29.999800000000004], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [76.452, 79.23599999999999], "center": [-2.186999999999999, -1.0927999999999998], "color": [0.9160079617964271, 0.023756987733296486, 0.7213021149272848]}, {"name": "pentagon", "size": [60.115, 63.208], "center": [-3.173300000000001, 0.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}], "medium": [{"name": "pentagon", "size": [41.766999999999996, 38.455], "center": [1.4164999999999992, 0.13629999999999995], "color": [0.8658920754168428, 0.8977155131043911, 0.12592334214196022]}, {"name": "pentagon", "size": [31.430999999999997, 30.913], "center": [10.0, 29.999800000000004], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [30.058, 31.604], "center": [-1.5866000000000002, 0.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [60.115, 63.208], "center": [-3.173300000000001, 0.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [34.879999999999995, 62.492], "center": [10.0, 30.0], "color": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064]}, {"name": "triangle", "size": [17.44, 31.246000000000002], "center": [9.999666666666666, 30.0], "color": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064]}, {"name": "triangle", "size": [22.715, 23.147000000000002], "center": [10.0, 30.0], "color": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [60.115, 63.208], "center": [10.0002, 30.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [30.058, 31.604], "center": [10.000399999999999, 30.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [31.430999999999997, 30.913], "center": [10.0, 29.999800000000004], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_111.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_111.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_111.png", "instructions": [["translate", [10, 30]], ["scale", 0.5], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon a little to the right and significantly upward. <shapeB_step_0>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_1>\n- Rotate the pentagon by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_111", "shape1_name": "pentagon", "shape2_name": "hexagon"}
|
|
2d_perception_shape_easy_1steps_easy_no_11
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 11, "shape_A": {"name": "rectangle", "facecolor": [0.5776511530902706, 0.7741944842449918, 0.39812975179986976], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.17938309182564, 24.02184680443587]}, "shape_B": {"name": "circle", "facecolor": [0.55210494834027, 0.5575626751964372, 0.1787195978329551], "edgecolor": "black", "center": [-9.769962616701378e-16, -1.2878587085651815e-15], "size": [60.52052797084585, 60.52052797084585]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_11.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [49.251999999999995, 76.348], "center": [0.0, 2.1316282072803005e-15], "color": [0.5158136315528283, 0.2316709728180616, 0.16948289181310217]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.03606113314434878, 0.23925662528737723, 0.00028727185462340543]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [30.672, 31.632], "center": [3.9968028886505636e-16, 6.439293542825908e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "medium": [{"name": "circle", "size": [84.25399999999999, 78.56], "center": [-2.1316282072803005e-15, 2.220446049250313e-15], "color": [0.1827844526404001, 0.7461562580101736, 0.9302552633727152]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [35.214, 33.432], "center": [0.00010000000000047749, 2.4999999999497646e-05], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "hard": [{"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.52, 41.720668141681124], "center": [1.6875389974302379e-15, -1.4210854715202005e-15], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [35.61, 33.478], "center": [1.9539925233402757e-15, 1.5543122344752192e-15], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [33.18000000000001, 24.022], "center": [30.0, -9.999999999999998], "color": [0.5776511530902706, 0.7741944842449918, 0.39812975179986976]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_11.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_11.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_11.png", "instructions": [["translate", [30, -10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_11", "shape1_name": "circle", "shape2_name": "triangle"}
|
|
2d_perception_position_easy_3steps_easy_no_104
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
A
|
position
|
[
"above and to the right of the black dot",
"below and to the left of the black dot",
"to the right of the black dot",
"above and to the left of the black dot"
] |
{"instance_id": 104, "shape_A": {"name": "ellipse", "facecolor": [0.7107444414023226, 0.7521421273061247, 0.18434667452866027], "edgecolor": "black", "center": [-3.552713678800501e-16, -1.4099832412739487e-15], "size": [34.59203167298348, 23.985925995661848]}, "shape_B": {"name": "hexagon", "facecolor": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [62.174276484466446, 53.84450289746539]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_104.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_104.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_104.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_104.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_104.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_104.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_104.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [62.17400000000001, 53.844], "center": [-8.881784197001252e-16, 0.0], "color": [0.32444724448470597, 0.04270606279151812, 0.20279236989654248]}, {"name": "hexagon", "size": [62.17400000000001, 53.843999999999994], "center": [40.0, 9.999999999999998], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [31.088, 26.922], "center": [8.881784197001252e-16, 0.0], "color": [0.3011948649955787, 0.7285940705193015, 0.2362776130637827]}, {"name": "hexagon", "size": [53.843999999999994, 62.17400000000001], "center": [1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}], "medium": [{"name": "hexagon", "size": [31.088, 26.921999999999997], "center": [2.9605947323337506e-16, 0.0], "color": [0.2771766060550862, 0.8536716417373096, 0.7393417267342869]}, {"name": "hexagon", "size": [62.17400000000001, 53.843999999999994], "center": [40.0, 9.999999999999998], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [46.63004368385498, 53.843999999999994], "center": [0.0, 0.0], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [62.17400000000001, 53.844], "center": [-8.881784197001252e-16, 0.0], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}], "hard": [{"name": "hexagon", "size": [26.921999999999997, 31.088], "center": [0.0, 2.9605947323337506e-16], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [62.17400000000001, 53.844], "center": [-8.881784197001252e-16, 0.0], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [62.17400000000001, 53.843999999999994], "center": [40.0, 9.999999999999998], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [46.63004368385498, 53.843999999999994], "center": [0.0, -1.7763568394002505e-15], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.592, 23.986], "center": [10.0, 2.2204460492503132e-17], "color": [0.7107444414023226, 0.7521421273061247, 0.18434667452866027]}, {"name": "ellipse", "size": [34.592, 23.986], "center": [10.0, -2.2204460492503132e-17], "color": [0.7107444414023226, 0.7521421273061247, 0.18434667452866027]}, {"name": "ellipse", "size": [34.592, 23.985999999999997], "center": [39.99999999999999, 9.999999999999998], "color": [0.7107444414023226, 0.7521421273061247, 0.18434667452866027]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [62.17400000000001, 53.844], "center": [10.0, 0.0], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [62.17400000000001, 53.844], "center": [10.0, 0.0], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [62.17400000000001, 53.843999999999994], "center": [40.0, 9.999999999999998], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_104.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_104.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_104.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_104.png", "instructions": [["translate", [10, 0]], ["flip", "horizontal"], ["translate", [30, 10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right. <shapeB_step_0>\n- Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Shift the hexagon to the right by a significant amount and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "3steps_easy_no_104", "shape1_name": "hexagon", "shape2_name": "circle"}
|
|
2d_perception_shape_easy_1steps_easy_no_94
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 94, "shape_A": {"name": "pentagon", "facecolor": [0.24810764484723313, 0.41230148540455513, 0.29126769808795006], "edgecolor": "black", "center": [1.0658141036401502e-15, 0.0], "size": [54.626525422621214, 57.43772792327755]}, "shape_B": {"name": "square", "facecolor": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.226565151586435, 32.226565151586435]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_94.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_94.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_94.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_94.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_94.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_94.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_94.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [16.114, 16.114], "center": [0.0, 0.0], "color": [0.42574485230529013, 0.8788199716914603, 0.9475228690718258]}, {"name": "square", "size": [32.226, 32.226], "center": [0.0, -10.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [32.226, 32.226], "center": [0.0, 0.0], "color": [0.20119006081159474, 0.5739943079967187, 0.286535323460543]}, {"name": "square", "size": [44.022000000000006, 44.022000000000006], "center": [-1.7763568394002505e-15, -1.3322676295501878e-15], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}], "medium": [{"name": "square", "size": [44.022000000000006, 44.022000000000006], "center": [-1.7763568394002505e-15, 1.7763568394002505e-15], "color": [0.9263021714527396, 0.2586802391870068, 0.24684779335980211]}, {"name": "square", "size": [32.226, 32.226], "center": [0.0, 0.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [22.012, 22.012], "center": [8.881784197001252e-16, 0.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [32.226, 32.226], "center": [0.0, -10.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}], "hard": [{"name": "square", "size": [32.226, 32.226], "center": [0.0, -10.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [32.226, 32.226], "center": [0.0, 0.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [16.112000000000002, 16.112], "center": [0.0, -1.7763568394002505e-15], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}, {"name": "square", "size": [44.022000000000006, 44.022000000000006], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [54.626999999999995, 57.438], "center": [-0.00020000000000024442, -10.0], "color": [0.24810764484723313, 0.41230148540455513, 0.29126769808795006]}], "tranformed_B_sequence_info": [{"name": "square", "size": [32.226, 32.226], "center": [0.0, -10.0], "color": [0.49362490810175186, 0.3495485821044023, 0.7006678713960204]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_94.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_94.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_94.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_94.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_94.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_94", "shape1_name": "square", "shape2_name": "square"}
|
|
2d_perception_shape_easy_3steps_easy_no_35
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 35, "shape_A": {"name": "square", "facecolor": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.731355305141214, 34.731355305141214]}, "shape_B": {"name": "circle", "facecolor": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453], "edgecolor": "black", "center": [-3.552713678800501e-16, -1.6209256159527285e-15], "size": [67.16265623330358, 67.16265623330358]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_35.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_35.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_35.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_35.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_35.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_35.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_35.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [67.162, 67.162], "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "color": [0.03912024451337648, 0.6447756664177201, 0.0694541146598261]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [161.938, 160.628], "center": [-5.151434834260726e-15, 6.217248937900877e-15], "color": [0.09511981777735212, 0.8025132821133648, 0.7232536695971956]}, {"name": "circle", "size": [40.182, 41.468], "center": [2.6645352591003756e-16, -2.6645352591003756e-16], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}], "medium": [{"name": "circle", "size": [38.66, 40.568], "center": [-1.7763568394002506e-16, -1.6875389974302379e-15], "color": [0.6594807777340282, 0.7352682788361867, 0.2058912343901773]}, {"name": "circle", "size": [67.162, 67.162], "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [55.70885862202439, 67.07], "center": [2.6645352591003756e-16, 1.5987211554602255e-15], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}], "hard": [{"name": "circle", "size": [38.876, 43.382], "center": [7.50000000002693e-05, 2.5000000001096367e-05], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.162, 67.162], "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [77.081, 80.034], "center": [5.000000000165983e-05, -0.00042500000000211813], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.732, 34.732], "center": [10.0, -10.0], "color": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606]}, {"name": "square", "size": [34.732, 34.732], "center": [20.0, -20.0], "color": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606]}, {"name": "square", "size": [47.444, 47.444], "center": [20.000000000000004, -20.0], "color": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.162, 67.162], "center": [10.000000000000004, -9.999999999999996], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.162, 67.162], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_35.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_35.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_35.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_35.png", "instructions": [["translate", [10, -10]], ["translate", [10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly downward. <shapeB_step_0>\n- Shift the circle a little to the right and slightly downward. <shapeB_step_1>\n- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "3steps_easy_no_35", "shape1_name": "circle", "shape2_name": "ellipse"}
|
|
2d_perception_shape_medium_2steps_medium_no_108
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 108, "shape_A": {"name": "rectangle", "facecolor": [0.8767270681615356, 0.6443444692776149, 0.8974879587435582], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.623976282115695, 20.868938986027434]}, "shape_B": {"name": "circle", "facecolor": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864], "edgecolor": "black", "center": [0.0, 1.9984014443252818e-16], "size": [67.59814418628085, 67.59814418628085]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_108.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_108.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_108.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_108.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_108.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_108.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_108.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [86.904, 77.958], "center": [-7.499999999964757e-05, 2.5000000000385825e-05], "color": [0.41442808114006335, 0.082164236269745, 0.805204391596255]}, {"name": "circle", "size": [67.598, 67.598], "center": [30.000000000000007, 9.999999999999998], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [33.8, 33.8], "center": [5.000000000041638e-05, -5.000000000063842e-05], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [67.598, 67.598], "center": [3.774758283725532e-16, 0.0], "color": [0.9796620690634124, 0.5020806749402426, 0.46620121433279094]}], "medium": [{"name": "circle", "size": [67.598, 67.598], "center": [30.000000000000007, 9.999999999999998], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [92.44, 84.182], "center": [-0.00010000000000118803, 0.0003250000000019959], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [33.8, 33.8], "center": [5.000000000041638e-05, -5.000000000063842e-05], "color": [0.8027990196946074, 0.4423104869151685, 0.5948011493559959]}, {"name": "circle", "size": [67.598, 67.598], "center": [3.774758283725532e-16, 0.0], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}], "hard": [{"name": "circle", "size": [73.10400000000001, 78.918], "center": [-4.973799150320701e-15, -1.0658141036401502e-15], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [67.598, 67.598], "center": [3.774758283725532e-16, 0.0], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [33.8, 33.8], "center": [3.552713678800501e-16, 1.7763568394002506e-16], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [67.598, 67.598], "center": [30.000000000000007, 9.999999999999998], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [20.868, 30.624], "center": [0.0, 0.0], "color": [0.8767270681615356, 0.6443444692776149, 0.8974879587435582]}, {"name": "rectangle", "size": [20.868, 30.624000000000002], "center": [30.0, 10.0], "color": [0.8767270681615356, 0.6443444692776149, 0.8974879587435582]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.598, 67.598], "center": [3.774758283725532e-16, 0.0], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}, {"name": "circle", "size": [67.598, 67.598], "center": [30.000000000000007, 9.999999999999998], "color": [0.45603252550947726, 0.6985436302996125, 0.5033354749867864]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_108.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_108.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_108.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_108.png", "instructions": [["rotate", 90], ["translate", [30, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_108", "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_size_easy_1steps_easy_no_91
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 91, "shape_A": {"name": "hexagon", "facecolor": [0.2844907865223737, 0.490191428635519, 0.860096470142603], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.72284426429722, 56.051627338065344]}, "shape_B": {"name": "circle", "facecolor": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627], "edgecolor": "black", "center": [-5.329070518200751e-16, -6.217248937900876e-16], "size": [62.761948360869376, 62.761948360869376]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_91.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_91.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_91.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_91.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_91.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_91.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_91.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.203, 75.241], "center": [2.5000000003672086e-05, -2.4999999999053557e-05], "color": [0.17045698438180878, 0.29106518352857225, 0.10669406121674552]}, {"name": "circle", "size": [37.546, 41.736], "center": [-1.7763568394002506e-16, 5.0000000000238744e-05], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [62.762, 62.762], "center": [-5.329070518200751e-16, 7.993605777301127e-16], "color": [0.7381392947242232, 0.7402127472856728, 0.00045506591074484515]}, {"name": "circle", "size": [31.38, 31.38], "center": [-1.3322676295501878e-16, -5.995204332975846e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}], "medium": [{"name": "circle", "size": [31.38, 31.38], "center": [-1.3322676295501878e-16, -5.995204332975846e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [73.862, 81.69800000000001], "center": [-1.2434497875801752e-15, -3.552713678800501e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [100.0, 30.13049500619669], "center": [0.0003442605687972389, -0.0004050124338836336], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [62.762, 62.762], "center": [9.769962616701378e-16, 4.2188474935755947e-16], "color": [0.8900295275670176, 0.15214680918783785, 0.6192798234684117]}], "hard": [{"name": "circle", "size": [31.38, 18.266872077028886], "center": [4.884981308350689e-16, 4.4408920985006264e-17], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [64.86, 62.872], "center": [-8.881784197001253e-17, 3.552713678800501e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [100.0, 48.322407974865214], "center": [2.3092638912203257e-15, 8.437694987151189e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}, {"name": "circle", "size": [31.38, 31.38], "center": [-1.3322676295501878e-16, -5.995204332975846e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [32.362, 28.026], "center": [0.0, 0.0], "color": [0.2844907865223737, 0.490191428635519, 0.860096470142603]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [31.38, 31.38], "center": [-1.3322676295501878e-16, -5.995204332975846e-16], "color": [0.3018879356396925, 0.9408074716800677, 0.9085914814720627]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_91.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_91.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_91.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_91.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_91.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_91", "shape1_name": "circle", "shape2_name": "triangle"}
|
|
2d_perception_position_hard_2steps_hard_no_58
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
B
|
position
|
[
"above and to the left of the black dot",
"below the black dot",
"to the left of the black dot",
"above and to the right of the black dot"
] |
{"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "edgecolor": "black", "center": [2.9605947323337506e-16, 0.0], "size": [22.22020074526217, 65.93177331374169]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_58.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.8972026556024508, 0.29418970966334046, 0.44882550514848696]}, {"name": "triangle", "size": [25.442, 25.031], "center": [3.2853333333333334, 3.1101666666666667], "color": [0.8254680219164111, 0.9787479157847337, 0.6649664479842091]}], "medium": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06100000000001], "center": [-6.571000000000001, -6.220499999999999], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.031230003483582847, 0.6310233902195113, 0.20404491147195392]}], "hard": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06099999999999], "center": [-6.571000000000001, -6.220499999999998], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [45.044, 45.044], "center": [0.0, 0.0], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}, {"name": "square", "size": [22.522, 22.522], "center": [0.0, -2.220446049250313e-16], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.0, 0.0003333333333337407], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_58.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_58.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_58", "shape1_facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "shape2_facecolor": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426], "shape1_name": "triangle", "shape2_name": "triangle"}
|
|
2d_perception_size_easy_2steps_easy_no_58
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
B
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "edgecolor": "black", "center": [2.9605947323337506e-16, 0.0], "size": [22.22020074526217, 65.93177331374169]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_58.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.8972026556024508, 0.29418970966334046, 0.44882550514848696]}, {"name": "triangle", "size": [25.442, 25.031], "center": [3.2853333333333334, 3.1101666666666667], "color": [0.8254680219164111, 0.9787479157847337, 0.6649664479842091]}], "medium": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06100000000001], "center": [-6.571000000000001, -6.220499999999999], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.031230003483582847, 0.6310233902195113, 0.20404491147195392]}], "hard": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06099999999999], "center": [-6.571000000000001, -6.220499999999998], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [45.044, 45.044], "center": [0.0, 0.0], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}, {"name": "square", "size": [22.522, 22.522], "center": [0.0, -2.220446049250313e-16], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.0, 0.0003333333333337407], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_58.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_58.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "2steps_easy_no_58", "shape1_name": "triangle", "shape2_name": "triangle"}
|
|
2d_perception_position_hard_2steps_hard_no_79
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
C
|
position
|
[
"to the left of the black dot",
"below the black dot",
"above and to the right of the black dot",
"above the black dot"
] |
{"instance_id": 79, "shape_A": {"name": "circle", "facecolor": [0.09381602193378857, 0.38961179716607963, 0.7759808678382729], "edgecolor": "black", "center": [5.329070518200751e-16, -7.993605777301127e-16], "size": [69.85271489242153, 69.85271489242153]}, "shape_B": {"name": "triangle", "facecolor": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315], "edgecolor": "black", "center": [1.7763568394002505e-15, 0.0], "size": [55.88769434334827, 41.41621836894479]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_79.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_79.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_79.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_79.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_79.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_79.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_79.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [55.888, 41.416], "center": [7.140999999999999, 4.836000000000001], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [45.3, 60.551], "center": [0.20199999999999937, 1.0124999999999993], "color": [0.17165085409834469, 0.17073600541781841, 0.8509839769087465]}, {"name": "triangle", "size": [55.888, 41.416], "center": [40.0, 20.0], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [63.459999999999994, 33.759], "center": [6.589999999999999, -1.8984999999999996], "color": [0.7063472041478874, 0.18025969941638342, 0.13260411955756124]}], "medium": [{"name": "triangle", "size": [55.888, 41.416], "center": [40.0, 20.0], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [45.301, 60.551], "center": [0.2014999999999998, 1.0124999999999993], "color": [0.15734191755300198, 0.2795105892766321, 0.8085098403452637]}, {"name": "triangle", "size": [52.242, 78.262], "center": [-0.36899999999999994, -2.9269999999999996], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [55.888, 41.416], "center": [7.140999999999999, 4.836000000000001], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}], "hard": [{"name": "triangle", "size": [55.888000000000005, 29.730020548376924], "center": [5.803686101481247, -1.6718256119340271], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [27.944000000000003, 20.708], "center": [3.5703333333333327, 2.4180000000000006], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [55.888, 41.416], "center": [7.140999999999999, 4.836000000000001], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [55.888, 41.416], "center": [40.0, 20.0], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [69.852, 69.852], "center": [30.000000000000007, 10.000000000000002], "color": [0.09381602193378857, 0.38961179716607963, 0.7759808678382729]}, {"name": "circle", "size": [69.852, 69.852], "center": [40.000000000000014, 19.999999999999996], "color": [0.09381602193378857, 0.38961179716607963, 0.7759808678382729]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [55.888, 41.416], "center": [30.0, 9.999999999999998], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [55.888, 41.416], "center": [40.0, 20.0], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_79.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_79.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_79.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_79.png", "instructions": [["translate", [30, 10]], ["translate", [10, 10]]], "correct_answer": {"easy": "C", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle a little to the right and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_79", "shape1_name": "triangle", "shape2_name": "triangle"}
|
|
2d_perception_size_hard_2steps_hard_no_117
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
A
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 117, "shape_A": {"name": "ellipse", "facecolor": [0.7218298009143069, 0.237713172425009, 0.5423320422772745], "edgecolor": "black", "center": [-2.220446049250313e-16, -1.3988810110276972e-15], "size": [32.0013952532714, 22.21799979044379]}, "shape_B": {"name": "hexagon", "facecolor": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.87508092385881, 53.58539194127964]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_117.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_117.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_117.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_117.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_117.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_117.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_117.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.9952458958033793, 0.43834090334037057, 0.0007170637618100217]}, {"name": "hexagon", "size": [53.586, 61.876000000000005], "center": [0.0, -5.921189464667501e-16], "color": [0.03433766741658173, 0.5310529134625389, 0.5349079969643663]}], "medium": [{"name": "hexagon", "size": [10.894293268075252, 26.792000000000005], "center": [-2.220446049250313e-16, -5.181040781584064e-16], "color": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "hard": [{"name": "hexagon", "size": [65.422, 82.538], "center": [3.7007434154171886e-16, -1.1842378929335002e-15], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.001999999999995, 22.218000000000004], "center": [30.00000000000001, -29.999999999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}, {"name": "ellipse", "size": [16.0, 11.109000000000002], "center": [30.00014999999999, -29.999774999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_117.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_117.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_117.png", "instructions": [["translate", [30, -30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_117", "shape1_name": "hexagon", "shape2_name": "hexagon"}
|
|
2d_perception_color_hard_2steps_hard_no_51
|
Are these two shapes the same color or different colors?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
color
|
[
"Same color",
"Different colors"
] |
{"instance_id": 51, "shape_A": {"name": "circle", "facecolor": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901], "edgecolor": "black", "center": [0.0, 7.993605777301127e-16], "size": [63.11615786927266, 63.11615786927266]}, "shape_B": {"name": "ellipse", "facecolor": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509], "edgecolor": "black", "center": [9.325873406851315e-16, -4.274358644806853e-16], "size": [31.636633103351482, 22.941760952071057]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_51.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [22.941999999999997, 31.635999999999996], "center": [-6.217248937900876e-16, -1.1102230246251565e-15], "color": [0.4224821603504274, 0.7281976495822304, 0.22706922763976467]}, {"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [15.817999999999998, 11.470999999999997], "center": [0.0, 0.0003250000000029729], "color": [0.5960065390007009, 0.7527063322908609, 0.5552393854223482]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "medium": [{"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.9107189250917151, 0.8517868407321012, 0.8152855109911061]}, {"name": "ellipse", "size": [15.817999999999998, 11.471], "center": [-9.999999999967812e-05, 0.0003750000000009246], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [22.942, 31.636000000000003], "center": [-9.992007221626409e-17, 3.552713678800501e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "hard": [{"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [22.941999999999997, 31.636000000000003], "center": [6.217248937900876e-16, -3.552713678800501e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [16.635778227335944, 22.942], "center": [-4.263256414560601e-15, 4.440892098500626e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [63.116, 63.116], "center": [29.999999999999993, -29.999999999999993], "color": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901]}, {"name": "circle", "size": [63.11600000000001, 63.116], "center": [39.99999999999999, -29.999999999999993], "color": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [30.000000000000007, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_51.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_51.png", "instructions": [["translate", [30, -30]], ["translate", [10, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_51", "shape1_facecolor": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509], "shape2_facecolor": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}
|
|
2d_perception_position_medium_3steps_medium_no_109
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
A
|
position
|
[
"below and to the right of the black dot",
"below the black dot",
"to the right of the black dot",
"below and to the left of the black dot"
] |
{"instance_id": 109, "shape_A": {"name": "triangle", "facecolor": [0.7675200668955402, 0.14154581613407047, 0.9567019906659003], "edgecolor": "black", "center": [-1.1842378929335002e-15, 0.0], "size": [66.48918394374192, 43.10170094991224]}, "shape_B": {"name": "circle", "facecolor": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128], "edgecolor": "black", "center": [0.0, 1.3322676295501878e-16], "size": [65.58151792520623, 65.58151792520623]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_109.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_109.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_109.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_109.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_109.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_109.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_109.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [32.791, 32.791], "center": [0.00027500000000113545, 0.0004249999999990983], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.582, 65.582], "center": [1.7763568394002506e-16, -1.0658141036401502e-15], "color": [0.5863485345959211, 0.29571815651575206, 0.11901528655487881]}, {"name": "circle", "size": [52.034, 103.976], "center": [1.865174681370263e-15, -2.49999999947903e-05], "color": [0.006071189923965381, 0.8181163744491221, 0.6541969449061118]}, {"name": "circle", "size": [65.492, 65.492], "center": [29.99997499999999, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}], "medium": [{"name": "circle", "size": [65.492, 65.492], "center": [29.99997499999999, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.582, 65.582], "center": [1.7763568394002506e-16, -1.0658141036401502e-15], "color": [0.7762934949931305, 0.8170713508473622, 0.31934129824148383]}, {"name": "circle", "size": [35.428, 36.916], "center": [0.0001249999999992646, 0.00010000000000074394], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [90.905, 84.547], "center": [-7.500000000302265e-05, 2.499999999852065e-05], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}], "hard": [{"name": "circle", "size": [75.29400000000001, 79.96], "center": [-2.1316282072803005e-15, 2.4868995751603505e-15], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.492, 65.492], "center": [29.99997499999999, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [80.1, 100.68], "center": [1.1546319456101628e-15, -3.197442310920451e-15], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.582, 65.582], "center": [1.7763568394002506e-16, -1.0658141036401502e-15], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [66.489, 43.102000000000004], "center": [30.0, -9.999666666666668], "color": [0.7675200668955402, 0.14154581613407047, 0.9567019906659003]}, {"name": "triangle", "size": [43.102000000000004, 66.489], "center": [30.000333333333334, -10.0], "color": [0.7675200668955402, 0.14154581613407047, 0.9567019906659003]}, {"name": "triangle", "size": [49.464, 49.884], "center": [29.999666666666666, -9.999666666666668], "color": [0.7675200668955402, 0.14154581613407047, 0.9567019906659003]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [65.582, 65.582], "center": [29.999999999999993, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.582, 65.582], "center": [30.000000000000007, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.492, 65.492], "center": [29.99997499999999, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_109.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_109.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_109.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_109.png", "instructions": [["translate", [30, -10]], ["rotate", -90], ["rotate", 30]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_109", "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_shape_easy_2steps_easy_no_0
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [3.552713678800501e-16, 7.105427357601002e-16], "size": [59.73126308469467, 62.805166739594156]}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [3.552713678800501e-16, 4.662936703425658e-16], "size": [66.98139394988227, 66.98139394988227]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_0.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.28999999999999, 66.982], "center": [8.881784197001252e-16, -1.865174681370263e-15], "color": [0.38012622503916615, 0.4534103023684355, 0.8341104266407503]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [91.986, 82.59800000000001], "center": [1.5099033134902129e-15, 0.0], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.1626540971560848, 0.3552707002275215, 0.6701751743776934]}], "medium": [{"name": "circle", "size": [43.34, 41.682], "center": [-5.000000000072724e-05, -0.00015000000000080503], "color": [0.9538159275210801, 0.8758529403781941, 0.26338905075109076]}, {"name": "circle", "size": [78.344, 75.52600000000001], "center": [1.7763568394002505e-15, 1.9539925233402757e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [0.00020000000000024442, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}, {"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [30.0002, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_0.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_0.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5], ["translate", [30, 0]]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle to the right by a significant amount. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "2steps_easy_no_0", "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_shape_hard_3steps_hard_no_46
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 46, "shape_A": {"name": "circle", "facecolor": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979], "edgecolor": "black", "center": [-3.552713678800501e-16, -4.440892098500626e-16], "size": [67.98487233325186, 67.98487233325186]}, "shape_B": {"name": "triangle", "facecolor": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128], "edgecolor": "black", "center": [5.921189464667501e-16, 0.0], "size": [50.99089879548055, 40.220157193936984]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [14.483, 60.849999999999994], "center": [-1.2754999999999999, 8.31], "color": [0.0770404484725824, 0.6931990618593454, 0.3216625516112498]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [50.991, 40.22], "center": [5.0675, -4.424], "color": [0.8274478911329491, 0.7024348173059176, 0.7955570782592551]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [2.533666666666667, -2.212000000000002], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}], "medium": [{"name": "triangle", "size": [14.483000000000004, 60.851], "center": [-1.2754999999999999, 8.310166666666666], "color": [0.4602388711184705, 0.4378709532106887, 0.5910629290058035]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [25.495999999999995, 12.691169729259538], "center": [4.129820352047164, 0.21561620335133416], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [50.991, 40.22], "center": [5.0675, -4.424], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}], "hard": [{"name": "triangle", "size": [50.991, 40.22], "center": [5.0675, -4.424], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [4.786411339359079, 20.110000000000003], "center": [-0.4215333607230889, 2.746328677074773], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [20.11, 25.496000000000002], "center": [2.212, 2.534], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [67.984, 67.984], "center": [-10.0, -1.1990408665951691e-15], "color": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979]}, {"name": "circle", "size": [67.984, 67.984], "center": [-20.000000000000007, 30.0], "color": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979]}, {"name": "circle", "size": [33.992000000000004, 33.992000000000004], "center": [-20.000099999999996, 30.000049999999998], "color": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [50.991, 40.22], "center": [-10.0, -5.921189464667501e-16], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [50.991, 40.22], "center": [-20.000000000000004, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_46.png", "instructions": [["translate", [-10, 0]], ["translate", [-10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left. <shapeB_step_0>\n- Shift the triangle a little to the left and significantly upward. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_46", "shape1_name": "triangle", "shape2_name": "pentagon"}
|
|
2d_perception_shape_hard_1steps_hard_no_119
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [62.38601511685521, 65.59653821613074]}, "shape_B": {"name": "rectangle", "facecolor": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.352761751473544, 20.069623533794292]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [16.176, 10.034000000000002], "center": [0.0, 1.7763568394002505e-15], "color": [0.7916012896307182, 0.8858480336699703, 0.325896016829761]}, {"name": "rectangle", "size": [38.054, 33.55800000000001], "center": [0.0, 8.881784197001252e-16], "color": [0.43717502926126484, 0.5517078489548533, 0.49083160755990596]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "medium": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [12.449925820609508, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [20.069999999999997, 32.352000000000004], "center": [-1.7763568394002505e-15, 0.0], "color": [0.8689337559539068, 0.9517460276412456, 0.7239486144303212]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "hard": [{"name": "rectangle", "size": [29.91, 43.944], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [48.376, 43.496], "center": [-3.885780586188048e-16, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [62.385999999999996, 65.596], "center": [-30.0, 0.0], "color": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_119.png", "instructions": [["translate", [-30, 0]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the left by a significant amount. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "1steps_hard_no_119", "shape1_name": "rectangle", "shape2_name": "rectangle"}
|
|
2d_perception_size_easy_1steps_easy_no_113
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
A
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 113, "shape_A": {"name": "hexagon", "facecolor": [0.555322532214736, 0.9909776469521401, 0.8414957444249653], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.87400488390536, 53.584460063344466]}, "shape_B": {"name": "rectangle", "facecolor": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.173776328926845, 24.62562543986995]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_113.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_113.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_113.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_113.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_113.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_113.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_113.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [30.0, -30.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [19.656, 18.456], "center": [0.0, -1.1102230246251565e-16], "color": [0.35488710719297956, 0.47819897901811004, 0.8706699593434426]}, {"name": "rectangle", "size": [39.31, 36.914], "center": [0.0, -8.881784197001252e-16], "color": [0.4670344418344139, 0.5255030040148531, 0.13956648318613685]}], "medium": [{"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [36.914, 39.31], "center": [-4.440892098500626e-16, 0.0], "color": [0.9076265589207296, 0.6131727033691329, 0.11798361424253423]}, {"name": "rectangle", "size": [15.586, 12.312], "center": [0.0, 8.881784197001252e-16], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [30.0, -30.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}], "hard": [{"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [30.0, -30.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [19.86333933996857, 24.626], "center": [0.0, 0.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}, {"name": "rectangle", "size": [15.586, 12.311999999999998], "center": [0.0, 0.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [61.873999999999995, 53.584], "center": [30.0, -30.0], "color": [0.555322532214736, 0.9909776469521401, 0.8414957444249653]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [31.174000000000003, 24.626], "center": [30.0, -30.0], "color": [0.5279722334819104, 0.7067748807036961, 0.7746409635462637]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_113.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_113.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_113.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_113.png", "instructions": [["translate", [30, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the right by a significant amount and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_113", "shape1_name": "rectangle", "shape2_name": "triangle"}
|
|
2d_perception_size_medium_2steps_medium_no_72
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
A
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 72, "shape_A": {"name": "square", "facecolor": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.987408871750798, 30.987408871750798]}, "shape_B": {"name": "ellipse", "facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202], "edgecolor": "black", "center": [-2.6645352591003756e-16, -9.93649607039515e-16], "size": [33.35649907947214, 22.428317324717842]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_72.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_72.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_72.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_72.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_72.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_72.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_72.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.9963587756109145, 0.30345511366585054, 0.4639304479137577]}, {"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [4.440892098500626e-16, 5.329070518200751e-16], "color": [0.6818451680946132, 0.9262228298753192, 0.816913366438626]}, {"name": "ellipse", "size": [25.528, 30.938], "center": [4.4408920985006264e-17, 7.549516567451064e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "medium": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.08240117073119624, 0.33551543368246395, 0.33149624654203025]}, {"name": "ellipse", "size": [18.506108475014543, 22.427999999999997], "center": [-4.440892098500626e-16, 2.842170943040401e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [15.47, 12.764], "center": [-3.108624468950438e-16, 3.3306690738754696e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "hard": [{"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [1.3322676295501878e-16, -1.021405182655144e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [18.504912217194565, 22.427999999999997], "center": [-6.661338147750939e-16, 4.440892098500626e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.988, 30.988], "center": [-10.0, -10.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}, {"name": "square", "size": [30.988, 30.988], "center": [0.0, -20.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-10.0, -10.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_72.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_72.png", "instructions": [["translate", [-10, -10]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the left and slightly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_72", "shape1_facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202], "shape2_facecolor": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181], "shape1_name": "ellipse", "shape2_name": "rectangle"}
|
|
2d_perception_size_hard_3steps_hard_no_96
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 96, "shape_A": {"name": "rectangle", "facecolor": [0.30832699302251243, 0.3075283277859332, 0.8676148596676885], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.485957128789444, 24.36880658090851]}, "shape_B": {"name": "circle", "facecolor": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167], "edgecolor": "black", "center": [7.993605777301127e-16, -7.327471962526033e-16], "size": [62.82025986187991, 62.82025986187991]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_96.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_96.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_96.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_96.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_96.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_96.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_96.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [62.81999999999999, 62.81999999999999], "center": [4.085620730620576e-15, 2.176037128265307e-15], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}, {"name": "circle", "size": [62.734, 62.733999999999995], "center": [7.105427357601002e-16, -20.0], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}, {"name": "circle", "size": [31.409999999999997, 31.409999999999997], "center": [-3.552713678800501e-16, -8.881784197001252e-16], "color": [0.9508662642687615, 0.9356649929823592, 0.7758201996830429]}, {"name": "circle", "size": [67.888, 71.576], "center": [2.1316282072803005e-15, 4.2854608750531044e-15], "color": [0.3182797099240997, 0.8147147601733714, 0.34926178462831214]}], "medium": [{"name": "circle", "size": [62.81999999999999, 62.81999999999999], "center": [4.085620730620576e-15, 2.176037128265307e-15], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}, {"name": "circle", "size": [74.96799999999999, 81.45], "center": [2.1316282072803005e-15, -1.0658141036401502e-15], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}, {"name": "circle", "size": [48.758, 94.47], "center": [7.105427357601002e-16, 3.819167204710538e-15], "color": [0.5477316520476981, 0.7164767814087075, 0.041052324565794995]}, {"name": "circle", "size": [62.734, 62.733999999999995], "center": [7.105427357601002e-16, -20.0], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}], "hard": [{"name": "circle", "size": [45.578, 46.772], "center": [-7.105427357601002e-16, 1.3766765505351941e-15], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}, {"name": "circle", "size": [31.41, 31.409999999999997], "center": [-1.7763568394002506e-16, -5.000000000014993e-05], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}, {"name": "circle", "size": [62.81999999999999, 62.81999999999999], "center": [4.085620730620576e-15, 2.176037128265307e-15], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}, {"name": "circle", "size": [62.734, 62.733999999999995], "center": [7.105427357601002e-16, -20.0], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.486, 24.368000000000002], "center": [9.999999999999998, 10.0], "color": [0.30832699302251243, 0.3075283277859332, 0.8676148596676885]}, {"name": "rectangle", "size": [34.486, 24.368], "center": [0.0, -20.0], "color": [0.30832699302251243, 0.3075283277859332, 0.8676148596676885]}, {"name": "rectangle", "size": [38.346, 42.05], "center": [5.551115123125783e-17, -20.0], "color": [0.30832699302251243, 0.3075283277859332, 0.8676148596676885]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [62.81999999999999, 62.81999999999999], "center": [10.0, 9.999999999999998], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}, {"name": "circle", "size": [62.82, 62.81999999999999], "center": [3.552713678800501e-16, -20.000000000000004], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}, {"name": "circle", "size": [62.734, 62.733999999999995], "center": [7.105427357601002e-16, -20.0], "color": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_96.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_96.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_96.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_96.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_96.png", "instructions": [["translate", [10, 10]], ["translate", [-10, -30]], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly upward. <shapeB_step_0>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_1>\n- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_96", "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_position_medium_3steps_medium_no_34
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
B
|
position
|
[
"below the black dot",
"above and to the right of the black dot",
"to the right of the black dot",
"above the black dot"
] |
{"instance_id": 34, "shape_A": {"name": "circle", "facecolor": [0.749943679211488, 0.6238256910981901, 0.5447337411321853], "edgecolor": "black", "center": [-1.7763568394002506e-16, 2.19824158875781e-15], "size": [69.39616809596447, 69.39616809596447]}, "shape_B": {"name": "triangle", "facecolor": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922], "edgecolor": "black", "center": [-5.921189464667501e-16, -2.3684757858670005e-15], "size": [51.032587369656255, 29.2855369499692]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_34.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [32.162, 46.358000000000004], "center": [-1.2270000000000003, -5.932333333333332], "color": [0.12633028257084666, 0.11837272816479993, 0.57693374741287]}, {"name": "triangle", "size": [7.210999999999999, 28.113999999999997], "center": [-0.42283333333333334, 2.262], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.3920121777283454, 0.7621718691834686, 0.9166653622704007]}], "medium": [{"name": "triangle", "size": [16.806509562627372, 29.286], "center": [-1.8025420520457753, -1.0922758269321216], "color": [0.18655517130882948, 0.6525227196358833, 0.22175522369833667]}, {"name": "triangle", "size": [56.227999999999994, 14.424], "center": [-4.524, -0.8456666666666663], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}], "hard": [{"name": "triangle", "size": [16.805606372347306, 29.285999999999994], "center": [1.802411086943741, 1.0923500676033153], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [35.127, 8.461], "center": [3.2485, 0.3954999999999999], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [69.39599999999999, 69.396], "center": [30.0, 10.0], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}, {"name": "circle", "size": [69.39599999999999, 69.396], "center": [60.000000000000014, 19.999999999999996], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}, {"name": "circle", "size": [69.39599999999999, 69.39599999999999], "center": [90.00000000000003, 30.0], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [51.033, 29.285999999999998], "center": [30.0, 10.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [60.0, 19.999999999999996], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_34.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_34.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_34.png", "instructions": [["translate", [30, 10]], ["translate", [30, 10]], ["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_34", "shape1_facecolor": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922], "shape2_facecolor": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128], "shape1_name": "triangle", "shape2_name": "circle"}
|
|
2d_perception_size_easy_1steps_easy_no_64
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
C
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 64, "shape_A": {"name": "square", "facecolor": [0.054229834564175294, 0.9589376337990351, 0.431737213390162], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.69267670768586, 33.69267670768586]}, "shape_B": {"name": "pentagon", "facecolor": [0.40885766208469576, 0.03666818218750345, 0.31503709461828966], "edgecolor": "black", "center": [-7.105427357601002e-16, -1.4210854715202005e-15], "size": [60.9655782991361, 64.10300256038187]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_64.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_64.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_64.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_64.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_64.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_64.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [30.483000000000004, 32.052], "center": [-1.6088999999999998, 0.0], "color": [0.40885766208469576, 0.03666818218750345, 0.31503709461828966]}, {"name": "pentagon", "size": [62.702, 63.751], "center": [0.00020000000000095497, 7.105427357601002e-16], "color": [0.40885766208469576, 0.03666818218750345, 0.31503709461828966]}, {"name": "pentagon", "size": [78.88, 86.55799999999999], "center": [3.5622000000000007, 1.6371999999999978], "color": [0.6632548849222079, 0.6139492225461329, 0.04635707922530452]}, {"name": "pentagon", "size": [28.671000000000003, 111.684], "center": [0.013500000000000512, -3.0879999999999996], "color": [0.37778072163342047, 0.6550150441194422, 0.09560579032361716]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [46.026, 46.026], "center": [0.0, 0.0], "color": [0.054229834564175294, 0.9589376337990351, 0.431737213390162]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [62.702, 63.751], "center": [0.00020000000000095497, 7.105427357601002e-16], "color": [0.40885766208469576, 0.03666818218750345, 0.31503709461828966]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_64.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_64.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_64.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_64.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_64.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_64", "shape1_name": "pentagon", "shape2_name": "circle"}
|
|
2d_perception_position_hard_3steps_hard_no_34
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
B
|
position
|
[
"above the black dot",
"above and to the right of the black dot",
"to the right of the black dot",
"below the black dot"
] |
{"instance_id": 34, "shape_A": {"name": "circle", "facecolor": [0.749943679211488, 0.6238256910981901, 0.5447337411321853], "edgecolor": "black", "center": [-1.7763568394002506e-16, 2.19824158875781e-15], "size": [69.39616809596447, 69.39616809596447]}, "shape_B": {"name": "triangle", "facecolor": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922], "edgecolor": "black", "center": [-5.921189464667501e-16, -2.3684757858670005e-15], "size": [51.032587369656255, 29.2855369499692]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_34.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [32.162, 46.358000000000004], "center": [-1.2270000000000003, -5.932333333333332], "color": [0.12633028257084666, 0.11837272816479993, 0.57693374741287]}, {"name": "triangle", "size": [7.210999999999999, 28.113999999999997], "center": [-0.42283333333333334, 2.262], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.3920121777283454, 0.7621718691834686, 0.9166653622704007]}], "medium": [{"name": "triangle", "size": [16.806509562627372, 29.286], "center": [-1.8025420520457753, -1.0922758269321216], "color": [0.18655517130882948, 0.6525227196358833, 0.22175522369833667]}, {"name": "triangle", "size": [56.227999999999994, 14.424], "center": [-4.524, -0.8456666666666663], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}], "hard": [{"name": "triangle", "size": [16.805606372347306, 29.285999999999994], "center": [1.802411086943741, 1.0923500676033153], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [35.127, 8.461], "center": [3.2485, 0.3954999999999999], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [69.39599999999999, 69.396], "center": [30.0, 10.0], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}, {"name": "circle", "size": [69.39599999999999, 69.396], "center": [60.000000000000014, 19.999999999999996], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}, {"name": "circle", "size": [69.39599999999999, 69.39599999999999], "center": [90.00000000000003, 30.0], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [51.033, 29.285999999999998], "center": [30.0, 10.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [60.0, 19.999999999999996], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_34.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_34.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_34.png", "instructions": [["translate", [30, 10]], ["translate", [30, 10]], ["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_34", "shape1_name": "triangle", "shape2_name": "circle"}
|
|
2d_perception_size_hard_2steps_hard_no_58
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
A
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "edgecolor": "black", "center": [2.9605947323337506e-16, 0.0], "size": [22.22020074526217, 65.93177331374169]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_58.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.8972026556024508, 0.29418970966334046, 0.44882550514848696]}, {"name": "triangle", "size": [25.442, 25.031], "center": [3.2853333333333334, 3.1101666666666667], "color": [0.8254680219164111, 0.9787479157847337, 0.6649664479842091]}], "medium": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06100000000001], "center": [-6.571000000000001, -6.220499999999999], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.031230003483582847, 0.6310233902195113, 0.20404491147195392]}], "hard": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06099999999999], "center": [-6.571000000000001, -6.220499999999998], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [45.044, 45.044], "center": [0.0, 0.0], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}, {"name": "square", "size": [22.522, 22.522], "center": [0.0, -2.220446049250313e-16], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.0, 0.0003333333333337407], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_58.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_58.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_58", "shape1_facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "shape2_facecolor": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426], "shape1_name": "triangle", "shape2_name": "triangle"}
|
|
2d_perception_shape_hard_3steps_hard_no_114
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 114, "shape_A": {"name": "pentagon", "facecolor": [0.32303095017618666, 0.05915689531820456, 0.12877352494042116], "edgecolor": "black", "center": [7.105427357601002e-16, -7.105427357601002e-16], "size": [55.09467455491277, 57.929969051192046]}, "shape_B": {"name": "triangle", "facecolor": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993], "edgecolor": "black", "center": [1.1842378929335002e-15, 0.0], "size": [57.152859715556694, 28.970007030727594]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_114.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_114.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_114.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_114.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_114.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_114.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_114.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [22.593, 24.982999999999997], "center": [-0.8414999999999999, -2.4871666666666665], "color": [0.3680908863446112, 0.6968375885227232, 0.5813660447879573]}, {"name": "triangle", "size": [45.187, 49.966], "center": [-30.0, -30.000333333333334], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}, {"name": "triangle", "size": [59.086, 34.5], "center": [3.5443333333333342, 1.761333333333333], "color": [0.3809716058210605, 0.608152936633627, 0.6600502477660397]}, {"name": "triangle", "size": [45.187, 49.966], "center": [-1.6835000000000002, -4.974333333333333], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}], "medium": [{"name": "triangle", "size": [59.086, 34.5], "center": [3.5443333333333342, 1.761333333333333], "color": [0.5591507719774257, 0.6242656286431405, 0.9420597490702097]}, {"name": "triangle", "size": [45.187, 49.966], "center": [-1.6835000000000002, -4.974333333333333], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}, {"name": "triangle", "size": [17.25, 29.543], "center": [-0.8806666666666665, 1.7725], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}, {"name": "triangle", "size": [45.187, 49.966], "center": [-30.0, -30.000333333333334], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}], "hard": [{"name": "triangle", "size": [68.612, 40.696000000000005], "center": [5.550333333333332, 4.535000000000004], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}, {"name": "triangle", "size": [45.187, 49.966], "center": [-30.0, -30.000333333333334], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}, {"name": "triangle", "size": [59.086, 34.5], "center": [3.5443333333333342, 1.761333333333333], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}, {"name": "triangle", "size": [45.187, 49.966], "center": [-1.6835000000000002, -4.974333333333333], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [56.664, 57.613], "center": [-1.2434497875801752e-15, 0.00020000000000095497], "color": [0.32303095017618666, 0.05915689531820456, 0.12877352494042116]}, {"name": "pentagon", "size": [57.613, 56.665000000000006], "center": [-0.0002000000000016655, 7.105427357601002e-16], "color": [0.32303095017618666, 0.05915689531820456, 0.12877352494042116]}, {"name": "pentagon", "size": [57.613, 56.665], "center": [-30.0002, -30.0], "color": [0.32303095017618666, 0.05915689531820456, 0.12877352494042116]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [59.086, 34.5], "center": [0.00033333333333196435, 0.0003333333333337407], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}, {"name": "triangle", "size": [45.187, 49.966], "center": [2.9605947323337506e-16, -0.0003333333333325565], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}, {"name": "triangle", "size": [45.187, 49.966], "center": [-30.0, -30.000333333333334], "color": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_114.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_114.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_114.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_114.png", "instructions": [["rotate", -30], ["rotate", -30], ["translate", [-30, -30]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>\n- Shift the triangle to the left by a significant amount and significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_114", "shape1_name": "triangle", "shape2_name": "circle"}
|
|
2d_perception_position_hard_3steps_hard_no_54
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
C
|
position
|
[
"above and to the right of the black dot",
"above and to the left of the black dot",
"below and to the left of the black dot",
"above the black dot"
] |
{"instance_id": 54, "shape_A": {"name": "hexagon", "facecolor": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783], "edgecolor": "black", "center": [-5.921189464667501e-16, -5.921189464667501e-16], "size": [65.08835027371116, 56.36816482745368]}, "shape_B": {"name": "triangle", "facecolor": [0.468926302758369, 0.9565237556255114, 0.577043455530469], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [53.811846882714654, 38.073984419741535]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [48.921, 48.075], "center": [-7.2364999999999995, -4.5005], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.92612450487395, 0.056903037694271075, 0.40592470627323407]}, {"name": "triangle", "size": [24.686000000000003, 18.127], "center": [-2.9609999999999985, -2.5845000000000002], "color": [0.43216771002148047, 0.41422289962451253, 0.9783586191430353]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}], "medium": [{"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [26.938777150078046, 38.074], "center": [-1.6280434475581653, -1.8749739834981034], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [29.787, 13.968000000000004], "center": [-0.9445000000000009, 1.5879999999999999], "color": [0.33014173880198083, 0.038942247601714164, 0.5828635028179421]}], "hard": [{"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [27.958207859023695, 38.07399999999999], "center": [3.9859321247721327, -4.567029127000203], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.81199999999999, 25.234875982004965], "center": [-1.7066542223415917, 2.868913449271469], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [65.088, 56.367999999999995], "center": [-9.999999999999998, -30.0], "color": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783]}, {"name": "hexagon", "size": [65.088, 56.367999999999995], "center": [-9.999999999999998, 30.0], "color": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783]}, {"name": "hexagon", "size": [65.088, 56.367999999999995], "center": [-9.999999999999998, -30.0], "color": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, 30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_54.png", "instructions": [["translate", [-10, -30]], ["flip", "horizontal"], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and significantly downward. <shapeB_step_0>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_54", "shape1_name": "triangle", "shape2_name": "triangle"}
|
|
2d_perception_size_hard_1steps_hard_no_54
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
B
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 54, "shape_A": {"name": "ellipse", "facecolor": [0.7611700183142153, 0.9139806085900468, 0.9122661949657326], "edgecolor": "black", "center": [4.4408920985006264e-17, -1.8318679906315082e-16], "size": [31.356916610856874, 21.478132020794455]}, "shape_B": {"name": "circle", "facecolor": [0.950315567533943, 0.3874025664685953, 0.09709140329031751], "edgecolor": "black", "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "size": [66.31023390219511, 66.31023390219511]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [91.414, 59.087999999999994], "center": [1.7763568394002506e-16, 3.730349362740526e-15], "color": [0.9101611922993733, 0.6112818315428236, 0.43618795925559617]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [71.811, 76.27], "center": [-2.4999999999053557e-05, -2.3980817331903383e-15], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, -1.1102230246251565e-16], "color": [0.4776867936322615, 0.3154263789388455, 0.42547020888416764]}], "medium": [{"name": "circle", "size": [60.902, 74.818], "center": [4.440892098500626e-16, 5.5067062021407766e-15], "color": [0.6333073300861608, 0.46331443261096983, 0.15705293734072656]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, -1.1102230246251565e-16], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [87.246, 59.892], "center": [9.999999999941168e-05, -0.0002250000000029173], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}], "hard": [{"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [94.78, 85.024], "center": [-2.4868995751603505e-15, -1.7763568394002506e-16], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [66.31, 66.31], "center": [0.0, -1.1102230246251565e-16], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}, {"name": "circle", "size": [74.876, 73.78], "center": [-3.552713678800501e-16, 3.1530333899354444e-15], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.356, 21.478], "center": [-4.4408920985006264e-17, 9.999999999999996], "color": [0.7611700183142153, 0.9139806085900468, 0.9122661949657326]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [66.31, 66.31], "center": [0.0, 9.999999999999998], "color": [0.950315567533943, 0.3874025664685953, 0.09709140329031751]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_54.png", "instructions": [["translate", [0, 10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "1steps_hard_no_54", "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_position_easy_2steps_easy_no_117
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
D
|
position
|
[
"above and to the left of the black dot",
"to the left of the black dot",
"below and to the left of the black dot",
"below and to the right of the black dot"
] |
{"instance_id": 117, "shape_A": {"name": "ellipse", "facecolor": [0.7218298009143069, 0.237713172425009, 0.5423320422772745], "edgecolor": "black", "center": [-2.220446049250313e-16, -1.3988810110276972e-15], "size": [32.0013952532714, 22.21799979044379]}, "shape_B": {"name": "hexagon", "facecolor": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.87508092385881, 53.58539194127964]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_117.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_117.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_117.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_117.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_117.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_117.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_117.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.9952458958033793, 0.43834090334037057, 0.0007170637618100217]}, {"name": "hexagon", "size": [53.586, 61.876000000000005], "center": [0.0, -5.921189464667501e-16], "color": [0.03433766741658173, 0.5310529134625389, 0.5349079969643663]}], "medium": [{"name": "hexagon", "size": [10.894293268075252, 26.792000000000005], "center": [-2.220446049250313e-16, -5.181040781584064e-16], "color": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "hard": [{"name": "hexagon", "size": [65.422, 82.538], "center": [3.7007434154171886e-16, -1.1842378929335002e-15], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.001999999999995, 22.218000000000004], "center": [30.00000000000001, -29.999999999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}, {"name": "ellipse", "size": [16.0, 11.109000000000002], "center": [30.00014999999999, -29.999774999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_117.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_117.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_117.png", "instructions": [["translate", [30, -30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "2steps_easy_no_117", "shape1_name": "hexagon", "shape2_name": "triangle"}
|
|
2d_perception_size_hard_1steps_hard_no_114
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
B
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 114, "shape_A": {"name": "circle", "facecolor": [0.7338018157348072, 0.8796868671924539, 0.526499216030505], "edgecolor": "black", "center": [-5.329070518200751e-16, -2.4646951146678474e-15], "size": [68.66200079176045, 68.66200079176045]}, "shape_B": {"name": "square", "facecolor": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.785988621204254, 34.785988621204254]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_114.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_114.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_114.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_114.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_114.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_114.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_114.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [34.786, 34.786], "center": [0.0, -10.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [23.759999999999998, 23.759999999999998], "center": [0.0, 0.0], "color": [0.595141796585856, 0.8044737747298943, 0.24935216297740692]}, {"name": "square", "size": [47.518, 47.518], "center": [0.0, 0.0], "color": [0.688476363185747, 0.4563908804672143, 0.988378524228168]}], "medium": [{"name": "square", "size": [47.518, 47.518], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [23.759999999999998, 23.759999999999998], "center": [0.0, 0.0], "color": [0.3693785175358285, 0.4429203558217317, 0.22524806823128363]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, -10.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}], "hard": [{"name": "square", "size": [34.786, 34.786], "center": [0.0, -10.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [47.518, 47.518], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [17.392, 17.392], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [68.662, 68.662], "center": [-1.7763568394002506e-16, -9.999999999999996], "color": [0.7338018157348072, 0.8796868671924539, 0.526499216030505]}], "tranformed_B_sequence_info": [{"name": "square", "size": [34.786, 34.786], "center": [0.0, -10.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_114.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_114.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_114.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_114.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "1steps_hard_no_114"}
|
|
2d_perception_size_hard_2steps_hard_no_38
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 38, "shape_A": {"name": "hexagon", "facecolor": [0.48469771433833664, 0.3141682789085136, 0.8832135016941292], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [62.48226469685952, 54.11122851346394]}, "shape_B": {"name": "pentagon", "facecolor": [0.2000583397160205, 0.810728592022073, 0.18819505689833826], "edgecolor": "black", "center": [-1.4210854715202005e-15, 7.105427357601002e-16], "size": [57.67154235991542, 60.63944820500811]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_38.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_38.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_38.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_38.png", "answer_choices": {"medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_38.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_38.png"}, "answer_choices_info": {"medium": [{"name": "pentagon", "size": [66.812, 73.19900000000001], "center": [-0.15879999999999866, -1.5152999999999999], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [28.836, 30.319999999999997], "center": [-1.5219999999999991, -3.552713678800501e-16], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [59.314, 60.307], "center": [-29.999999999999993, -30.0002], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [59.314, 60.307], "center": [2.0479999999999987, -1.0296999999999996], "color": [0.601812979235192, 0.16525728941573903, 0.4916822573555676]}], "hard": [{"name": "pentagon", "size": [28.836, 30.32], "center": [-1.5219999999999985, 3.552713678800501e-16], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [59.314, 60.307], "center": [2.0479999999999987, -1.0296999999999996], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [35.461, 40.931], "center": [1.7902999999999998, -0.7724999999999994], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [59.314, 60.307], "center": [-29.999999999999993, -30.0002], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.112, 62.482], "center": [0.0, 2.9605947323337506e-16], "color": [0.48469771433833664, 0.3141682789085136, 0.8832135016941292]}, {"name": "hexagon", "size": [54.111999999999995, 62.482], "center": [-29.999999999999996, -30.000000000000004], "color": [0.48469771433833664, 0.3141682789085136, 0.8832135016941292]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [59.314, 60.307], "center": [7.105427357601002e-16, -0.00020000000000024442], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [59.314, 60.307], "center": [-29.999999999999993, -30.0002], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}], "individual_answer_choices_path": {"medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_38.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_38.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_38.png", "instructions": [["rotate", 30], ["translate", [-30, -30]]], "correct_answer": {"medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_38"}
|
|
2d_perception_size_hard_2steps_hard_no_114
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
B
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 114, "shape_A": {"name": "rectangle", "facecolor": [0.16505748449207713, 0.9283558712255602, 0.6209840218807274], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.310466789397495, 21.97514752905294]}, "shape_B": {"name": "square", "facecolor": [0.761539869403118, 0.18724641137096631, 0.9828447735354139], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.18343150058638, 30.18343150058638]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_114.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_114.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_114.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_114.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_114.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_114.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_114.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [41.232, 41.232], "center": [0.0, -2.220446049250313e-16], "color": [0.7184028922003179, 0.3539648248166981, 0.3682140646104305]}, {"name": "square", "size": [15.091999999999999, 15.092], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [30.184, 30.184], "center": [0.0, 0.0], "color": [0.7055565777714605, 0.5332601585787259, 0.4231380154768355]}, {"name": "square", "size": [30.183999999999997, 30.184], "center": [-30.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}], "medium": [{"name": "square", "size": [30.183999999999997, 30.184], "center": [-30.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [15.091999999999999, 15.092], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [30.184, 30.184], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [41.232, 41.232], "center": [0.0, 0.0], "color": [0.6052441915317944, 0.7297632893372532, 0.5354854025198286]}], "hard": [{"name": "square", "size": [15.091999999999999, 15.092], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [30.183999999999997, 30.184], "center": [-30.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [30.184, 30.184], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [41.232, 41.232], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [21.976, 32.31], "center": [0.0, 0.0], "color": [0.16505748449207713, 0.9283558712255602, 0.6209840218807274]}, {"name": "rectangle", "size": [21.976, 32.31], "center": [-30.0, 0.0], "color": [0.16505748449207713, 0.9283558712255602, 0.6209840218807274]}], "tranformed_B_sequence_info": [{"name": "square", "size": [30.184, 30.184], "center": [0.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}, {"name": "square", "size": [30.183999999999997, 30.184], "center": [-30.0, 0.0], "color": [0.761539869403118, 0.18724641137096631, 0.9828447735354139]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_114.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_114.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_114.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_114.png", "instructions": [["rotate", -90], ["translate", [-30, 0]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the square to the left by a significant amount. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_114", "shape1_name": "square", "shape2_name": "square"}
|
|
2d_perception_size_medium_2steps_medium_no_29
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
A
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.06667766630173, 59.81349741400862]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_29.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.9695415308611851, 0.5831588581279402, 0.4883073409886549]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [79.582, 82.294], "center": [-8.881784197001252e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.534000000000006, 29.906], "center": [1.7763568394002505e-15, 0.0], "color": [0.24751042926734867, 0.10938599739355226, 0.8189264388188036]}], "medium": [{"name": "hexagon", "size": [81.794, 84.926], "center": [0.0, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.533, 29.908], "center": [0.00033333333333285253, 0.0], "color": [0.049902046109985276, 0.1377187844382094, 0.8787220961098785]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "hard": [{"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [29.906000000000002, 34.534], "center": [1.1842378929335002e-15, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.81399999999999, 51.80138702111024], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.736, 37.646], "center": [-3.3306690738754696e-16, 0.0], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}, {"name": "rectangle", "size": [37.646, 34.736], "center": [0.0, -3.3306690738754696e-16], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_29.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_29.png", "instructions": [["rotate", -60], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_29", "shape1_name": "hexagon", "shape2_name": "hexagon"}
|
|
2d_perception_position_easy_3steps_easy_no_12
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
D
|
position
|
[
"above and to the right of the black dot",
"above and to the left of the black dot",
"to the left of the black dot",
"below and to the left of the black dot"
] |
{"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767], "edgecolor": "black", "center": [-4.440892098500626e-16, 1.1102230246251565e-16], "size": [33.31177726263126, 24.216419750428884]}, "shape_B": {"name": "rectangle", "facecolor": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.9857626998606, 20.511560514843]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_12.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [18.978, 16.878], "center": [0.0, 0.0], "color": [0.38827492100545835, 0.03531900482642425, 0.7080689593758711]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.5720424340368412, 0.1899151604113507, 0.7265498765809035]}, {"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [8.881784197001252e-16, 0.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}], "medium": [{"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [18.978, 16.878], "center": [0.0, 0.0], "color": [0.86749775469823, 0.3816692198055871, 0.29835575381746327]}, {"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [8.881784197001252e-16, 0.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}], "hard": [{"name": "rectangle", "size": [20.512, 13.153946851747637], "center": [8.881784197001252e-16, -1.7763568394002505e-15], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [8.881784197001252e-16, 0.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.312, 24.216], "center": [-9.999999999999998, 9.999999999999996], "color": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767]}, {"name": "ellipse", "size": [24.216, 33.312], "center": [-10.000000000000004, 9.999999999999998], "color": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767]}, {"name": "ellipse", "size": [24.215999999999998, 33.312], "center": [-40.00000000000001, -19.999999999999996], "color": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [-10.0, 10.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [-10.0, 10.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_12.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_12.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_12.png", "instructions": [["translate", [-10, 10]], ["rotate", -90], ["translate", [-30, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly upward. <shapeB_step_0>\n- Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_1>\n- Shift the rectangle to the left by a significant amount and significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "3steps_easy_no_12", "shape1_name": "rectangle", "shape2_name": "rectangle"}
|
|
2d_perception_shape_medium_3steps_medium_no_77
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 77, "shape_A": {"name": "ellipse", "facecolor": [0.4014485780221052, 0.310955357635772, 0.7439741786648469], "edgecolor": "black", "center": [-7.993605777301127e-16, -8.326672684688674e-17], "size": [33.49433679884838, 20.525172859231922]}, "shape_B": {"name": "circle", "facecolor": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685], "edgecolor": "black", "center": [3.0198066269804257e-15, -1.84297022087776e-15], "size": [68.7229505557743, 68.7229505557743]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_77.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_77.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_77.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_77.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_77.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_77.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_77.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [34.361000000000004, 34.361000000000004], "center": [-0.0002750000000009578, 0.0004249999999998089], "color": [0.3547785407583631, 0.7152890012922809, 0.9777692910377371]}, {"name": "circle", "size": [80.316, 77.958], "center": [1.4210854715202005e-15, -5.773159728050814e-16], "color": [0.8841060916134182, 0.15558808118521872, 0.9876948218040671]}], "medium": [{"name": "circle", "size": [121.88, 137.198], "center": [4.7961634663806766e-15, 1.7763568394002506e-16], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.789342015931861, 0.3844517737810672, 0.6688896698014315]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [34.361000000000004, 34.36], "center": [-0.00047499999999986995, 1.4432899320127036e-16], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}], "hard": [{"name": "circle", "size": [103.713, 122.969], "center": [-0.00049999999999919, 0.0005250000000003752], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [34.361000000000004, 34.361], "center": [-0.00042500000000131875, -0.00037499999999814906], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [30.758, 24.412], "center": [-1.7763568394002506e-16, -1.3322676295501878e-16], "color": [0.4014485780221052, 0.310955357635772, 0.7439741786648469]}, {"name": "ellipse", "size": [30.758000000000003, 24.412], "center": [-9.999999999999998, -10.0], "color": [0.4014485780221052, 0.310955357635772, 0.7439741786648469]}, {"name": "ellipse", "size": [30.758000000000003, 24.412], "center": [9.999999999999998, -10.0], "color": [0.4014485780221052, 0.310955357635772, 0.7439741786648469]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [-10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_77.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_77.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_77.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_77.png", "instructions": [["rotate", -30], ["translate", [-10, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_77", "shape1_facecolor": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685], "shape2_facecolor": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685], "shape1_name": "circle", "shape2_name": "pentagon"}
|
|
2d_perception_size_medium_3steps_medium_no_37
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
A
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 37, "shape_A": {"name": "pentagon", "facecolor": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859], "edgecolor": "black", "center": [1.0658141036401502e-15, 7.105427357601002e-16], "size": [56.147136844620704, 59.03659339125525]}, "shape_B": {"name": "triangle", "facecolor": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525], "edgecolor": "black", "center": [-2.3684757858670005e-15, 1.1842378929335002e-15], "size": [62.90147225018034, 47.779774958766296]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_37.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [66.224, 44.321], "center": [-5.308, 1.0055000000000003], "color": [0.2898964801600078, 0.8281485010041434, 0.3904264100139835]}, {"name": "triangle", "size": [66.923, 30.399], "center": [-10.388500000000002, -0.4444999999999999], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [47.78, 62.902], "center": [1.1950000000000003, -6.080000000000001], "color": [0.5405380228975399, 0.022542478323140824, 0.82132780507667]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}], "medium": [{"name": "triangle", "size": [47.78, 62.902], "center": [1.1950000000000003, -6.080000000000001], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [15.199000000000002, 33.462], "center": [-0.2225000000000025, 5.194], "color": [0.9369268858238409, 0.984933929615118, 0.6532320009915383]}, {"name": "triangle", "size": [66.923, 30.399], "center": [-10.388500000000002, -0.4444999999999999], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}], "hard": [{"name": "triangle", "size": [66.923, 30.399], "center": [-10.388500000000002, -0.4444999999999999], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [47.78, 62.902], "center": [1.1950000000000003, -6.080000000000001], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [23.090906807414708, 30.399000000000004], "center": [0.5775143079711297, -2.938315474865662], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [57.746, 58.713], "center": [7.105427357601002e-16, 0.0], "color": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859]}, {"name": "pentagon", "size": [59.036, 56.147], "center": [7.105427357601002e-16, -0.00019999999999988915], "color": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859]}, {"name": "pentagon", "size": [57.746, 58.713], "center": [7.105427357601002e-16, 0.0], "color": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [47.78, 62.902], "center": [0.0, 0.0], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_37.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_37.png", "instructions": [["rotate", 30], ["rotate", 60], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_37", "shape1_name": "triangle", "shape2_name": "circle"}
|
|
2d_perception_position_easy_1steps_easy_no_89
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
C
|
position
|
[
"above and to the left of the black dot",
"below and to the right of the black dot",
"above and to the right of the black dot",
"to the right of the black dot"
] |
{"instance_id": 89, "shape_A": {"name": "ellipse", "facecolor": [0.8738797841960166, 0.3699373027970778, 0.8793839790525986], "edgecolor": "black", "center": [2.220446049250313e-16, 2.331468351712829e-16], "size": [31.42511382230244, 21.654669675704362]}, "shape_B": {"name": "pentagon", "facecolor": [0.8515258825455461, 0.7366607977956133, 0.8122339234606947], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [63.164295525139664, 66.41487066530658]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_89.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_89.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [31.582, 33.208], "center": [-1.667000000000001, 0.0], "color": [0.36401369114312054, 0.22099686669935337, 0.9016378822168126]}, {"name": "pentagon", "size": [63.163999999999994, 66.414], "center": [29.999999999999993, 10.000000000000002], "color": [0.8515258825455461, 0.7366607977956133, 0.8122339234606947]}, {"name": "pentagon", "size": [63.164, 66.414], "center": [-3.3339999999999974, 1.4210854715202005e-15], "color": [0.8515258825455461, 0.7366607977956133, 0.8122339234606947]}, {"name": "pentagon", "size": [92.154, 87.866], "center": [2.459800000000002, -1.2907999999999986], "color": [0.6589910301972501, 0.4885789462731246, 0.15403801448562826]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.426000000000002, 21.654000000000003], "center": [30.0, 9.999999999999996], "color": [0.8738797841960166, 0.3699373027970778, 0.8793839790525986]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [63.163999999999994, 66.414], "center": [29.999999999999993, 10.000000000000002], "color": [0.8515258825455461, 0.7366607977956133, 0.8122339234606947]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_89.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_89.png", "instructions": [["translate", [30, 10]]], "correct_answer": {"easy": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the right by a significant amount and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_89"}
|
|
2d_perception_size_hard_3steps_hard_no_38
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
B
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 38, "shape_A": {"name": "rectangle", "facecolor": [0.04577971988125684, 0.8017670960344266, 0.8732558095442269], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.69185071228617, 21.029304805954144]}, "shape_B": {"name": "pentagon", "facecolor": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974], "edgecolor": "black", "center": [-1.4210854715202005e-15, 0.0], "size": [58.28238344075455, 61.281724526523334]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_38.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_38.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_38.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_38.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_38.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_38.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_38.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_38.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_38.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [29.141000000000002, 30.64], "center": [-1.5383000000000009, 0.0], "color": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974]}, {"name": "pentagon", "size": [68.382, 54.069], "center": [1.3260000000000005, 2.4025], "color": [0.7249107570676483, 0.7879400561896058, 0.0358676759742923]}, {"name": "pentagon", "size": [59.943, 60.946], "center": [-29.999599999999997, 60.0], "color": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974]}, {"name": "pentagon", "size": [58.283, 61.282], "center": [-3.076500000000002, 0.0], "color": [0.23510524405793798, 0.440277409925372, 0.7641919810605271]}], "hard": [{"name": "pentagon", "size": [84.06, 76.89699999999999], "center": [2.3842000000000008, -0.2566999999999979], "color": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974]}, {"name": "pentagon", "size": [58.283, 61.282], "center": [-3.076500000000002, 0.0], "color": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974]}, {"name": "pentagon", "size": [29.141000000000002, 30.64], "center": [-1.5382999999999982, 0.0], "color": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974]}, {"name": "pentagon", "size": [59.943, 60.946], "center": [-29.999599999999997, 60.0], "color": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.69199999999999, 21.03], "center": [-30.0, 30.0], "color": [0.04577971988125684, 0.8017670960344266, 0.8732558095442269]}, {"name": "rectangle", "size": [34.69199999999999, 21.03], "center": [-30.0, 60.0], "color": [0.04577971988125684, 0.8017670960344266, 0.8732558095442269]}, {"name": "rectangle", "size": [40.56, 35.558], "center": [-30.0, 60.0], "color": [0.04577971988125684, 0.8017670960344266, 0.8732558095442269]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [58.283, 61.282], "center": [-30.0, 29.999999999999993], "color": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974]}, {"name": "pentagon", "size": [58.283, 61.282000000000004], "center": [-30.0, 60.0], "color": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974]}, {"name": "pentagon", "size": [59.943, 60.946], "center": [-29.999599999999997, 60.0], "color": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_38.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_38.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_38.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_38.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_38.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_38.png", "instructions": [["translate", [-30, 30]], ["translate", [0, 30]], ["rotate", -30]], "correct_answer": {"easy": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Shift the pentagon significantly upward. <shapeB_step_1>\n- Rotate the pentagon by 30 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_38", "shape1_name": "pentagon", "shape2_name": "pentagon"}
|
|
2d_perception_position_hard_2steps_hard_no_51
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
D
|
position
|
[
"to the left of the black dot",
"below the black dot",
"to the right of the black dot",
"below and to the right of the black dot"
] |
{"instance_id": 51, "shape_A": {"name": "circle", "facecolor": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901], "edgecolor": "black", "center": [0.0, 7.993605777301127e-16], "size": [63.11615786927266, 63.11615786927266]}, "shape_B": {"name": "ellipse", "facecolor": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509], "edgecolor": "black", "center": [9.325873406851315e-16, -4.274358644806853e-16], "size": [31.636633103351482, 22.941760952071057]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_51.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [22.941999999999997, 31.635999999999996], "center": [-6.217248937900876e-16, -1.1102230246251565e-15], "color": [0.4224821603504274, 0.7281976495822304, 0.22706922763976467]}, {"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [15.817999999999998, 11.470999999999997], "center": [0.0, 0.0003250000000029729], "color": [0.5960065390007009, 0.7527063322908609, 0.5552393854223482]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "medium": [{"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.9107189250917151, 0.8517868407321012, 0.8152855109911061]}, {"name": "ellipse", "size": [15.817999999999998, 11.471], "center": [-9.999999999967812e-05, 0.0003750000000009246], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [22.942, 31.636000000000003], "center": [-9.992007221626409e-17, 3.552713678800501e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "hard": [{"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [-3.552713678800501e-16, 6.217248937900876e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [22.941999999999997, 31.636000000000003], "center": [6.217248937900876e-16, -3.552713678800501e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [16.635778227335944, 22.942], "center": [-4.263256414560601e-15, 4.440892098500626e-16], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [63.116, 63.116], "center": [29.999999999999993, -29.999999999999993], "color": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901]}, {"name": "circle", "size": [63.11600000000001, 63.116], "center": [39.99999999999999, -29.999999999999993], "color": [0.8333279382523369, 0.14546018911077163, 0.2714985913009901]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [31.635999999999996, 22.941999999999997], "center": [30.000000000000007, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}, {"name": "ellipse", "size": [31.636, 22.941999999999997], "center": [40.0, -30.000000000000007], "color": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_51.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_51.png", "instructions": [["translate", [30, -30]], ["translate", [10, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_51", "shape1_facecolor": [0.2650264542245493, 0.4221851052080703, 0.6631679500520509], "shape2_facecolor": [0.8120701118411144, 0.5534081194790826, 0.663781427536076], "shape1_name": "ellipse", "shape2_name": "hexagon"}
|
|
2d_perception_size_hard_1steps_hard_no_119
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
C
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [62.38601511685521, 65.59653821613074]}, "shape_B": {"name": "rectangle", "facecolor": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.352761751473544, 20.069623533794292]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [16.176, 10.034000000000002], "center": [0.0, 1.7763568394002505e-15], "color": [0.7916012896307182, 0.8858480336699703, 0.325896016829761]}, {"name": "rectangle", "size": [38.054, 33.55800000000001], "center": [0.0, 8.881784197001252e-16], "color": [0.43717502926126484, 0.5517078489548533, 0.49083160755990596]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "medium": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [12.449925820609508, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [20.069999999999997, 32.352000000000004], "center": [-1.7763568394002505e-15, 0.0], "color": [0.8689337559539068, 0.9517460276412456, 0.7239486144303212]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "hard": [{"name": "rectangle", "size": [29.91, 43.944], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [48.376, 43.496], "center": [-3.885780586188048e-16, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [62.385999999999996, 65.596], "center": [-30.0, 0.0], "color": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_119.png", "instructions": [["translate", [-30, 0]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the left by a significant amount. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "1steps_hard_no_119", "shape1_name": "rectangle", "shape2_name": "rectangle"}
|
|
2d_perception_shape_hard_2steps_hard_no_48
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [-2.6645352591003756e-16, 3.108624468950438e-16], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.18136031751098, 31.18136031751098]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_48.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.2538962481737801, 0.810763463028352, 0.7749309576907558]}, {"name": "square", "size": [42.596000000000004, 42.596000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.9418983460930013, 0.5710437173591865, 0.2610379298436133]}, {"name": "square", "size": [21.296, 21.296], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "medium": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.594, 42.594], "center": [2.220446049250313e-16, 0.0], "color": [0.77922051345454, 0.7297668452697064, 0.5868795122897497]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [21.298, 21.298], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "hard": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.593999999999994, 42.593999999999994], "center": [8.881784197001252e-16, 8.881784197001252e-16], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [15.59, 15.590000000000003], "center": [0.0, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [30.0, -3.219646771412954e-16], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}, {"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [40.0, -10.0], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [30.000000000000004, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_48.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_48.png", "instructions": [["translate", [30, 0]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the right by a significant amount. <shapeB_step_0>\n- Shift the square a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_48", "shape1_name": "square", "shape2_name": "triangle"}
|
|
2d_perception_shape_medium_1steps_medium_no_21
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 21, "shape_A": {"name": "ellipse", "facecolor": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152], "edgecolor": "black", "center": [6.661338147750939e-16, -4.4408920985006264e-17], "size": [30.959257738577843, 23.389893584814573]}, "shape_B": {"name": "rectangle", "facecolor": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.139825876094516, 22.615399797592268]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_21.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_21.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_21.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.4665867276160025, 0.3614718431029983, 0.7590217146535565]}, {"name": "rectangle", "size": [51.846000000000004, 48.586], "center": [-4.440892098500626e-16, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [35.156, 38.275999999999996], "center": [2.220446049250313e-16, 0.0], "color": [0.8838024416656812, 0.22454820608321313, 0.27793303071254105]}], "medium": [{"name": "rectangle", "size": [35.156, 38.276], "center": [0.0, 0.0], "color": [0.6775644574745741, 0.559258051605546, 0.2949167702341773]}, {"name": "rectangle", "size": [45.964, 37.494], "center": [0.0, 8.881784197001252e-16], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}], "hard": [{"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [3.4622966962699824, 11.308], "center": [2.7755575615628914e-17, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [38.276, 35.156], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [15.48, 11.694], "center": [-1.9984014443252818e-16, 2.2204460492503132e-17], "color": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_21.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_21.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_21.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_21.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "1steps_medium_no_21", "shape1_name": "rectangle", "shape2_name": "triangle"}
|
|
2d_perception_shape_easy_1steps_easy_no_85
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 85, "shape_A": {"name": "triangle", "facecolor": [0.9040285740471566, 0.3453132671999223, 0.9530303472757722], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [53.1961517479365, 38.33117053960915]}, "shape_B": {"name": "rectangle", "facecolor": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.90548644315825, 21.67505696738293]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_85.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_85.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_85.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_85.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_85.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_85.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_85.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [21.676000000000002, 31.906000000000002], "center": [-8.881784197001252e-16, -1.7763568394002505e-15], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [31.906, 21.676], "center": [0.0, 0.0], "color": [0.23054815990551825, 0.9929094110270736, 0.12951847277170814]}, {"name": "rectangle", "size": [45.974, 36.566], "center": [0.0, 1.1102230246251565e-16], "color": [0.5327902134036759, 0.3549524001564982, 0.4002468374322419]}], "medium": [{"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [21.676, 31.906], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [29.584, 39.834], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [31.906, 21.676000000000002], "center": [0.0, -8.881784197001252e-16], "color": [0.22094841750882754, 0.45681420425779473, 0.9101784125506043]}], "hard": [{"name": "rectangle", "size": [31.904, 21.676000000000002], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [21.676, 31.906], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}, {"name": "rectangle", "size": [38.72, 38.45], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [26.598, 19.166], "center": [0.0, 0.0], "color": [0.9040285740471566, 0.3453132671999223, 0.9530303472757722]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.952, 10.838], "center": [0.0, 0.0], "color": [0.12500733766821515, 0.7431917070518435, 0.6633021827938799]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_85.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_85.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_85.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_85.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_85", "shape1_name": "rectangle", "shape2_name": "rectangle"}
|
|
2d_perception_position_medium_3steps_medium_no_50
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
A
|
position
|
[
"above and to the left of the black dot",
"below the black dot",
"above the black dot",
"below and to the left of the black dot"
] |
{"instance_id": 50, "shape_A": {"name": "rectangle", "facecolor": [0.2015859168333669, 0.6076185126325355, 0.3344857409281464], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.000713175526233, 22.85103487728918]}, "shape_B": {"name": "triangle", "facecolor": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987], "edgecolor": "black", "center": [0.0, 0.0], "size": [62.5912286934625, 35.32370268495342]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_50.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_50.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_50.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_50.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_50.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_50.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_50.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [62.590999999999994, 35.323], "center": [-8.059499999999998, -2.4654999999999974], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [41.676, 58.327999999999996], "center": [-30.000333333333334, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [35.32299999999999, 62.590999999999994], "center": [-2.465500000000001, 8.059499999999998], "color": [0.8526813986241812, 0.619276740029663, 0.8571659774423532]}, {"name": "triangle", "size": [12.448999999999998, 66.735], "center": [-1.1235, 10.778833333333333], "color": [0.9467871135043451, 0.9301594272256604, 0.3034465495128975]}], "medium": [{"name": "triangle", "size": [62.590999999999994, 35.323], "center": [-8.059499999999998, -2.4654999999999974], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [35.32299999999999, 62.590999999999994], "center": [-2.465500000000001, 8.059499999999998], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [41.676, 29.779391167192436], "center": [5.67607570977918, -2.2728596214511043], "color": [0.2974699271503365, 0.03499275370330879, 0.12007651703097011]}, {"name": "triangle", "size": [41.676, 58.327999999999996], "center": [-30.000333333333334, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}], "hard": [{"name": "triangle", "size": [35.32299999999999, 62.590999999999994], "center": [-2.465500000000001, 8.059499999999998], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [62.590999999999994, 35.323], "center": [-8.059499999999998, -2.4654999999999974], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [20.838, 29.164], "center": [-1.590333333333333, -3.972], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [41.676, 58.327999999999996], "center": [-30.000333333333334, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [31.0, 22.852], "center": [-30.0, 30.000000000000004], "color": [0.2015859168333669, 0.6076185126325355, 0.3344857409281464]}, {"name": "rectangle", "size": [22.852, 31.0], "center": [-30.0, 30.0], "color": [0.2015859168333669, 0.6076185126325355, 0.3344857409281464]}, {"name": "rectangle", "size": [38.272000000000006, 35.290000000000006], "center": [-30.0, 30.000000000000004], "color": [0.2015859168333669, 0.6076185126325355, 0.3344857409281464]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [62.590999999999994, 35.323], "center": [-30.0, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [35.323, 62.590999999999994], "center": [-30.0, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [41.676, 58.327999999999996], "center": [-30.000333333333334, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_50.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_50.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_50.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_50.png", "instructions": [["translate", [-30, 30]], ["rotate", -90], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_50", "shape1_name": "triangle", "shape2_name": "hexagon"}
|
|
2d_perception_size_medium_2steps_medium_no_81
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.91542727345086, 33.91542727345086]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_81.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_81.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_81.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.017269358477543406, 0.8951715436112537, 0.8881882715240285]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.9822023558670021, 0.3805353841932245, 0.6158594794070977]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [0.0, 6.661338147750939e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "medium": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.164, 23.164], "center": [1.1102230246251565e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.5512682171709632, 0.4558650631394707, 0.703459189841425]}], "hard": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [-8.881784197001252e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [39.654, 34.972], "center": [0.0, -5.551115123125783e-17], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}, {"name": "rectangle", "size": [39.654, 34.971999999999994], "center": [-10.0, 30.0], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}], "tranformed_B_sequence_info": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_81.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_81.png", "instructions": [["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_81", "shape1_facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "shape2_facecolor": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684], "shape1_name": "square", "shape2_name": "triangle"}
|
|
2d_perception_shape_medium_1steps_medium_no_28
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 28, "shape_A": {"name": "circle", "facecolor": [0.27978384553228375, 0.203554935098061, 0.13713148863185454], "edgecolor": "black", "center": [-1.3322676295501878e-15, -2.842170943040401e-15], "size": [62.79092482138978, 62.79092482138978]}, "shape_B": {"name": "hexagon", "facecolor": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.84426796882791, 53.55870713945721]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_28.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_28.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_28.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_28.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_28.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_28.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [53.558, 61.843999999999994], "center": [0.0, 1.1842378929335002e-15], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [30.922, 26.78], "center": [0.0, 0.0], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [71.464, 72.00200000000001], "center": [0.0, 4.144832625267251e-15], "color": [0.7354144882589632, 0.05711859321144741, 0.10921020473013932]}, {"name": "hexagon", "size": [61.843999999999994, 53.55800000000001], "center": [1.4802973661668755e-15, 0.0], "color": [0.43407601018057973, 0.4275491891996016, 0.7292261341852432]}], "medium": [{"name": "hexagon", "size": [53.558, 61.844], "center": [0.0, 2.9605947323337506e-16], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [61.843999999999994, 53.55800000000001], "center": [0.0, -1.1842378929335002e-15], "color": [0.45582117374849596, 0.7481882793634895, 0.1154169193884218]}, {"name": "hexagon", "size": [30.922, 26.78], "center": [0.0, 0.0], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}, {"name": "hexagon", "size": [82.82, 77.01], "center": [0.0, -1.1842378929335002e-15], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [31.396, 31.396], "center": [0.0, -1.4432899320127036e-16], "color": [0.27978384553228375, 0.203554935098061, 0.13713148863185454]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [30.922, 26.78], "center": [0.0, 0.0], "color": [0.49890749034527837, 0.03375618361159094, 0.27796733072579016]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_28.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_28.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_28.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_28.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "1steps_medium_no_28", "shape1_name": "hexagon", "shape2_name": "hexagon"}
|
|
2d_perception_size_medium_1steps_medium_no_51
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 51, "shape_A": {"name": "triangle", "facecolor": [0.12079316947230123, 0.5056663886228634, 0.15839492402795619], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.54358360134741, 61.698629912770784]}, "shape_B": {"name": "hexagon", "facecolor": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.66220641089646, 57.731164224158206]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_51.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.5660735231212004, 0.717354907212308, 0.6650040521533221]}, {"name": "hexagon", "size": [85.666, 62.816], "center": [0.0, -1.1842378929335002e-15], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [28.866, 33.332], "center": [0.0, 5.921189464667501e-16], "color": [0.3461061161772392, 0.990389530884869, 0.8580643366319441]}], "medium": [{"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.00631291035985071, 0.6690023862962075, 0.22911517960408212]}, {"name": "hexagon", "size": [57.732, 66.662], "center": [0.0, 5.921189464667501e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [41.424, 41.094], "center": [0.0, -8.881784197001252e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}], "hard": [{"name": "hexagon", "size": [49.99825723800666, 57.732], "center": [-1.1842378929335002e-15, 2.9605947323337506e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [57.732, 66.664], "center": [-5.921189464667501e-16, 0.00016666666666627825], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.543, 61.698], "center": [-30.0, -30.000000000000004], "color": [0.12079316947230123, 0.5056663886228634, 0.15839492402795619]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_51.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_51.png", "instructions": [["translate", [-30, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "1steps_medium_no_51", "shape1_name": "hexagon", "shape2_name": "hexagon"}
|
|
2d_perception_shape_easy_3steps_easy_no_54
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 54, "shape_A": {"name": "hexagon", "facecolor": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783], "edgecolor": "black", "center": [-5.921189464667501e-16, -5.921189464667501e-16], "size": [65.08835027371116, 56.36816482745368]}, "shape_B": {"name": "triangle", "facecolor": [0.468926302758369, 0.9565237556255114, 0.577043455530469], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [53.811846882714654, 38.073984419741535]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [48.921, 48.075], "center": [-7.2364999999999995, -4.5005], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.92612450487395, 0.056903037694271075, 0.40592470627323407]}, {"name": "triangle", "size": [24.686000000000003, 18.127], "center": [-2.9609999999999985, -2.5845000000000002], "color": [0.43216771002148047, 0.41422289962451253, 0.9783586191430353]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}], "medium": [{"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [26.938777150078046, 38.074], "center": [-1.6280434475581653, -1.8749739834981034], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [29.787, 13.968000000000004], "center": [-0.9445000000000009, 1.5879999999999999], "color": [0.33014173880198083, 0.038942247601714164, 0.5828635028179421]}], "hard": [{"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [27.958207859023695, 38.07399999999999], "center": [3.9859321247721327, -4.567029127000203], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.81199999999999, 25.234875982004965], "center": [-1.7066542223415917, 2.868913449271469], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [65.088, 56.367999999999995], "center": [-9.999999999999998, -30.0], "color": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783]}, {"name": "hexagon", "size": [65.088, 56.367999999999995], "center": [-9.999999999999998, 30.0], "color": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783]}, {"name": "hexagon", "size": [65.088, 56.367999999999995], "center": [-9.999999999999998, -30.0], "color": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, 30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_54.png", "instructions": [["translate", [-10, -30]], ["flip", "horizontal"], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and significantly downward. <shapeB_step_0>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "3steps_easy_no_54", "shape1_name": "triangle", "shape2_name": "triangle"}
|
|
2d_perception_color_easy_3steps_easy_no_110
|
Are these two shapes the same color or different colors?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
color
|
[
"Same color",
"Different colors"
] |
{"instance_id": 110, "shape_A": {"name": "ellipse", "facecolor": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274], "edgecolor": "black", "center": [8.881784197001252e-16, 1.6653345369377347e-17], "size": [31.56780986839368, 23.35485878254977]}, "shape_B": {"name": "triangle", "facecolor": [0.013654040070595674, 0.9041899829290092, 0.408800226313195], "edgecolor": "black", "center": [1.1842378929335002e-15, 0.0], "size": [57.272688268961865, 44.83118415230587]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_110.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_110.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_110.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_110.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_110.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_110.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_110.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [2.0944999999999965, -5.388000000000001], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [57.272000000000006, 44.831], "center": [5.387999999999998, 2.0945], "color": [0.411073268305854, 0.4702635053655241, 0.07364290352584102]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [9.746500000000005, -2.1071666666666666], "color": [0.41809666137676704, 0.3091681172361146, 0.93701782027891]}], "medium": [{"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [2.0944999999999965, -5.388000000000001], "color": [0.7659713265308546, 0.10777355396011701, 0.5637184549069518]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [9.746500000000005, -2.1071666666666666], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [57.272000000000006, 44.831], "center": [5.387999999999998, 2.0945], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}], "hard": [{"name": "triangle", "size": [63.949000000000005, 20.207], "center": [9.746500000000005, -2.1071666666666666], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [2.0944999999999965, -5.388000000000001], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [57.272000000000006, 44.831], "center": [5.387999999999998, 2.0945], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.567999999999998, 23.354], "center": [-30.0, -9.325873406851315e-16], "color": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274]}, {"name": "ellipse", "size": [23.354, 31.568], "center": [-30.0, -3.552713678800501e-16], "color": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274]}, {"name": "ellipse", "size": [29.659999999999997, 25.64], "center": [-30.000000000000007, -4.884981308350689e-16], "color": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [57.272, 44.831], "center": [-30.0, 0.0], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [-30.0, 0.0], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_110.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_110.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_110.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_110.png", "instructions": [["translate", [-30, 0]], ["rotate", -90], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount. <shapeB_step_0>\n- Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "3steps_easy_no_110", "shape1_facecolor": [0.013654040070595674, 0.9041899829290092, 0.408800226313195], "shape2_facecolor": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}
|
|
2d_perception_size_easy_1steps_easy_no_45
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
B
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.04229692560077969, 0.6105584026042313, 0.5018360319576993], "edgecolor": "black", "center": [-6.217248937900876e-16, -3.774758283725532e-16], "size": [32.95158577855741, 23.42577856482111]}, "shape_B": {"name": "hexagon", "facecolor": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.13665303696516, 59.00807245885795]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_45.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_45.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_45.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_45.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_45.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_45.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [0.0, 0.0], "color": [0.4798918781505368, 0.2661741245407, 0.23329888158229328]}, {"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [59.008, 68.136], "center": [0.0, 0.0], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [29.504, 34.068], "center": [0.0, 0.0], "color": [0.17419542195048254, 0.3223195406563111, 0.18301533319752972]}], "medium": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [0.0, 0.0], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [59.007999999999996, 68.136], "center": [-1.1842378929335002e-15, 0.0], "color": [0.5710876284752487, 0.4403535945156153, 0.5068479878738469]}, {"name": "hexagon", "size": [29.503999999999998, 34.068], "center": [0.0, 1.1842378929335002e-15], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}], "hard": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [0.0, 0.0], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [29.503999999999998, 34.068], "center": [0.0, -1.1842378929335002e-15], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [51.10285405659269, 59.007999999999996], "center": [-1.1842378929335002e-15, -2.0724163126336257e-15], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}, {"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.952, 23.426000000000002], "center": [-10.0, 10.0], "color": [0.04229692560077969, 0.6105584026042313, 0.5018360319576993]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [68.136, 59.007999999999996], "center": [-9.999999999999998, 9.999999999999998], "color": [0.8078319399777482, 0.2976288620128039, 0.8301309540713826]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_45.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_45.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_45.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_45.png", "instructions": [["translate", [-10, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_45", "shape1_name": "hexagon", "shape2_name": "square"}
|
|
2d_perception_size_hard_2steps_hard_no_89
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.580039808982136, 34.580039808982136]}, "shape_B": {"name": "rectangle", "facecolor": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.118784938666483, 23.606510574636424]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_89.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8178975822866777, 0.5881661976478377, 0.6351931009826685]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [18.944, 17.752], "center": [1.1102230246251565e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [37.702, 42.17], "center": [-8.881784197001252e-16, -1.3877787807814457e-16], "color": [0.6490534260394974, 0.6858670803730986, 0.7549091926683313]}], "medium": [{"name": "rectangle", "size": [37.885999999999996, 35.502], "center": [8.881784197001252e-16, 0.0], "color": [0.6467323782040696, 0.8861165257566785, 0.9508078565096065]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [15.06, 11.804], "center": [0.0, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}], "hard": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [35.502, 37.886], "center": [0.0, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [11.803999999999998, 15.06], "center": [-4.440892098500626e-16, -8.881784197001252e-16], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.58, 34.58], "center": [30.0, -10.0], "color": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379]}, {"name": "square", "size": [34.58, 34.58], "center": [40.0, 20.0], "color": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [30.0, -10.000000000000002], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_89.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_89.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_89.png", "instructions": [["translate", [30, -10]], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the rectangle a little to the right and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_89", "shape1_name": "rectangle", "shape2_name": "rectangle"}
|
|
2d_perception_size_hard_1steps_hard_no_48
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 48, "shape_A": {"name": "pentagon", "facecolor": [0.1253063881148132, 0.8897634443373729, 0.21780396001199154], "edgecolor": "black", "center": [-1.0658141036401502e-15, 0.0], "size": [58.41746665608559, 61.42375942457255]}, "shape_B": {"name": "square", "facecolor": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.24139023903668, 34.24139023903668]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_48.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [23.388, 23.388], "center": [-2.220446049250313e-16, 4.440892098500626e-16], "color": [0.31310360323715114, 0.1300078846428092, 0.39116299289200374]}, {"name": "square", "size": [46.774, 46.774], "center": [-2.220446049250313e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.28586906273490087, 0.4593785072657385, 0.2547711669189501]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "medium": [{"name": "square", "size": [46.774, 46.774], "center": [4.440892098500626e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.005618599334409224, 0.7643054273655655, 0.5410138633533258]}, {"name": "square", "size": [23.388, 23.387999999999998], "center": [0.0002499999999997504, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "hard": [{"name": "square", "size": [23.387999999999998, 23.387999999999998], "center": [0.0, 2.220446049250313e-16], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [46.775999999999996, 46.775999999999996], "center": [-8.881784197001252e-16, 0.0], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}, {"name": "square", "size": [34.242, 34.242000000000004], "center": [0.0, 1.7763568394002505e-15], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [58.417, 61.42400000000001], "center": [0.0, -10.000000000000002], "color": [0.1253063881148132, 0.8897634443373729, 0.21780396001199154]}], "tranformed_B_sequence_info": [{"name": "square", "size": [34.242, 34.242], "center": [0.0, -9.999999999999998], "color": [0.01304822149966145, 0.01922158448236777, 0.5711929606532541]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_48.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_48.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "1steps_hard_no_48", "shape1_name": "square", "shape2_name": "circle"}
|
|
2d_perception_shape_hard_2steps_hard_no_49
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 49, "shape_A": {"name": "pentagon", "facecolor": [0.44311457662910947, 0.7215474990307839, 0.08537359111921405], "edgecolor": "black", "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "size": [57.159828053232914, 60.10139994192919]}, "shape_B": {"name": "square", "facecolor": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.954063341855274, 32.954063341855274]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_49.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_49.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_49.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_49.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_49.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_49.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_49.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [22.508, 22.508], "center": [0.0, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [32.954, 32.954], "center": [0.0, 0.0], "color": [0.8930425330015984, 0.3082593278803408, 0.06488238551384207]}, {"name": "square", "size": [45.016000000000005, 45.016000000000005], "center": [-10.000000000000002, -30.000000000000004], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [45.016, 45.016], "center": [2.220446049250313e-16, 0.0], "color": [0.9142065552503801, 0.6398386839887024, 0.36856609898201464]}], "medium": [{"name": "square", "size": [32.954, 32.954], "center": [0.0, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [16.478, 16.478], "center": [0.0, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [45.016, 45.016], "center": [2.220446049250313e-16, 0.0], "color": [0.018980600178872264, 0.05758088812100004, 0.26600437911588204]}, {"name": "square", "size": [45.016000000000005, 45.016000000000005], "center": [-10.000000000000002, -30.000000000000004], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}], "hard": [{"name": "square", "size": [22.508000000000003, 22.508], "center": [-4.440892098500626e-16, 8.881784197001252e-16], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [45.016, 45.016], "center": [2.220446049250313e-16, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [32.954, 32.954], "center": [0.0, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [45.016000000000005, 45.016000000000005], "center": [-10.000000000000002, -30.000000000000004], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [59.772, 58.788], "center": [0.00020000000000024442, -7.105427357601002e-16], "color": [0.44311457662910947, 0.7215474990307839, 0.08537359111921405]}, {"name": "pentagon", "size": [59.772000000000006, 58.788], "center": [-9.9998, -30.0], "color": [0.44311457662910947, 0.7215474990307839, 0.08537359111921405]}], "tranformed_B_sequence_info": [{"name": "square", "size": [45.016, 45.016], "center": [2.220446049250313e-16, 0.0], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}, {"name": "square", "size": [45.016000000000005, 45.016000000000005], "center": [-10.000000000000002, -30.000000000000004], "color": [0.8463421093452137, 0.25935726569229856, 0.07494901037292401]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_49.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_49.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_49.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_49.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_49.png", "instructions": [["rotate", -60], ["translate", [-10, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_49", "shape1_name": "square", "shape2_name": "square"}
|
|
2d_perception_position_easy_3steps_easy_no_31
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
B
|
position
|
[
"above the black dot",
"below and to the right of the black dot",
"to the left of the black dot",
"above and to the right of the black dot"
] |
{"instance_id": 31, "shape_A": {"name": "pentagon", "facecolor": [0.2588346176103514, 0.8524750785554671, 0.296363686831703], "edgecolor": "black", "center": [3.552713678800501e-16, 0.0], "size": [55.47324738063669, 58.32802407656389]}, "shape_B": {"name": "circle", "facecolor": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887], "edgecolor": "black", "center": [-5.329070518200751e-16, 5.195843755245732e-15], "size": [62.68514652193717, 62.68514652193717]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_31.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_31.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_31.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_31.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_31.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_31.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_31.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [-1.2434497875801752e-15, 3.3750779948604757e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [34.366, 32.354], "center": [1.3766765505351941e-15, 8.659739592076221e-16], "color": [0.5508778036099597, 0.8168470296426481, 0.22063903752165304]}, {"name": "circle", "size": [11.16, 145.488], "center": [-1.9984014443252818e-16, -1.7763568394002505e-15], "color": [0.2687935024791853, 0.5816637995079208, 0.8077329610155621]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}], "medium": [{"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [-1.2434497875801752e-15, 3.3750779948604757e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [31.344, 31.343999999999998], "center": [1.1546319456101628e-15, -4.99999999985512e-05], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [35.96411561947614, 62.68600000000001], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.5423701683888696, 0.8182553599654876, 0.8527202137370091]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}], "hard": [{"name": "circle", "size": [86.15199999999999, 81.144], "center": [-2.1316282072803005e-15, 5.329070518200751e-16], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [-1.2434497875801752e-15, 3.3750779948604757e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [76.836, 69.11600000000001], "center": [8.881784197001252e-16, -4.440892098500626e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [55.473, 58.328], "center": [30.0002, -10.0], "color": [0.2588346176103514, 0.8524750785554671, 0.296363686831703]}, {"name": "pentagon", "size": [58.328, 55.473], "center": [30.0, -9.9998], "color": [0.2588346176103514, 0.8524750785554671, 0.296363686831703]}, {"name": "pentagon", "size": [58.328, 55.473], "center": [60.0, -9.9998], "color": [0.2588346176103514, 0.8524750785554671, 0.296363686831703]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [30.000000000000007, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [30.0, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_31.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_31.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_31.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_31.png", "instructions": [["translate", [30, -10]], ["rotate", 90], ["translate", [30, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle to the right by a significant amount. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "3steps_easy_no_31", "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_position_easy_2steps_easy_no_81
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
A
|
position
|
[
"above and to the left of the black dot",
"above and to the right of the black dot",
"below and to the right of the black dot",
"to the right of the black dot"
] |
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.91542727345086, 33.91542727345086]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_81.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_81.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_81.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.017269358477543406, 0.8951715436112537, 0.8881882715240285]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.9822023558670021, 0.3805353841932245, 0.6158594794070977]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [0.0, 6.661338147750939e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "medium": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.164, 23.164], "center": [1.1102230246251565e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.5512682171709632, 0.4558650631394707, 0.703459189841425]}], "hard": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [-8.881784197001252e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [39.654, 34.972], "center": [0.0, -5.551115123125783e-17], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}, {"name": "rectangle", "size": [39.654, 34.971999999999994], "center": [-10.0, 30.0], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}], "tranformed_B_sequence_info": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_81.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_81.png", "instructions": [["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "2steps_easy_no_81", "shape1_name": "square", "shape2_name": "square"}
|
|
2d_perception_position_hard_3steps_hard_no_89
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
B
|
position
|
[
"below the black dot",
"above and to the right of the black dot",
"below and to the left of the black dot",
"above and to the left of the black dot"
] |
{"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.68810527851148, 34.68810527851148]}, "shape_B": {"name": "rectangle", "facecolor": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.79145902423523, 20.92473276522844]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_89.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [20.924000000000003, 31.792], "center": [1.7763568394002505e-15, 0.0], "color": [0.7155420908178509, 0.6770152992067706, 0.700013872178118]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [31.792, 20.924000000000003], "center": [0.0, -1.7763568394002505e-15], "color": [0.3767828654216594, 0.18420586617057277, 0.340512032632328]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}], "medium": [{"name": "rectangle", "size": [31.792, 20.924000000000003], "center": [0.0, 1.7763568394002505e-15], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.9740349389534685, 0.42790819681582193, 0.42072017275913365]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [20.924, 31.792], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}], "hard": [{"name": "rectangle", "size": [38.886, 36.016], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [31.792, 20.924], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [17.344, 17.344], "center": [0.0, 0.0], "color": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665]}, {"name": "square", "size": [17.343999999999998, 17.344], "center": [30.0, 10.0], "color": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665]}, {"name": "square", "size": [23.691999999999997, 23.692], "center": [30.0, 10.0], "color": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_89.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_89.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_89.png", "instructions": [["scale", 0.5], ["translate", [30, 10]], ["rotate", -30]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Rotate the rectangle by 30 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_89", "shape1_name": "rectangle", "shape2_name": "rectangle"}
|
|
2d_perception_position_medium_2steps_medium_no_58
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
D
|
position
|
[
"above and to the right of the black dot",
"above and to the left of the black dot",
"below and to the left of the black dot",
"below the black dot"
] |
{"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "edgecolor": "black", "center": [2.9605947323337506e-16, 0.0], "size": [22.22020074526217, 65.93177331374169]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_58.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.8972026556024508, 0.29418970966334046, 0.44882550514848696]}, {"name": "triangle", "size": [25.442, 25.031], "center": [3.2853333333333334, 3.1101666666666667], "color": [0.8254680219164111, 0.9787479157847337, 0.6649664479842091]}], "medium": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06100000000001], "center": [-6.571000000000001, -6.220499999999999], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.031230003483582847, 0.6310233902195113, 0.20404491147195392]}], "hard": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06099999999999], "center": [-6.571000000000001, -6.220499999999998], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [45.044, 45.044], "center": [0.0, 0.0], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}, {"name": "square", "size": [22.522, 22.522], "center": [0.0, -2.220446049250313e-16], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.0, 0.0003333333333337407], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_58.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_58.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_58", "shape1_name": "triangle", "shape2_name": "circle"}
|
|
2d_perception_size_easy_1steps_easy_no_46
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
C
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.7147347733928225, 0.10796046430355977, 0.2133437952034949], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.510440837427673, 20.723222801915657]}, "shape_B": {"name": "circle", "facecolor": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783], "edgecolor": "black", "center": [-1.7763568394002506e-16, 4.662936703425658e-16], "size": [69.06429081828506, 69.06429081828506]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [83.06, 80.728], "center": [1.7763568394002506e-16, 7.993605777301127e-16], "color": [0.5459150181873522, 0.6164681662855144, 0.5384037540659804]}, {"name": "circle", "size": [34.532, 34.532], "center": [8.881784197001253e-17, -1.0103029524088924e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [91.243, 98.908], "center": [4.999999999393268e-05, 1.3322676295501878e-16], "color": [0.9191167234966132, 0.626590098265795, 0.9471849297361556]}], "medium": [{"name": "circle", "size": [34.532, 34.532], "center": [8.881784197001253e-17, -1.0103029524088924e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [122.804, 67.472], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [90.905, 88.128], "center": [2.5000000003672086e-05, 5.000000000370264e-05], "color": [0.4104603011161263, 0.32687448553128473, 0.4358039890388459]}], "hard": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [85.76, 125.992], "center": [-1.0880185641326535e-15, 0.0], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [78.176, 76.02], "center": [3.0198066269804257e-15, 7.549516567451064e-16], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}, {"name": "circle", "size": [16.14585625268586, 68.97], "center": [1.7763568394002506e-16, 4.884981308350689e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [37.65, 33.702], "center": [0.0, 0.0], "color": [0.7147347733928225, 0.10796046430355977, 0.2133437952034949]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.97, 68.97], "center": [7.105427357601002e-16, -2.842170943040401e-15], "color": [0.35774711267040016, 0.7554910554523451, 0.5996900621063783]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_46.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "A", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_46", "shape1_name": "circle", "shape2_name": "triangle"}
|
|
2d_perception_shape_hard_3steps_hard_no_87
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 87, "shape_A": {"name": "hexagon", "facecolor": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.91382467317439, 57.94907203134699]}, "shape_B": {"name": "circle", "facecolor": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694], "edgecolor": "black", "center": [2.7533531010703883e-15, -2.4202861936828413e-15], "size": [64.04244378456774, 64.04244378456774]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_87.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_87.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_87.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_87.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_87.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_87.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_87.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.205806663996015, 0.7401885652490465, 0.1406495208198204]}, {"name": "circle", "size": [64.042, 64.042], "center": [-69.99999999999999, -49.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.022, 32.022000000000006], "center": [-3.108624468950438e-16, -8.881784197001252e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [38.034, 68.912], "center": [1.2434497875801752e-15, 1.7763568394002506e-16], "color": [0.9831039299064597, 0.40179533827613945, 0.8928364533919749]}], "medium": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-69.99999999999999, -49.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 28.65294496254395], "center": [5.4178883601707636e-15, -4.4408920985006264e-17], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [39.052, 40.84], "center": [-6.217248937900876e-16, -4.9999999998728836e-05], "color": [0.2767279122909233, 0.5728484135132019, 0.6369762392721068]}], "hard": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [76.136, 82.458], "center": [-2.500000000091873e-05, -2.4999999999675283e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.022000000000006, 32.022], "center": [3.552713678800501e-16, 2.4424906541753446e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-69.99999999999999, -49.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [66.914, 57.95], "center": [-30.0, -30.0], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}, {"name": "hexagon", "size": [66.91399999999999, 57.949999999999996], "center": [-40.0, -39.99999999999999], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}, {"name": "hexagon", "size": [66.91399999999999, 57.949999999999996], "center": [-70.0, -50.0], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.042, 64.042], "center": [-30.000000000000007, -29.999999999999993], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-69.99999999999999, -49.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_87.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_87.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_87.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_87.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]], ["translate", [-30, -10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "3steps_hard_no_87", "shape1_name": "circle", "shape2_name": "triangle"}
|
|
2d_perception_size_hard_1steps_hard_no_76
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
B
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 76, "shape_A": {"name": "square", "facecolor": [0.9239165497842027, 0.38943014282667665, 0.053595960193037806], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.57135007835554, 32.57135007835554]}, "shape_B": {"name": "ellipse", "facecolor": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.27675647831893e-16], "size": [30.234393912277593, 23.699334694297654]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_76.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_76.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_76.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_76.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_76.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_76.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_76.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [10.000000000000004, 30.0], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [12.746, 14.354], "center": [-4.4408920985006264e-17, 0.0], "color": [0.8889679979081118, 0.9790224169656921, 0.9486874984808045]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [-8.881784197001252e-16, 1.5987211554602255e-15], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [41.712, 23.244], "center": [-6.217248937900876e-16, 6.217248937900876e-16], "color": [0.6653105263590766, 0.529225305653132, 0.49379022923312355]}], "medium": [{"name": "ellipse", "size": [30.202, 36.014], "center": [1.1546319456101628e-15, -1.7763568394002506e-16], "color": [0.30128478023256455, 0.5202361515046738, 0.760120615075782]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [10.000000000000004, 30.0], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [-8.881784197001252e-16, 1.5987211554602255e-15], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [15.116, 11.850000000000001], "center": [0.00025000000000030553, 0.0001500000000006718], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}], "hard": [{"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [-8.881784197001252e-16, 1.5987211554602255e-15], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [12.744, 14.355], "center": [4.4408920985006264e-17, 0.0003249999999999975], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [10.000000000000004, 30.0], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [18.576862018785558, 23.700000000000006], "center": [2.831068712794149e-16, 1.7763568394002506e-16], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.572, 32.572], "center": [10.0, 30.0], "color": [0.9239165497842027, 0.38943014282667665, 0.053595960193037806]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [10.000000000000004, 30.0], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_76.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_76.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_76.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_76.png", "instructions": [["translate", [10, 30]]], "correct_answer": {"easy": "A", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right and significantly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "1steps_hard_no_76", "shape1_name": "ellipse", "shape2_name": "ellipse"}
|
|
2d_perception_size_easy_2steps_easy_no_105
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
A
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 105, "shape_A": {"name": "circle", "facecolor": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.7097434579227411e-15], "size": [66.063639289599, 66.063639289599]}, "shape_B": {"name": "hexagon", "facecolor": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.71771346058608, 56.9132093354941]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_105.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_105.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_105.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_105.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_105.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_105.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_105.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 56.914], "center": [1.7763568394002505e-15, 0.0], "color": [0.9588480152231209, 0.10518122138953323, 0.3358515532821599]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.13413166029498458, 0.3856971748659048, 0.1294421693752802]}, {"name": "hexagon", "size": [56.912, 65.716], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "medium": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 58.91], "center": [5.921189464667501e-16, 5.921189464667501e-16], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, 1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.4511268333137989, 0.23875806759160678, 0.8633164017267867]}], "hard": [{"name": "hexagon", "size": [65.716, 56.912000000000006], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, -1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [33.032, 33.032], "center": [-8.881784197001253e-17, -9.43689570931383e-16], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}, {"name": "circle", "size": [33.032, 33.032], "center": [-29.99999999999999, -30.0], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_105.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_105.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_105.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_105.png", "instructions": [["scale", 0.5], ["translate", [-30, -30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "2steps_easy_no_105", "shape1_name": "hexagon", "shape2_name": "hexagon"}
|
|
2d_perception_size_easy_3steps_easy_no_106
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 106, "shape_A": {"name": "rectangle", "facecolor": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.429619278662187, 23.519356892684694]}, "shape_B": {"name": "triangle", "facecolor": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [54.674641152139, 47.17399099888111]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_106.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_106.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_106.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_106.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_106.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_106.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_106.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [57.838, 34.06], "center": [-7.145333333333333, 3.7330000000000005], "color": [0.7256439050117809, 0.02732138501468384, 0.21479456020780974]}, {"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.9931273083192043, 0.44973360199872137, 0.25827122940299563]}, {"name": "triangle", "size": [47.174, 54.675], "center": [-0.9969999999999999, -2.2105], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "medium": [{"name": "triangle", "size": [28.189, 60.638999999999996], "center": [-3.2585, 7.5615], "color": [0.99645079325002, 0.6025607020113347, 0.6440071041307395]}, {"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [7.916946189745872, 17.03], "center": [0.9149844159699209, -2.1236831357157384], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "hard": [{"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [10.028731975517825, 17.03], "center": [1.0991560911511462, 2.10389409500098], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [33.81999999999999, 50.825], "center": [-3.9420000000000015, 0.5744999999999996], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.214, 11.76], "center": [0.0, 0.0], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}, {"name": "rectangle", "size": [19.056, 17.792], "center": [-1.1102230246251565e-16, 0.0], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}, {"name": "rectangle", "size": [17.792, 19.056], "center": [0.0, 1.1102230246251565e-16], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [27.337, 23.587], "center": [0.00033333333333285253, 0.0], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [17.03, 28.919], "center": [-0.0003333333333332966, 0.0], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_106.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_106.png", "instructions": [["scale", 0.5], ["rotate", -30], ["rotate", -90]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "3steps_easy_no_106", "shape1_name": "triangle", "shape2_name": "hexagon"}
|
|
2d_perception_position_medium_2steps_medium_no_72
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
A
|
position
|
[
"below the black dot",
"to the right of the black dot",
"below and to the right of the black dot",
"to the left of the black dot"
] |
{"instance_id": 72, "shape_A": {"name": "square", "facecolor": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.987408871750798, 30.987408871750798]}, "shape_B": {"name": "ellipse", "facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202], "edgecolor": "black", "center": [-2.6645352591003756e-16, -9.93649607039515e-16], "size": [33.35649907947214, 22.428317324717842]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_72.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_72.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_72.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_72.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_72.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_72.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_72.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.9963587756109145, 0.30345511366585054, 0.4639304479137577]}, {"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [4.440892098500626e-16, 5.329070518200751e-16], "color": [0.6818451680946132, 0.9262228298753192, 0.816913366438626]}, {"name": "ellipse", "size": [25.528, 30.938], "center": [4.4408920985006264e-17, 7.549516567451064e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "medium": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.08240117073119624, 0.33551543368246395, 0.33149624654203025]}, {"name": "ellipse", "size": [18.506108475014543, 22.427999999999997], "center": [-4.440892098500626e-16, 2.842170943040401e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [15.47, 12.764], "center": [-3.108624468950438e-16, 3.3306690738754696e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "hard": [{"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [1.3322676295501878e-16, -1.021405182655144e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [18.504912217194565, 22.427999999999997], "center": [-6.661338147750939e-16, 4.440892098500626e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.988, 30.988], "center": [-10.0, -10.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}, {"name": "square", "size": [30.988, 30.988], "center": [0.0, -20.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-10.0, -10.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_72.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_72.png", "instructions": [["translate", [-10, -10]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the left and slightly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_72", "shape1_facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202], "shape2_facecolor": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181], "shape1_name": "ellipse", "shape2_name": "rectangle"}
|
|
2d_perception_size_medium_2steps_medium_no_21
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
C
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 21, "shape_A": {"name": "square", "facecolor": [0.9794869379377804, 0.8486162610031903, 0.7370783133705054], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.085687290472556, 32.085687290472556]}, "shape_B": {"name": "triangle", "facecolor": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [56.98186293168668, 50.154027781438785]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_21.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_21.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_21.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [65.316, 48.116], "center": [-5.2299999999999995, 2.0549999999999997], "color": [0.35704387483692057, 0.1586054651045411, 0.8279486884136622]}, {"name": "triangle", "size": [70.942, 63.361], "center": [-6.847000000000001, -5.161166666666671], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [25.076999999999998, 28.492], "center": [-3.8458333333333337, 3.188], "color": [0.047049336129883046, 0.018130595675012073, 0.880906106984675]}, {"name": "triangle", "size": [65.316, 48.116], "center": [-1.1842378929335002e-15, 10.0], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}], "medium": [{"name": "triangle", "size": [65.316, 48.116], "center": [-5.2299999999999995, 2.0549999999999997], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [54.666545280535956, 48.116], "center": [-6.116912230330581, 7.379436774733819], "color": [0.9266320984532515, 0.4378267064615107, 0.4571356398064427]}, {"name": "triangle", "size": [28.490000000000002, 25.076999999999998], "center": [-3.1880000000000006, -3.8461666666666665], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [65.316, 48.116], "center": [-1.1842378929335002e-15, 10.0], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}], "hard": [{"name": "triangle", "size": [65.316, 48.116], "center": [-1.1842378929335002e-15, 10.0], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [65.316, 48.116], "center": [-5.2299999999999995, 2.0549999999999997], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [28.491, 25.076], "center": [-3.1878333333333333, -3.846], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [54.66654528053594, 48.116], "center": [6.116912230330581, -7.3794367747338185], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [43.83, 43.83], "center": [0.0, 0.0], "color": [0.9794869379377804, 0.8486162610031903, 0.7370783133705054]}, {"name": "square", "size": [43.83, 43.83], "center": [0.0, 10.0], "color": [0.9794869379377804, 0.8486162610031903, 0.7370783133705054]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [65.316, 48.116], "center": [-1.1842378929335002e-15, 0.0], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}, {"name": "triangle", "size": [65.316, 48.116], "center": [-1.1842378929335002e-15, 10.0], "color": [0.48749651312589914, 0.48610096062239794, 0.5910392755613787]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_21.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_21.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_21.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_21.png", "instructions": [["rotate", 30], ["translate", [0, 10]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the triangle slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_21", "shape1_name": "triangle", "shape2_name": "triangle"}
|
|
2d_perception_shape_medium_2steps_medium_no_58
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "edgecolor": "black", "center": [2.9605947323337506e-16, 0.0], "size": [22.22020074526217, 65.93177331374169]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_58.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.8972026556024508, 0.29418970966334046, 0.44882550514848696]}, {"name": "triangle", "size": [25.442, 25.031], "center": [3.2853333333333334, 3.1101666666666667], "color": [0.8254680219164111, 0.9787479157847337, 0.6649664479842091]}], "medium": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06100000000001], "center": [-6.571000000000001, -6.220499999999999], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.031230003483582847, 0.6310233902195113, 0.20404491147195392]}], "hard": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06099999999999], "center": [-6.571000000000001, -6.220499999999998], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [45.044, 45.044], "center": [0.0, 0.0], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}, {"name": "square", "size": [22.522, 22.522], "center": [0.0, -2.220446049250313e-16], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.0, 0.0003333333333337407], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_58.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_58.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_58", "shape1_name": "triangle", "shape2_name": "circle"}
|
|
2d_perception_size_medium_2steps_medium_no_75
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 75, "shape_A": {"name": "ellipse", "facecolor": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156], "edgecolor": "black", "center": [-4.440892098500626e-16, -2.831068712794149e-16], "size": [32.94666450665948, 22.631616809247262]}, "shape_B": {"name": "triangle", "facecolor": [0.954358485726285, 0.20291821457172288, 0.057020052366765106], "edgecolor": "black", "center": [2.3684757858670005e-15, 2.9605947323337506e-16], "size": [45.21850340862652, 61.32156296152745]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_75.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [22.609, 30.660999999999998], "center": [0.7951666666666668, -1.2491666666666665], "color": [0.45799852793517837, 0.003745882748178664, 0.3474825986576122]}, {"name": "triangle", "size": [27.031, 66.797], "center": [2.1888333333333336, 7.418499999999999], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.7178077416143416, 0.07365014399221659, 0.828208758407564]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}], "medium": [{"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [33.398, 13.516], "center": [3.709, -1.0943333333333334], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [23.567396410018418, 58.238], "center": [1.9083682750223308, -6.467934233573364], "color": [0.48284594380435386, 0.5827123387789055, 0.5716571664062963]}], "hard": [{"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 26.67710182355163], "center": [5.697377794567121, 2.0920164840825577], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [61.322, 45.218], "center": [2.498333333333333, 1.5903333333333336], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.946, 22.631999999999998], "center": [-30.0, 10.000000000000004], "color": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156]}, {"name": "ellipse", "size": [25.540000000000003, 30.634], "center": [-29.99997499999999, 9.999999999999998], "color": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [45.219, 61.321], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_75.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_75.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, 10]], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_75", "shape1_name": "triangle", "shape2_name": "circle"}
|
|
2d_perception_size_easy_3steps_easy_no_14
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
B
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 14, "shape_A": {"name": "ellipse", "facecolor": [0.05660477429555666, 0.26697826944429437, 0.7855321925948217], "edgecolor": "black", "center": [-3.552713678800501e-16, 6.106226635438361e-17], "size": [32.809424916835184, 21.121536930740355]}, "shape_B": {"name": "pentagon", "facecolor": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [57.78802273444106, 60.76192291868695]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_14.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_14.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [57.788, 60.762], "center": [-3.0503999999999984, -7.105427357601002e-16], "color": [0.6826588517015352, 0.18697658153232366, 0.17379513185530515]}, {"name": "pentagon", "size": [60.762, 57.788], "center": [20.0, -0.0004000000000008441], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [28.894, 30.379999999999995], "center": [-1.5253999999999999, 1.4210854715202005e-15], "color": [0.5138468527745739, 0.3771982270526456, 0.42850781440073427]}, {"name": "pentagon", "size": [70.971, 70.50999999999999], "center": [-2.901699999999999, 0.09820000000000277], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}], "hard": [{"name": "pentagon", "size": [57.788, 60.762], "center": [-3.0503999999999984, -7.105427357601002e-16], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [60.762, 57.788], "center": [20.0, -0.0004000000000008441], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [30.380000000000003, 28.894000000000002], "center": [-3.552713678800501e-16, -1.5253999999999976], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [36.4, 88.46600000000001], "center": [-0.9680000000000002, -1.2799999999999998], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.81, 21.122], "center": [-10.000000000000002, 10.000000000000004], "color": [0.05660477429555666, 0.26697826944429437, 0.7855321925948217]}, {"name": "ellipse", "size": [32.81, 21.122], "center": [20.000000000000004, 1.8318679906315082e-16], "color": [0.05660477429555666, 0.26697826944429437, 0.7855321925948217]}, {"name": "ellipse", "size": [21.122, 32.81], "center": [19.999999999999996, 4.440892098500626e-16], "color": [0.05660477429555666, 0.26697826944429437, 0.7855321925948217]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [57.788, 60.762], "center": [-10.0004, 10.0], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [57.788000000000004, 60.762], "center": [19.9996, -7.105427357601002e-16], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [60.762, 57.788], "center": [20.0, -0.0004000000000008441], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_14.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_14.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_14.png", "instructions": [["translate", [-10, 10]], ["translate", [30, -10]], ["rotate", 90]], "correct_answer": {"easy": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon a little to the left and slightly upward. <shapeB_step_0>\n- Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_1>\n- Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "3steps_easy_no_14", "shape1_name": "pentagon", "shape2_name": "ellipse"}
|
|
2d_perception_shape_hard_2steps_hard_no_76
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
A
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 76, "shape_A": {"name": "pentagon", "facecolor": [0.8067596155554129, 0.7626401728174794, 0.3050755291508753], "edgecolor": "black", "center": [3.552713678800501e-16, 0.0], "size": [62.440194443658456, 65.65350573159901]}, "shape_B": {"name": "square", "facecolor": [0.1727610819391796, 0.38489471116072127, 0.710585656937022], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.80515545597529, 34.80515545597529]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_76.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_76.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_76.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_76.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_76.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_76.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_76.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [34.806, 34.806], "center": [0.0, 0.0], "color": [0.8561496304619378, 0.6613504584117136, 0.9268290724841781]}, {"name": "square", "size": [34.806, 34.806], "center": [0.0, -40.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [17.403000000000002, 17.404], "center": [-1.7763568394002505e-15, 0.0], "color": [0.6549141373264239, 0.9446999686133826, 0.6299810570480012]}, {"name": "square", "size": [47.544, 47.544], "center": [0.0, -8.881784197001252e-16], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}], "medium": [{"name": "square", "size": [47.544, 47.544], "center": [0.0, 0.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [23.772000000000002, 23.772], "center": [1.7763568394002505e-15, 0.0], "color": [0.5958807108913992, 0.5320116674090916, 0.40089303600401494]}, {"name": "square", "size": [34.806, 34.806], "center": [0.0, 0.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [34.806, 34.806], "center": [0.0, -40.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}], "hard": [{"name": "square", "size": [34.806, 34.806], "center": [0.0, -40.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [23.773, 23.772], "center": [0.00024999999999986144, 0.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [34.806, 34.806], "center": [0.0, 0.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [47.544, 47.544], "center": [8.881784197001252e-16, -8.881784197001252e-16], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [62.44, 65.654], "center": [7.105427357601002e-16, -30.0], "color": [0.8067596155554129, 0.7626401728174794, 0.3050755291508753]}, {"name": "pentagon", "size": [62.44, 65.654], "center": [7.105427357601002e-16, -40.0], "color": [0.8067596155554129, 0.7626401728174794, 0.3050755291508753]}], "tranformed_B_sequence_info": [{"name": "square", "size": [34.806, 34.806], "center": [0.0, -29.999999999999996], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}, {"name": "square", "size": [34.806, 34.806], "center": [0.0, -40.0], "color": [0.1727610819391796, 0.38489471116072127, 0.710585656937022]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_76.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_76.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_76.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_76.png", "instructions": [["translate", [0, -30]], ["translate", [0, -10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square significantly downward. <shapeB_step_0>\n- Shift the square slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "2steps_hard_no_76", "shape1_name": "square", "shape2_name": "square"}
|
|
2d_perception_size_hard_1steps_hard_no_11
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
A
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 11, "shape_A": {"name": "rectangle", "facecolor": [0.5776511530902706, 0.7741944842449918, 0.39812975179986976], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.17938309182564, 24.02184680443587]}, "shape_B": {"name": "circle", "facecolor": [0.55210494834027, 0.5575626751964372, 0.1787195978329551], "edgecolor": "black", "center": [-9.769962616701378e-16, -1.2878587085651815e-15], "size": [60.52052797084585, 60.52052797084585]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_11.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [49.251999999999995, 76.348], "center": [0.0, 2.1316282072803005e-15], "color": [0.5158136315528283, 0.2316709728180616, 0.16948289181310217]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.03606113314434878, 0.23925662528737723, 0.00028727185462340543]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [30.672, 31.632], "center": [3.9968028886505636e-16, 6.439293542825908e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "medium": [{"name": "circle", "size": [84.25399999999999, 78.56], "center": [-2.1316282072803005e-15, 2.220446049250313e-15], "color": [0.1827844526404001, 0.7461562580101736, 0.9302552633727152]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [35.214, 33.432], "center": [0.00010000000000047749, 2.4999999999497646e-05], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "hard": [{"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.52, 41.720668141681124], "center": [1.6875389974302379e-15, -1.4210854715202005e-15], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [3.552713678800501e-16, -6.217248937900876e-16], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}, {"name": "circle", "size": [35.61, 33.478], "center": [1.9539925233402757e-15, 1.5543122344752192e-15], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [33.18000000000001, 24.022], "center": [30.0, -9.999999999999998], "color": [0.5776511530902706, 0.7741944842449918, 0.39812975179986976]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [60.519999999999996, 60.519999999999996], "center": [29.999999999999993, -9.999999999999998], "color": [0.55210494834027, 0.5575626751964372, 0.1787195978329551]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_11.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_11.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_11.png", "instructions": [["translate", [30, -10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "1steps_hard_no_11", "shape1_name": "circle", "shape2_name": "circle"}
|
|
2d_perception_size_hard_1steps_hard_no_34
|
Which of the following shapes is the largest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
C
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 34, "shape_A": {"name": "square", "facecolor": [0.03803125644545802, 0.3880638493931169, 0.08360802950368373], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.254010830888145, 31.254010830888145]}, "shape_B": {"name": "hexagon", "facecolor": [0.9745076014769779, 0.768549212891097, 0.7249101573073962], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.46821289448482, 60.16123712212956]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_34.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [34.734, 30.08], "center": [5.921189464667501e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [69.468, 60.162000000000006], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.038430021282184645, 0.901519612251167, 0.6843166070704308]}, {"name": "hexagon", "size": [79.014, 52.524], "center": [-2.9605947323337506e-16, 0.0], "color": [0.005901607731084391, 0.003420953174767316, 0.0584175423808847]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}], "medium": [{"name": "hexagon", "size": [30.08, 34.734], "center": [0.0, 0.00033333333333344467], "color": [0.33150863537640063, 0.08994697267781104, 0.9315626464918535]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [69.468, 60.162000000000006], "center": [-1.1842378929335002e-15, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162000000000006, 52.102640697875295], "center": [-8.881784197001252e-16, 2.3684757858670005e-15], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}], "hard": [{"name": "hexagon", "size": [69.468, 60.162], "center": [1.1842378929335002e-15, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [72.942, 74.628], "center": [-8.881784197001252e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162000000000006, 52.10264069787529], "center": [-8.881784197001252e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [42.694, 42.694], "center": [0.0, 2.220446049250313e-16], "color": [0.03803125644545802, 0.3880638493931169, 0.08360802950368373]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_34.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_34.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_34.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "D", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "1steps_hard_no_34", "shape1_name": "hexagon", "shape2_name": "triangle"}
|
|
2d_perception_shape_hard_1steps_hard_no_62
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 62, "shape_A": {"name": "square", "facecolor": [0.8493065311177832, 0.443452568296118, 0.6997938528842318], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.809069097850557, 31.809069097850557]}, "shape_B": {"name": "triangle", "facecolor": [0.6572032419339301, 0.642241544386433, 0.6813821575526279], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [38.85714867700899, 65.23462242178138]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_62.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_62.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_62.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_62.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_62.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_62.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_62.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [65.234, 38.857], "center": [-1.841, 2.6808333333333336], "color": [0.3163584085101042, 0.27273271883220296, 0.7994532042329561]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [2.6808333333333345, 1.841], "color": [0.7084294320087983, 0.7965760362365115, 0.9784938128919398]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [21.43, 31.094], "center": [-0.22100000000000009, -1.9666666666666666], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}], "medium": [{"name": "triangle", "size": [38.857, 65.23400000000001], "center": [2.6808333333333345, 1.841], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [27.096000000000004, 26.928], "center": [-3.8106666666666675, 4.263333333333333], "color": [0.38802397038987735, 0.7604251194731125, 0.9657240405380021]}, {"name": "triangle", "size": [65.23400000000001, 38.857], "center": [1.841, -2.6808333333333336], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}], "hard": [{"name": "triangle", "size": [38.857, 23.145986847349548], "center": [1.0966020326823436, -1.5969527700278998], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [62.188, 42.86], "center": [-3.933, 0.44200000000000017], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [2.6808333333333345, 1.841], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.810000000000002, 31.810000000000002], "center": [30.0, 30.0], "color": [0.8493065311177832, 0.443452568296118, 0.6997938528842318]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_62.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_62.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_62.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_62.png", "instructions": [["translate", [30, 30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and significantly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "hard", "source_qid": "1steps_hard_no_62", "shape1_name": "triangle", "shape2_name": "hexagon"}
|
|
2d_perception_shape_easy_1steps_easy_no_0
|
Are these two objects of the same shape or different shapes?
<image_0> (Shape 1)
<image_1> (Shape 2)
|
B
|
shape
|
[
"Same shape",
"Different shapes"
] |
{"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [3.552713678800501e-16, 7.105427357601002e-16], "size": [59.73126308469467, 62.805166739594156]}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [3.552713678800501e-16, 4.662936703425658e-16], "size": [66.98139394988227, 66.98139394988227]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_0.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [66.982, 66.982], "center": [-3.552713678800501e-16, 3.552713678800501e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [91.986, 82.59800000000001], "center": [1.5099033134902129e-15, 0.0], "color": [0.8341104266407503, 0.1626540971560848, 0.3552707002275215]}, {"name": "circle", "size": [73.616, 80.694], "center": [2.042810365310288e-15, 2.6645352591003757e-15], "color": [0.6701751743776934, 0.7018203134585513, 0.6835476655366672]}], "medium": [{"name": "circle", "size": [59.658, 55.34], "center": [-7.105427357601002e-16, 0.0], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [78.344, 75.526], "center": [3.552713678800501e-16, -3.730349362740526e-15], "color": [0.9538159275210801, 0.8758529403781941, 0.26338905075109076]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [86.68, 83.364], "center": [1.865174681370263e-15, 1.865174681370263e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "hard": [{"name": "circle", "size": [44.414, 40.201], "center": [4.999999999970584e-05, 2.4999999997854518e-05], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.982, 66.982], "center": [3.552713678800501e-16, -3.819167204710538e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [82.856, 78.658], "center": [0.00032500000000217354, 2.886579864025407e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [0.00020000000000024442, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_0.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_0.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "easy", "source_qid": "1steps_easy_no_0", "shape1_name": "circle", "shape2_name": "triangle"}
|
|
2d_perception_size_medium_2steps_medium_no_102
|
Which of the following shapes is the smallest?
Compare these four shapes:
A. <image_0>
B. <image_1>
C. <image_2>
D. <image_3>
|
D
|
size
|
[
"A",
"B",
"C",
"D"
] |
{"instance_id": 102, "shape_A": {"name": "square", "facecolor": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.84968651398539, 31.84968651398539]}, "shape_B": {"name": "triangle", "facecolor": [0.858802885279082, 0.5077896100031754, 0.7118055904962444], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [60.62723258064484, 32.546004957385094]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_102.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_102.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_102.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_102.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [16.273000000000003, 30.313999999999997], "center": [-1.7348333333333332, 3.5060000000000016], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.7765232358157869, 0.43092578237318613, 0.26350739318181027]}, {"name": "triangle", "size": [48.529, 56.184], "center": [-5.280833333333333, -0.3200000000000001], "color": [0.22099686669935337, 0.9016378822168126, 0.9301292163785994]}], "medium": [{"name": "triangle", "size": [36.98594075805096, 32.54599999999999], "center": [-0.7585593751921778, 0.18780515753438684], "color": [0.622487038101449, 0.3362118742445869, 0.8307795328164884]}, {"name": "triangle", "size": [30.314, 16.273], "center": [-3.5060000000000002, -1.7348333333333354], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "hard": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [28.63949368641316, 32.546], "center": [0.1651683863674629, 0.6675229453784546], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [17.471746709332628, 32.546], "center": [-1.8626294219201884, 3.7642686636096685], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 10.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}, {"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 0.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 10.000333333333334], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_102.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_102.png", "instructions": [["translate", [30, 10]], ["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "2steps_medium_no_102", "shape1_name": "triangle", "shape2_name": "triangle"}
|
|
2d_perception_position_medium_3steps_medium_no_47
|
What is the relative position of the center of this shape to the black dot?
<image_0>
|
D
|
position
|
[
"below and to the left of the black dot",
"to the right of the black dot",
"below and to the right of the black dot",
"to the left of the black dot"
] |
{"instance_id": 47, "shape_A": {"name": "rectangle", "facecolor": [0.5680786562216632, 0.3748360191237824, 0.06938923117303619], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.07180737029744, 22.22553223484537]}, "shape_B": {"name": "circle", "facecolor": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697], "edgecolor": "black", "center": [-1.2434497875801752e-15, 7.549516567451064e-16], "size": [67.71983609925896, 67.71983609925896]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_47.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_47.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_47.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_47.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_47.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_47.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_47.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [84.217, 90.982], "center": [-0.00045000000000445796, -2.499999999940883e-05], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [67.72, 67.72], "center": [1.0658141036401502e-15, 1.865174681370263e-15], "color": [0.9823456326210844, 0.4804233969070565, 0.8436013676946466]}, {"name": "circle", "size": [34.62, 33.86], "center": [4.999999999943938e-05, 2.5000000000330314e-05], "color": [0.79405395987842, 0.041590387808690954, 0.0586241850004382]}, {"name": "circle", "size": [67.72, 67.72], "center": [-20.0, -1.9317880628477722e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}], "medium": [{"name": "circle", "size": [33.86, 34.699], "center": [0.0003750000000005471, 0.00012500000000106314], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [78.24, 71.56], "center": [-1.7763568394002506e-16, 4.440892098500626e-16], "color": [0.04179934930802698, 0.767126608260931, 0.12888824688615663]}, {"name": "circle", "size": [67.72, 67.72], "center": [-20.0, -1.9317880628477722e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [67.72, 67.72], "center": [1.0658141036401502e-15, 1.865174681370263e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}], "hard": [{"name": "circle", "size": [67.72, 67.72], "center": [1.0658141036401502e-15, 1.865174681370263e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [81.828, 75.095], "center": [2.6645352591003757e-15, 0.0001750000000003471], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [67.72, 67.72], "center": [-20.0, -1.9317880628477722e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [31.694, 44.256], "center": [-4.440892098500626e-16, 5.329070518200751e-16], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.072, 22.226], "center": [-30.0, 30.0], "color": [0.5680786562216632, 0.3748360191237824, 0.06938923117303619]}, {"name": "rectangle", "size": [34.072, 22.226], "center": [-30.0, -30.0], "color": [0.5680786562216632, 0.3748360191237824, 0.06938923117303619]}, {"name": "rectangle", "size": [34.072, 22.226], "center": [-20.0, 0.0], "color": [0.5680786562216632, 0.3748360191237824, 0.06938923117303619]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.72, 67.72], "center": [-29.999999999999993, 29.99999999999999], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [67.72, 67.72], "center": [-29.999999999999993, -29.99999999999999], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [67.72, 67.72], "center": [-20.0, -1.9317880628477722e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_47.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_47.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_47.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_47.png", "instructions": [["translate", [-30, 30]], ["flip", "horizontal"], ["translate", [10, 30]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Shift the circle a little to the right and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n ", "source_difficulty": "medium", "source_qid": "3steps_medium_no_47", "shape1_name": "circle", "shape2_name": "circle"}
|
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