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VisSim
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2d_text_instruct_test_v2

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41
3steps_hard_no_54
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the left and significantly downward. <shapeB_step_0> - Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1> - Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-10, -30]], ['flip', 'horizontal'], ['flip', 'horizontal']]
hard
{"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 "}
{"easy": "D", "medium": "A", "hard": "B"}
3steps_hard_no_114
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_0> - Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1> - Shift the triangle to the left by a significant amount and significantly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['rotate', -30], ['rotate', -30], ['translate', [-30, -30]]]
hard
{"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 "}
{"easy": "B", "medium": "D", "hard": "B"}
3steps_hard_no_46
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the left. <shapeB_step_0> - Shift the triangle a little to the left and significantly upward. <shapeB_step_1> - Reduce the size of the triangle, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [-10, 0]], ['translate', [-10, 30]], ['scale', 0.5]]
hard
{"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 "}
{"easy": "B", "medium": "B", "hard": "C"}
3steps_hard_no_63
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Reduce the size of the ellipse, making it smaller. <shapeB_step_0> - Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5], ['rotate', 90], ['translate', [-30, 30]]]
hard
{"instance_id": 63, "shape_A": {"name": "pentagon", "facecolor": [0.39633902490542516, 0.47417063642409796, 0.28660573448381255], "edgecolor": "black", "center": [1.0658141036401502e-15, 7.105427357601002e-16], "size": [58.13726083360433, 61.1291335872219]}, "shape_B": {"name": "ellipse", "facecolor": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546], "edgecolor": "black", "center": [-4.440892098500626e-16, -1.9984014443252818e-16], "size": [34.583948838339225, 24.777557527999]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_63.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_63.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_63.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_63.png", "answer_choices": {"medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_63.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_63.png"}, "answer_choices_info": {"medium": [{"name": "ellipse", "size": [24.778000000000002, 34.584], "center": [-8.881784197001253e-17, 1.7763568394002506e-16], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [32.31399999999999, 27.524], "center": [7.105427357601002e-16, 1.8207657603852566e-15], "color": [0.7040796566063423, 0.8918091207229907, 0.9425961466490883]}, {"name": "ellipse", "size": [12.388000000000002, 17.292], "center": [-30.0, 30.0], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [17.292, 12.388], "center": [4.4408920985006264e-17, -3.053113317719181e-17], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}], "hard": [{"name": "ellipse", "size": [47.258, 15.93], "center": [8.881784197001252e-16, -3.774758283725532e-16], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [17.292, 12.388], "center": [4.4408920985006264e-17, -3.053113317719181e-17], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [7.626, 22.158], "center": [2.3037127760972e-16, 1.7763568394002506e-16], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [12.388000000000002, 17.292], "center": [-30.0, 30.0], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [29.069, 30.564], "center": [0.0002000000000000668, 0.0], "color": [0.39633902490542516, 0.47417063642409796, 0.28660573448381255]}, {"name": "pentagon", "size": [30.564, 29.069], "center": [0.0, 0.0002000000000000668], "color": [0.39633902490542516, 0.47417063642409796, 0.28660573448381255]}, {"name": "pentagon", "size": [30.563999999999997, 29.069000000000003], "center": [-30.0, 30.0002], "color": [0.39633902490542516, 0.47417063642409796, 0.28660573448381255]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [17.292, 12.388], "center": [4.4408920985006264e-17, -3.053113317719181e-17], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [12.388, 17.292], "center": [3.053113317719181e-17, 4.4408920985006264e-17], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [12.388000000000002, 17.292], "center": [-30.0, 30.0], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}], "individual_answer_choices_path": {"medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_63.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_63.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_63.png", "instructions": [["scale", 0.5], ["rotate", 90], ["translate", [-30, 30]]], "correct_answer": {"medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the ellipse, making it smaller. <shapeB_step_0>\n- Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse to the left by a significant amount 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 "}
{"medium": "C", "hard": "D"}
3steps_hard_no_96
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the right and slightly upward. <shapeB_step_0> - Shift the circle a little to the left and significantly downward. <shapeB_step_1> - Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [10, 10]], ['translate', [-10, -30]], ['rotate', -60]]
hard
{"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 "}
{"easy": "B", "medium": "D", "hard": "D"}
3steps_hard_no_14
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon a little to the left and slightly upward. <shapeB_step_0> - Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_1> - Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-10, 10]], ['translate', [30, -10]], ['rotate', 90]]
hard
{"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 "}
{"easy": "B", "hard": "B"}
3steps_hard_no_20
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0> - Shift the triangle slightly upward. <shapeB_step_1> - Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [-30, 30]], ['translate', [0, 10]], ['flip', 'vertical']]
hard
{"instance_id": 20, "shape_A": {"name": "hexagon", "facecolor": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.929161743287075, 52.76620190097756]}, "shape_B": {"name": "triangle", "facecolor": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406], "edgecolor": "black", "center": [0.0, 2.3684757858670005e-15], "size": [49.66386023324553, 59.424434075239596]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_20.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_20.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_20.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_20.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_20.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_20.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_20.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [49.664, 59.42400000000001], "center": [-5.446000000000001, 5.806999999999998], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [24.831999999999997, 29.713], "center": [-2.7229999999999976, 2.9034999999999993], "color": [0.47865208582015095, 0.8457662624925489, 0.28225736892179776]}, {"name": "triangle", "size": [33.289, 23.608], "center": [-0.6298333333333339, 1.2699999999999998], "color": [0.3486154422494786, 0.5746782580568939, 0.507949665955694]}, {"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}], "medium": [{"name": "triangle", "size": [26.305, 28.778], "center": [-2.3495, 1.2380000000000007], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.42400000000001], "center": [-5.446000000000001, 5.806999999999998], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [65.65, 41.8], "center": [-7.628, 0.4850000000000004], "color": [0.8872615365741244, 0.9032560047133901, 0.6361328200238896]}], "hard": [{"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 35.22215011190051], "center": [0.9397894568194213, -1.8951198161527252], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.42400000000001], "center": [-5.446000000000001, 5.806999999999998], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [41.801, 65.651], "center": [-0.48550000000000004, -7.6285], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [60.93000000000001, 52.766000000000005], "center": [-30.0, 30.0], "color": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394]}, {"name": "hexagon", "size": [60.93000000000001, 52.76599999999999], "center": [-30.0, 39.99999999999999], "color": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394]}, {"name": "hexagon", "size": [60.93000000000001, 52.76599999999999], "center": [30.0, 39.99999999999999], "color": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [49.664, 59.424], "center": [-30.0, 30.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.424], "center": [-30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_20.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_20.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_20.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_20.png", "instructions": [["translate", [-30, 30]], ["translate", [0, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "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- Shift the triangle slightly upward. <shapeB_step_1>\n- Flip the triangle 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 "}
{"easy": "D", "medium": "C", "hard": "A"}
3steps_hard_no_87
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0> - Shift the circle a little to the left and slightly downward. <shapeB_step_1> - Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, -30]], ['translate', [-10, -10]], ['translate', [-30, -10]]]
hard
{"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 "}
{"easy": "B", "medium": "B", "hard": "D"}
3steps_hard_no_116
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> - Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the rectangle a little to the left and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5], ['rotate', 30], ['translate', [-10, 30]]]
hard
{"instance_id": 116, "shape_A": {"name": "ellipse", "facecolor": [0.14983581719146077, 0.22054649121071468, 0.522659341815168], "edgecolor": "black", "center": [1.3766765505351941e-15, -1.6375789613221059e-15], "size": [31.158770268227133, 21.83825253166706]}, "shape_B": {"name": "rectangle", "facecolor": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.361434348036404, 21.038296870536314]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_116.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_116.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_116.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_116.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_116.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [21.038, 34.362], "center": [0.0, 0.0], "color": [0.4738612012040019, 0.46339808429722595, 0.015595731817389602]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [34.362, 21.038], "center": [0.0, 0.0], "color": [0.561972918152885, 0.18881943726245376, 0.745505124041497]}, {"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}], "medium": [{"name": "rectangle", "size": [21.037999999999997, 34.361999999999995], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [35.4, 40.276], "center": [0.0, 0.0], "color": [0.9672290981708529, 0.1122459874667675, 0.9668435672686875]}, {"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}], "hard": [{"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [7.492684491978611, 17.700000000000003], "center": [0.0, 1.3877787807814457e-16], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [40.278, 35.4], "center": [0.0, -8.881784197001252e-16], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [15.58, 10.92], "center": [-8.881784197001253e-17, 3.053113317719181e-17], "color": [0.14983581719146077, 0.22054649121071468, 0.522659341815168]}, {"name": "ellipse", "size": [14.518, 12.228], "center": [-2.6645352591003756e-16, 5.884182030513329e-16], "color": [0.14983581719146077, 0.22054649121071468, 0.522659341815168]}, {"name": "ellipse", "size": [14.518, 12.227999999999998], "center": [-10.000000000000002, 30.000000000000007], "color": [0.14983581719146077, 0.22054649121071468, 0.522659341815168]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.138, 17.7], "center": [0.0, 5.551115123125783e-17], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_116.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_116.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_116.png", "instructions": [["scale", 0.5], ["rotate", 30], ["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 - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the rectangle a little to the left 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 "}
{"easy": "B", "medium": "B", "hard": "D"}
3steps_hard_no_76
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <shapeB_step_0> - Increase the size of the hexagon, making it larger. <shapeB_step_1> - Shift the hexagon a little to the right and slightly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5], ['scale', 2.0], ['translate', [10, 10]]]
hard
{"instance_id": 76, "shape_A": {"name": "triangle", "facecolor": [0.025153213047019563, 0.6220392293342395, 0.3328962939724164], "edgecolor": "black", "center": [0.0, 0.0], "size": [55.02261905437225, 28.051483041394924]}, "shape_B": {"name": "hexagon", "facecolor": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.49453251655318, 58.451979775889896]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_76.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_76.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_76.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_76.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_76.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_76.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_76.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [67.494, 58.452], "center": [9.999999999999998, 10.0], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}, {"name": "hexagon", "size": [67.494, 58.452], "center": [0.0, 0.0], "color": [0.12555407162974386, 0.3132070069320083, 0.2718752310551332]}, {"name": "hexagon", "size": [33.748, 29.226], "center": [5.921189464667501e-16, 0.0], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}, {"name": "hexagon", "size": [58.452, 67.494], "center": [0.0, 0.0], "color": [0.5656253060949789, 0.9934217207233397, 0.9735543142674448]}], "medium": [{"name": "hexagon", "size": [67.494, 58.452], "center": [0.0, 0.0], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}, {"name": "hexagon", "size": [50.61983382718976, 58.452], "center": [0.0, 0.0], "color": [0.1636269491681248, 0.256777909210563, 0.785654717475679]}, {"name": "hexagon", "size": [67.494, 58.452], "center": [9.999999999999998, 10.0], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}, {"name": "hexagon", "size": [33.748, 29.226], "center": [5.921189464667501e-16, 0.0], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}], "hard": [{"name": "hexagon", "size": [67.494, 58.452], "center": [0.0, 0.0], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}, {"name": "hexagon", "size": [50.621333807449545, 58.45199999999999], "center": [0.0, -5.921189464667501e-16], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}, {"name": "hexagon", "size": [33.748, 29.226], "center": [5.921189464667501e-16, 0.0], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}, {"name": "hexagon", "size": [67.494, 58.452], "center": [9.999999999999998, 10.0], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [27.511, 14.025], "center": [5.921189464667501e-16, 0.0], "color": [0.025153213047019563, 0.6220392293342395, 0.3328962939724164]}, {"name": "triangle", "size": [55.022, 28.051000000000002], "center": [1.1842378929335002e-15, -0.0003333333333331486], "color": [0.025153213047019563, 0.6220392293342395, 0.3328962939724164]}, {"name": "triangle", "size": [55.022, 28.051000000000002], "center": [10.000000000000002, 9.999666666666666], "color": [0.025153213047019563, 0.6220392293342395, 0.3328962939724164]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [33.748, 29.226], "center": [5.921189464667501e-16, 0.0], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}, {"name": "hexagon", "size": [67.494, 58.452], "center": [0.0, 0.0], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}, {"name": "hexagon", "size": [67.494, 58.452], "center": [9.999999999999998, 10.0], "color": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_76.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_76.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_76.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_76.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "C", "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- Increase the size of the hexagon, making it larger. <shapeB_step_1>\n- Shift the hexagon a little to the right 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 "}
{"easy": "A", "medium": "C", "hard": "D"}
3steps_hard_no_8
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse slightly upward. <shapeB_step_0> - Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the ellipse a little to the right and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [0, 10]], ['rotate', 30], ['translate', [10, 30]]]
hard
{"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 "}
{"easy": "B", "medium": "A", "hard": "A"}
3steps_hard_no_32
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0> - Rotate the rectangle by 60 degrees clockwise around its center. <shapeB_step_1> - Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['rotate', 60], ['rotate', -60], ['translate', [30, -10]]]
hard
{"instance_id": 32, "shape_A": {"name": "square", "facecolor": [0.8310679928489868, 0.4164948698112161, 0.7654177038552202], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.118103827532515, 32.118103827532515]}, "shape_B": {"name": "rectangle", "facecolor": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.74120981529268, 22.27148255535051]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_32.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_32.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_32.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_32.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_32.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_32.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_32.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [17.37, 11.136], "center": [0.0, 0.0], "color": [0.3131896604053672, 0.6418908343099048, 0.8272536797856543]}, {"name": "rectangle", "size": [34.742, 22.272], "center": [0.0, -4.440892098500626e-16], "color": [0.16482435952627394, 0.8033392606040696, 0.646647195698484]}, {"name": "rectangle", "size": [36.658, 41.222], "center": [0.0, 0.0], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}, {"name": "rectangle", "size": [34.742000000000004, 22.272], "center": [30.000000000000004, -10.0], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}], "medium": [{"name": "rectangle", "size": [36.658, 41.222], "center": [0.0, 0.0], "color": [0.9587390228967099, 0.5002160831904687, 0.3144724425065686]}, {"name": "rectangle", "size": [34.742000000000004, 22.272], "center": [30.000000000000004, -10.0], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}, {"name": "rectangle", "size": [34.742, 22.272], "center": [0.0, -4.440892098500626e-16], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}, {"name": "rectangle", "size": [20.612, 18.33], "center": [0.0, 0.0], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}], "hard": [{"name": "rectangle", "size": [34.742000000000004, 22.272], "center": [30.000000000000004, -10.0], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}, {"name": "rectangle", "size": [14.277876460767946, 22.272], "center": [-1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}, {"name": "rectangle", "size": [34.742, 22.272], "center": [0.0, -4.440892098500626e-16], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}, {"name": "rectangle", "size": [36.658, 41.222], "center": [0.0, 0.0], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [43.874, 43.874], "center": [0.0, 0.0], "color": [0.8310679928489868, 0.4164948698112161, 0.7654177038552202]}, {"name": "square", "size": [32.118, 32.118], "center": [0.0, 0.0], "color": [0.8310679928489868, 0.4164948698112161, 0.7654177038552202]}, {"name": "square", "size": [32.117999999999995, 32.118], "center": [30.0, -10.000000000000002], "color": [0.8310679928489868, 0.4164948698112161, 0.7654177038552202]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [36.658, 41.222], "center": [0.0, 0.0], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}, {"name": "rectangle", "size": [34.742, 22.272], "center": [0.0, -4.440892098500626e-16], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}, {"name": "rectangle", "size": [34.742000000000004, 22.272], "center": [30.000000000000004, -10.0], "color": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_32.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_32.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_32.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_32.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_32.png", "instructions": [["rotate", 60], ["rotate", -60], ["translate", [30, -10]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the rectangle by 60 degrees clockwise around its center. <shapeB_step_1>\n- Shift the rectangle to the right 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 "}
{"easy": "D", "medium": "B", "hard": "A"}
3steps_hard_no_70
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0> - Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_1> - Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['rotate', -30], ['translate', [-30, -10]], ['flip', 'vertical']]
hard
{"instance_id": 70, "shape_A": {"name": "hexagon", "facecolor": [0.508101811491622, 0.9708164574489425, 0.3493276156314574], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.8227848479903, 56.138178422412594]}, "shape_B": {"name": "circle", "facecolor": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736], "edgecolor": "black", "center": [-6.217248937900876e-16, -6.661338147750939e-17], "size": [60.6330068803098, 60.6330068803098]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_70.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_70.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_70.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_70.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_70.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_70.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_70.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [113.568, 32.321], "center": [2.4999999997987742e-05, 0.000575000000001058], "color": [0.3992537746866537, 0.38447221192508463, 0.17081492849912905]}, {"name": "circle", "size": [30.316, 30.504], "center": [8.881784197001253e-17, -8.326672684688674e-18], "color": [0.3907892359560011, 0.36863945198007786, 0.9533410282580205]}, {"name": "circle", "size": [60.55, 60.55], "center": [-4.440892098500626e-16, 1.7763568394002506e-16], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}, {"name": "circle", "size": [60.55, 60.55], "center": [30.000000000000007, -10.000000000000002], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}], "medium": [{"name": "circle", "size": [94.452, 86.77], "center": [-8.881784197001253e-17, 1.7763568394002505e-15], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}, {"name": "circle", "size": [60.55, 60.55], "center": [-4.440892098500626e-16, 1.7763568394002506e-16], "color": [0.31603709615674846, 0.792335239089489, 0.16666529076458014]}, {"name": "circle", "size": [60.55, 60.55], "center": [30.000000000000007, -10.000000000000002], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}, {"name": "circle", "size": [30.316000000000003, 30.316000000000003], "center": [-8.881784197001253e-17, -5.329070518200751e-16], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}], "hard": [{"name": "circle", "size": [60.55, 60.55], "center": [-4.440892098500626e-16, 1.7763568394002506e-16], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}, {"name": "circle", "size": [60.55, 60.55], "center": [30.000000000000007, -10.000000000000002], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}, {"name": "circle", "size": [17.829413469820448, 60.550000000000004], "center": [2.220446049250313e-16, 0.0001128316934980944], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}, {"name": "circle", "size": [30.316, 30.317], "center": [-5.00000000000167e-05, -0.00022499999999709975], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [56.138, 64.822], "center": [0.0, 0.0], "color": [0.508101811491622, 0.9708164574489425, 0.3493276156314574]}, {"name": "hexagon", "size": [56.138000000000005, 64.822], "center": [-30.0, -10.0], "color": [0.508101811491622, 0.9708164574489425, 0.3493276156314574]}, {"name": "hexagon", "size": [56.138000000000005, 64.822], "center": [30.0, -10.0], "color": [0.508101811491622, 0.9708164574489425, 0.3493276156314574]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [60.55, 60.55], "center": [-4.440892098500626e-16, 1.7763568394002506e-16], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}, {"name": "circle", "size": [60.55, 60.55], "center": [-30.000000000000007, -10.000000000000002], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}, {"name": "circle", "size": [60.55, 60.55], "center": [30.000000000000007, -10.000000000000002], "color": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_70.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_70.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_70.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_70.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_70.png", "instructions": [["rotate", -30], ["translate", [-30, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "B"}, "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 to the left by a significant amount 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 "}
{"easy": "D", "medium": "C", "hard": "B"}
3steps_hard_no_1
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the right by a significant amount and slightly upward. <shapeB_step_0> - Shift the square a little to the left and slightly downward. <shapeB_step_1> - Rotate the square by 30 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [30, 10]], ['translate', [-10, -10]], ['rotate', -30]]
hard
{"instance_id": 1, "shape_A": {"name": "rectangle", "facecolor": [0.5376344041016273, 0.5058846940487653, 0.1324565703664673], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.39063482486796, 21.322329607435638]}, "shape_B": {"name": "square", "facecolor": [0.6211592554930928, 0.562993645638946, 0.09998124892458848], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.51793250959106, 30.51793250959106]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_1.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_1.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_1.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_1.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_1.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_1.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [15.258, 15.258000000000001], "center": [-1.7763568394002505e-15, 8.881784197001252e-16], "color": [0.111873880589335, 0.9450509390466391, 0.6910196237558764]}, {"name": "square", "size": [41.688, 41.688], "center": [20.0, 0.0], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}, {"name": "square", "size": [41.688, 41.688], "center": [0.0, 0.0], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}, {"name": "square", "size": [30.518, 30.518], "center": [0.0, 0.0], "color": [0.1490542854785195, 0.036028138060830606, 0.36921598451219173]}], "medium": [{"name": "square", "size": [41.688, 41.688], "center": [20.0, 0.0], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}, {"name": "square", "size": [15.260000000000005, 15.26], "center": [0.0, 0.0], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}, {"name": "square", "size": [41.688, 41.688], "center": [0.0, 0.0], "color": [0.179360663418207, 0.9244872952415456, 0.7823864961476317]}, {"name": "square", "size": [30.518, 30.518], "center": [0.0, 0.0], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}], "hard": [{"name": "square", "size": [41.688, 41.688], "center": [0.0, 0.0], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}, {"name": "square", "size": [15.258, 15.258], "center": [-1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}, {"name": "square", "size": [41.688, 41.688], "center": [20.0, 0.0], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}, {"name": "square", "size": [30.518, 30.518], "center": [0.0, 0.0], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.39, 21.322000000000003], "center": [30.0, 10.0], "color": [0.5376344041016273, 0.5058846940487653, 0.1324565703664673]}, {"name": "rectangle", "size": [34.39, 21.322], "center": [20.0, 0.0], "color": [0.5376344041016273, 0.5058846940487653, 0.1324565703664673]}, {"name": "rectangle", "size": [40.444, 35.66], "center": [20.0, 0.0], "color": [0.5376344041016273, 0.5058846940487653, 0.1324565703664673]}], "tranformed_B_sequence_info": [{"name": "square", "size": [30.518, 30.518], "center": [30.0, 10.0], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}, {"name": "square", "size": [30.518, 30.518], "center": [20.0, 0.0], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}, {"name": "square", "size": [41.688, 41.688], "center": [20.0, 0.0], "color": [0.6211592554930928, 0.562993645638946, 0.09998124892458848]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_1.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_1.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_1.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_1.png", "instructions": [["translate", [30, 10]], ["translate", [-10, -10]], ["rotate", -30]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "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 and slightly upward. <shapeB_step_0>\n- Shift the square a little to the left and slightly downward. <shapeB_step_1>\n- Rotate the square 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 "}
{"easy": "B", "medium": "A", "hard": "C"}
3steps_hard_no_100
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the hexagon to the right by a significant amount and slightly downward. <shapeB_step_1> - Reduce the size of the hexagon, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', 30], ['translate', [30, -10]], ['scale', 0.5]]
hard
{"instance_id": 100, "shape_A": {"name": "rectangle", "facecolor": [0.636508616924554, 0.18554177849338294, 0.09380913897594545], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.642532378280357, 22.003028402354666]}, "shape_B": {"name": "hexagon", "facecolor": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.12874381864924, 57.269172067303415]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_100.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_100.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_100.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_100.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_100.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_100.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_100.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [0.0001666666666656861, 5.921189464667501e-16], "color": [0.5795771732275176, 0.46454687382641935, 0.010774645674016536]}, {"name": "hexagon", "size": [57.27, 66.128], "center": [0.0, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [29.99966666666667, -9.999999999999998], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [66.128, 57.27], "center": [5.921189464667501e-16, 0.0], "color": [0.09984104475250988, 0.397106043945775, 0.5448291759356968]}], "medium": [{"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [0.0001666666666656861, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [66.128, 57.269999999999996], "center": [-1.7763568394002505e-15, 0.0], "color": [0.7958903089422529, 0.14059568326348226, 0.1130815999466449]}, {"name": "hexagon", "size": [57.27, 66.128], "center": [0.0, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [29.99966666666667, -9.999999999999998], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}], "hard": [{"name": "hexagon", "size": [57.27, 66.128], "center": [0.0, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [0.0001666666666656861, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [29.99966666666667, -9.999999999999998], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [66.128, 57.27], "center": [1.1842378929335002e-15, 2.3684757858670005e-15], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [38.404, 34.876], "center": [0.0, -2.220446049250313e-16], "color": [0.636508616924554, 0.18554177849338294, 0.09380913897594545]}, {"name": "rectangle", "size": [38.403999999999996, 34.876], "center": [30.0, -10.0], "color": [0.636508616924554, 0.18554177849338294, 0.09380913897594545]}, {"name": "rectangle", "size": [19.201999999999998, 17.438000000000002], "center": [30.0, -10.0], "color": [0.636508616924554, 0.18554177849338294, 0.09380913897594545]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [57.27, 66.128], "center": [0.0, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [57.269999999999996, 66.128], "center": [29.999999999999996, -10.0], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [29.99966666666667, -9.999999999999998], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_100.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_100.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_100.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_100.png", "instructions": [["rotate", 30], ["translate", [30, -10]], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "D", "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- Shift the hexagon to the right by a significant amount and slightly downward. <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 "}
{"easy": "C", "medium": "D", "hard": "C"}
3steps_hard_no_104
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right. <shapeB_step_0> - Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1> - Shift the hexagon to the right by a significant amount and slightly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [10, 0]], ['flip', 'horizontal'], ['translate', [30, 10]]]
hard
{"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 "}
{"easy": "B", "medium": "B", "hard": "C"}
3steps_hard_no_34
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0> - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1> - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [30, 10]], ['translate', [30, 10]], ['translate', [30, 10]]]
hard
{"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 "}
{"easy": "A", "medium": "C", "hard": "B"}
3steps_hard_no_82
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Reduce the size of the circle, making it smaller. <shapeB_step_1> - Shift the circle a little to the left and significantly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['rotate', 30], ['scale', 0.5], ['translate', [-10, -30]]]
hard
{"instance_id": 82, "shape_A": {"name": "triangle", "facecolor": [0.7926721683585463, 0.8039064957759225, 0.9978021711720083], "edgecolor": "black", "center": [0.0, 0.0], "size": [37.85026761977163, 58.31016115377872]}, "shape_B": {"name": "circle", "facecolor": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391], "edgecolor": "black", "center": [-2.6645352591003756e-16, -4.152234112098085e-15], "size": [63.84367302609029, 63.84367302609029]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_82.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_82.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_82.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_82.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_82.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_82.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_82.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [88.926, 91.723], "center": [-2.5000000003316813e-05, 7.500000000204565e-05], "color": [0.3389664155101745, 0.6885595634581967, 0.7673925827649067]}, {"name": "circle", "size": [31.878, 31.878], "center": [-9.999999999999998, -29.999999999999993], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [63.756, 63.756], "center": [4.440892098500626e-16, -4.4408920985006264e-17], "color": [0.14316239479807358, 0.13525561260659602, 0.6083100457660281]}, {"name": "circle", "size": [31.878, 31.878], "center": [7.499999999986962e-05, -2.4424906541753446e-16], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}], "medium": [{"name": "circle", "size": [31.878, 31.878], "center": [7.499999999986962e-05, -2.4424906541753446e-16], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [31.878, 31.878], "center": [-9.999999999999998, -29.999999999999993], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [63.756, 63.756], "center": [4.440892098500626e-16, -4.4408920985006264e-17], "color": [0.043844746940007506, 0.28582998176788244, 0.5568368506628595]}, {"name": "circle", "size": [47.186, 55.59], "center": [6.217248937900876e-16, -2.0983215165415457e-15], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}], "hard": [{"name": "circle", "size": [31.878, 31.878], "center": [7.499999999986962e-05, -2.4424906541753446e-16], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [31.878, 31.878], "center": [-9.999999999999998, -29.999999999999993], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [63.756, 63.756], "center": [4.440892098500626e-16, -4.4408920985006264e-17], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [40.498, 41.36], "center": [-3.9968028886505636e-16, -2.148281552649678e-15], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [57.826, 36.414], "center": [0.0, 0.0], "color": [0.7926721683585463, 0.8039064957759225, 0.9978021711720083]}, {"name": "triangle", "size": [28.912, 18.207], "center": [5.921189464667501e-16, 0.0], "color": [0.7926721683585463, 0.8039064957759225, 0.9978021711720083]}, {"name": "triangle", "size": [28.912, 18.207000000000004], "center": [-10.0, -30.0], "color": [0.7926721683585463, 0.8039064957759225, 0.9978021711720083]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [63.756, 63.756], "center": [4.440892098500626e-16, -4.4408920985006264e-17], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [31.878, 31.878], "center": [7.499999999986962e-05, -2.4424906541753446e-16], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [31.878, 31.878], "center": [-9.999999999999998, -29.999999999999993], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_82.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_82.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_82.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_82.png", "instructions": [["rotate", 30], ["scale", 0.5], ["translate", [-10, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "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- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Shift the circle a little to the left 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 "}
{"easy": "B", "medium": "B", "hard": "B"}
3steps_hard_no_88
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0> - Reduce the size of the circle, making it smaller. <shapeB_step_1> - Increase the size of the circle, making it larger. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', -30], ['scale', 0.5], ['scale', 2.0]]
hard
{"instance_id": 88, "shape_A": {"name": "triangle", "facecolor": [0.07969108996919705, 0.917970684447528, 0.49931702987600457], "edgecolor": "black", "center": [-2.9605947323337506e-16, 0.0], "size": [29.246207681932347, 58.91347559234143]}, "shape_B": {"name": "circle", "facecolor": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963], "edgecolor": "black", "center": [0.0, -1.5543122344752192e-15], "size": [68.7697855418835, 68.7697855418835]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_88.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_88.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_88.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_88.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_88.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_88.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_88.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.676, 68.676], "center": [2.3980817331903383e-15, 1.4210854715202005e-15], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}, {"name": "circle", "size": [148.0, 146.20160387194767], "center": [0.0, 8.881784197001252e-16], "color": [0.15606230787721476, 0.4042073349153178, 0.7604216460392634]}, {"name": "circle", "size": [34.384, 34.384], "center": [0.0, -1.1102230246251565e-16], "color": [0.18423141128014642, 0.6381515318483931, 0.08642202210191441]}, {"name": "circle", "size": [97.15199999999999, 89.67], "center": [-3.4638958368304883e-15, 9.769962616701378e-16], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}], "medium": [{"name": "circle", "size": [34.338, 34.338], "center": [0.00012500000000064125, 0.00012499999999975308], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}, {"name": "circle", "size": [68.676, 68.676], "center": [2.3980817331903383e-15, 1.4210854715202005e-15], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}, {"name": "circle", "size": [77.45, 79.172], "center": [8.881784197001252e-16, -1.3322676295501878e-16], "color": [0.8663281958963324, 0.5260088383600471, 0.3579158633941689]}, {"name": "circle", "size": [36.445, 65.718], "center": [2.4999999998254195e-05, 7.499999999902585e-05], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}], "hard": [{"name": "circle", "size": [34.338, 34.338], "center": [0.00012500000000064125, 0.00012499999999975308], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}, {"name": "circle", "size": [44.364999999999995, 41.644999999999996], "center": [0.0003750000000012577, 0.0004250000000022069], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}, {"name": "circle", "size": [68.676, 68.676], "center": [2.3980817331903383e-15, 1.4210854715202005e-15], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}, {"name": "circle", "size": [96.792, 94.152], "center": [3.552713678800501e-16, 1.7763568394002506e-16], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [41.101, 58.667], "center": [-1.1842378929335002e-15, 0.0], "color": [0.07969108996919705, 0.917970684447528, 0.49931702987600457]}, {"name": "triangle", "size": [20.551000000000002, 29.333], "center": [-0.0003333333333337407, -0.0003333333333325565], "color": [0.07969108996919705, 0.917970684447528, 0.49931702987600457]}, {"name": "triangle", "size": [41.101, 58.667], "center": [-1.1842378929335002e-15, 0.0], "color": [0.07969108996919705, 0.917970684447528, 0.49931702987600457]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.676, 68.676], "center": [2.3980817331903383e-15, 1.4210854715202005e-15], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}, {"name": "circle", "size": [34.338, 34.338], "center": [0.00012500000000064125, 0.00012499999999975308], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}, {"name": "circle", "size": [68.676, 68.676], "center": [2.3980817331903383e-15, 1.4210854715202005e-15], "color": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_88.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_88.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_88.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_88.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_88.png", "instructions": [["rotate", -30], ["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "A", "medium": "B", "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- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Increase the size of the circle, making it larger. <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 "}
{"easy": "A", "medium": "B", "hard": "C"}
3steps_hard_no_37
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1> - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['rotate', 30], ['rotate', 60], ['rotate', -60]]
hard
{"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 "}
{"easy": "D", "medium": "D", "hard": "D"}
3steps_hard_no_101
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the left by a significant amount and significantly downward. <shapeB_step_0> - Shift the square a little to the left and significantly upward. <shapeB_step_1> - Reduce the size of the square, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, -30]], ['translate', [-10, 30]], ['scale', 0.5]]
hard
{"instance_id": 101, "shape_A": {"name": "pentagon", "facecolor": [0.03265833366960047, 0.41080551222202943, 0.4519012488987645], "edgecolor": "black", "center": [-3.552713678800501e-16, 0.0], "size": [56.56226326649088, 59.47308314213494]}, "shape_B": {"name": "square", "facecolor": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.86564712611827, 32.86564712611827]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_101.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_101.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_101.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_101.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_101.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_101.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_101.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [32.866, 32.866], "center": [0.0, 0.0], "color": [0.22764661331324487, 0.1770470758095134, 0.5801441206875824]}, {"name": "square", "size": [16.432000000000002, 16.432], "center": [-40.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [44.896, 44.896], "center": [0.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [16.432000000000002, 16.432], "center": [0.0, 0.0], "color": [0.42019887081099183, 0.8287172073316748, 0.7252944145440218]}], "medium": [{"name": "square", "size": [32.866, 32.866], "center": [0.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [16.432000000000002, 16.432000000000002], "center": [-8.881784197001252e-16, -8.881784197001252e-16], "color": [0.8436972954650792, 0.5414012975449087, 0.9908271681102995]}, {"name": "square", "size": [16.432000000000002, 16.432], "center": [-40.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [44.896, 44.896], "center": [0.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}], "hard": [{"name": "square", "size": [16.432000000000002, 16.432000000000002], "center": [8.881784197001252e-16, 8.881784197001252e-16], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [44.896, 44.896], "center": [0.0, -2.220446049250313e-16], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [32.866, 32.866], "center": [0.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [16.432000000000002, 16.432], "center": [-40.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [56.562000000000005, 59.474000000000004], "center": [-29.9998, -30.0], "color": [0.03265833366960047, 0.41080551222202943, 0.4519012488987645]}, {"name": "pentagon", "size": [56.562, 59.474], "center": [-39.9998, -7.105427357601002e-16], "color": [0.03265833366960047, 0.41080551222202943, 0.4519012488987645]}, {"name": "pentagon", "size": [28.281, 29.736], "center": [-39.9996, 3.552713678800501e-16], "color": [0.03265833366960047, 0.41080551222202943, 0.4519012488987645]}], "tranformed_B_sequence_info": [{"name": "square", "size": [32.866, 32.866], "center": [-30.0, -30.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [32.866, 32.866], "center": [-40.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [16.432000000000002, 16.432], "center": [-40.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_101.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_101.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_101.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_101.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. <shapeB_step_1>\n- Reduce the size of the square, 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 "}
{"easy": "B", "medium": "C", "hard": "D"}
3steps_hard_no_0
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the left and significantly downward. <shapeB_step_0> - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the circle a little to the right. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [-10, -30]], ['rotate', 30], ['translate', [10, 0]]]
hard
{"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 "}
{"easy": "B", "medium": "C", "hard": "A"}
3steps_hard_no_119
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_1> - Shift the triangle a little to the left. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['rotate', 30], ['translate', [-30, 30]], ['translate', [-10, 0]]]
hard
{"instance_id": 119, "shape_A": {"name": "rectangle", "facecolor": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.24822105989614, 21.66208613025525]}, "shape_B": {"name": "triangle", "facecolor": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684], "edgecolor": "black", "center": [0.0, 0.0], "size": [52.08814540413783, 54.442623146343855]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_119.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_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [24.711, 32.265], "center": [0.7625000000000001, -2.2818333333333336], "color": [0.7610957147710081, 0.5336540213797596, 0.4541393548714845]}, {"name": "triangle", "size": [65.95400000000001, 48.341], "center": [-2.6070000000000007, 3.1141666666666663], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [48.341, 65.95400000000001], "center": [3.1141666666666663, 2.6070000000000007], "color": [0.7527492895017147, 0.6048197007594652, 0.8781372278971241]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}], "medium": [{"name": "triangle", "size": [65.95400000000001, 48.341], "center": [-2.6070000000000007, 3.1141666666666663], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [26.044, 27.221], "center": [-3.943, -3.099499999999999], "color": [0.38694623214830115, 0.7687280455169108, 0.5401432841943017]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [55.977000000000004, 56.331], "center": [4.710500000000001, -0.3354999999999985], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}], "hard": [{"name": "triangle", "size": [52.088, 54.442], "center": [-7.886333333333334, 6.198999999999999], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.95400000000001, 48.341], "center": [-2.6070000000000007, 3.1141666666666663], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [32.265, 24.711], "center": [2.2818333333333336, 0.7625000000000001], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [40.49, 35.884], "center": [0.0, -3.608224830031759e-16], "color": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847]}, {"name": "rectangle", "size": [40.489999999999995, 35.884], "center": [-30.0, 29.999999999999996], "color": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847]}, {"name": "rectangle", "size": [40.489999999999995, 35.884], "center": [-40.0, 29.999999999999996], "color": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [65.95400000000001, 48.341], "center": [1.1842378929335002e-15, -0.0003333333333337407], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.954, 48.340999999999994], "center": [-30.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_119.png", "instructions": [["rotate", 30], ["translate", [-30, 30]], ["translate", [-10, 0]]], "correct_answer": {"easy": "D", "medium": "C", "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 counter-clockwise around its center. <shapeB_step_0>\n- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_1>\n- Shift the triangle a little to the left. <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 "}
{"easy": "D", "medium": "C", "hard": "B"}
3steps_hard_no_64
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the left by a significant amount. <shapeB_step_0> - Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-30, 0]], ['rotate', 60], ['translate', [-30, 30]]]
hard
{"instance_id": 64, "shape_A": {"name": "square", "facecolor": [0.6639878348318775, 0.4032816903425681, 0.6846023662624946], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.726659582155456, 33.726659582155456]}, "shape_B": {"name": "ellipse", "facecolor": [0.2560335809291743, 0.7639408847787152, 0.823856385364805], "edgecolor": "black", "center": [-4.440892098500626e-16, 4.940492459581947e-16], "size": [33.5887390001288, 21.256854641847156]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_64.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_64.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_64.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_64.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_64.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_64.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_64.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.587999999999994, 21.256], "center": [-3.552713678800501e-16, -4.829470157119431e-16], "color": [0.1594557628481833, 0.5645710467008669, 0.729186533575147]}, {"name": "ellipse", "size": [24.892, 30.948], "center": [3.552713678800501e-16, -3.552713678800501e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.891999999999996, 30.947999999999997], "center": [-60.0, 30.000000000000007], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [12.446, 15.473999999999998], "center": [-4.4408920985006264e-17, 2.2204460492503132e-17], "color": [0.33556354308455594, 0.08006162467764366, 0.9609209328671239]}], "medium": [{"name": "ellipse", "size": [33.587999999999994, 21.256], "center": [-3.552713678800501e-16, -4.829470157119431e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.892, 30.948], "center": [3.552713678800501e-16, -3.552713678800501e-16], "color": [0.16819008912031275, 0.023793007479033568, 0.7170867593659647]}, {"name": "ellipse", "size": [17.073999999999998, 13.400000000000002], "center": [1.3322676295501878e-16, 2.6645352591003756e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.891999999999996, 30.947999999999997], "center": [-60.0, 30.000000000000007], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}], "hard": [{"name": "ellipse", "size": [24.892, 30.948], "center": [3.552713678800501e-16, -3.552713678800501e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.891999999999996, 30.947999999999997], "center": [-60.0, 30.000000000000007], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [15.474, 12.445999999999998], "center": [-5.773159728050814e-16, 7.105427357601002e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [33.587999999999994, 21.256], "center": [-3.552713678800501e-16, -4.829470157119431e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [33.726, 33.726], "center": [-30.0, 0.0], "color": [0.6639878348318775, 0.4032816903425681, 0.6846023662624946]}, {"name": "square", "size": [46.06999999999999, 46.07], "center": [-30.0, 2.220446049250313e-16], "color": [0.6639878348318775, 0.4032816903425681, 0.6846023662624946]}, {"name": "square", "size": [46.06999999999999, 46.06999999999999], "center": [-60.0, 30.0], "color": [0.6639878348318775, 0.4032816903425681, 0.6846023662624946]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.587999999999994, 21.256], "center": [-29.999999999999993, -4.829470157119431e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.892, 30.948], "center": [-30.00000000000001, -3.552713678800501e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.891999999999996, 30.947999999999997], "center": [-60.0, 30.000000000000007], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_64.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_64.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_64.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_64.png", "instructions": [["translate", [-30, 0]], ["rotate", 60], ["translate", [-30, 30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the left by a significant amount. <shapeB_step_0>\n- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse to the left by a significant amount 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 "}
{"easy": "C", "medium": "D", "hard": "B"}
3steps_hard_no_75
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0> - Reduce the size of the circle, making it smaller. <shapeB_step_1> - Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-30, -30]], ['scale', 0.5], ['flip', 'vertical']]
hard
{"instance_id": 75, "shape_A": {"name": "pentagon", "facecolor": [0.45674633042636925, 0.8316691933719237, 0.673254121332858], "edgecolor": "black", "center": [7.105427357601002e-16, 1.4210854715202005e-15], "size": [59.18494571404371, 62.230734661909494]}, "shape_B": {"name": "circle", "facecolor": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003], "edgecolor": "black", "center": [-5.329070518200751e-16, -8.215650382226159e-16], "size": [69.45070957938837, 69.45070957938837]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_75.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_75.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_75.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-4.7961634663806766e-15, -4.440892098500626e-15], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [46.076, 52.302], "center": [-6.217248937900876e-16, 1.9539925233402757e-15], "color": [0.8478644241745077, 0.012038291010361801, 0.36301883461664086]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-0.0002749999999990038, -7.105427357601002e-16], "color": [0.32394193681060623, 0.239173511249826, 0.4128729433649466]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}], "medium": [{"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-4.7961634663806766e-15, -4.440892098500626e-15], "color": [0.9206505130065439, 0.6526182608492092, 0.5133389267827447]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-0.0002749999999990038, -7.105427357601002e-16], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [72.15, 81.068], "center": [-2.7533531010703883e-15, -2.3092638912203257e-15], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}], "hard": [{"name": "circle", "size": [39.544, 148.913], "center": [-2.4999999998343015e-05, -0.0005249999999913157], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-4.7961634663806766e-15, -4.440892098500626e-15], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-0.0002749999999990038, -7.105427357601002e-16], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [59.185, 62.230000000000004], "center": [-29.999800000000004, -30.0], "color": [0.45674633042636925, 0.8316691933719237, 0.673254121332858]}, {"name": "pentagon", "size": [29.593000000000004, 31.116], "center": [-29.9998, -30.0], "color": [0.45674633042636925, 0.8316691933719237, 0.673254121332858]}, {"name": "pentagon", "size": [29.593000000000004, 31.116], "center": [29.9998, -30.0], "color": [0.45674633042636925, 0.8316691933719237, 0.673254121332858]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-29.999999999999993, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_75.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_75.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, -30]], ["scale", 0.5], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "D", "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 significantly downward. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <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 "}
{"easy": "D", "medium": "D", "hard": "B"}
3steps_hard_no_38
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_0> - Shift the pentagon significantly upward. <shapeB_step_1> - Rotate the pentagon by 30 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, 30]], ['translate', [0, 30]], ['rotate', -30]]
hard
{"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 "}
{"easy": "C", "hard": "D"}
3steps_hard_no_73
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the left and significantly downward. <shapeB_step_0> - Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1> - Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-10, -30]], ['translate', [30, 10]], ['flip', 'vertical']]
hard
{"instance_id": 73, "shape_A": {"name": "triangle", "facecolor": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [60.787677252098604, 22.748862674852653]}, "shape_B": {"name": "rectangle", "facecolor": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.77488913308872, 21.149583667217854]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_73.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_73.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_73.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_73.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_73.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_73.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_73.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [39.826, 35.202], "center": [0.0, 3.3306690738754696e-16], "color": [0.8391437219984859, 0.8207609301134132, 0.7756596633854753]}, {"name": "rectangle", "size": [21.15, 33.774], "center": [0.0, 0.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [0.0, -1.7763568394002505e-15], "color": [0.7656666102185837, 0.03511478903215426, 0.3050668757193612]}], "medium": [{"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [0.0, -1.7763568394002505e-15], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [39.82599999999999, 35.202], "center": [8.881784197001252e-16, 0.0], "color": [0.969324626201332, 0.18628970939629597, 0.12771629092021286]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [13.242545002368544, 21.15], "center": [0.0, 0.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}], "hard": [{"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [0.0, -1.7763568394002505e-15], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [18.696379067898754, 21.15], "center": [0.0, -2.220446049250313e-16], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [21.150000000000002, 33.775999999999996], "center": [0.0, 8.881784197001252e-16], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [60.788000000000004, 22.749], "center": [-9.999666666666668, -30.0], "color": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874]}, {"name": "triangle", "size": [60.788, 22.749], "center": [20.000333333333334, -20.0], "color": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874]}, {"name": "triangle", "size": [60.788, 22.749], "center": [-20.000333333333334, -20.0], "color": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [-10.0, -30.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_73.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_73.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_73.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_73.png", "instructions": [["translate", [-10, -30]], ["translate", [30, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "A", "medium": "C", "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 significantly downward. <shapeB_step_0>\n- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Flip the rectangle 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 "}
{"easy": "A", "medium": "C", "hard": "B"}
3steps_hard_no_25
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the pentagon, making it smaller. <shapeB_step_0> - Rotate the pentagon by 60 degrees counter-clockwise around its center. <shapeB_step_1> - Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['scale', 0.5], ['rotate', 60], ['rotate', 30]]
hard
{"instance_id": 25, "shape_A": {"name": "triangle", "facecolor": [0.842089709833705, 0.8581893577427531, 0.5385825350203697], "edgecolor": "black", "center": [2.3684757858670005e-15, 0.0], "size": [61.731959109588395, 20.335586785683102]}, "shape_B": {"name": "pentagon", "facecolor": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403], "edgecolor": "black", "center": [-1.0658141036401502e-15, 1.4210854715202005e-15], "size": [61.93739095549549, 65.12482685758042]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_25.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_25.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_25.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_25.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_25.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_25.png", "answer_choices": {"medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_25.png"}, "answer_choices_info": {"medium": [{"name": "pentagon", "size": [74.12100000000001, 67.882], "center": [2.8225000000000007, 2.821199999999999], "color": [0.9002085218414048, 0.6104010635647966, 0.14686181172948376]}, {"name": "pentagon", "size": [61.937, 65.124], "center": [-3.2695, 0.0], "color": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403]}, {"name": "pentagon", "size": [32.562, 30.97], "center": [0.0, 1.7763568394002506e-16], "color": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403]}, {"name": "pentagon", "size": [87.24199999999999, 79.82300000000001], "center": [-1.508199999999998, 3.6565000000000025], "color": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403]}], "hard": [{"name": "pentagon", "size": [63.702, 64.768], "center": [2.1998, 1.1060000000000003], "color": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403]}, {"name": "pentagon", "size": [32.562, 30.97], "center": [0.0, 1.7763568394002506e-16], "color": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403]}, {"name": "pentagon", "size": [73.186, 68.15899999999999], "center": [-0.6921999999999968, 1.9812999999999987], "color": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403]}, {"name": "pentagon", "size": [88.75399999999999, 84.069], "center": [-1.8460000000000008, -3.154699999999999], "color": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [30.866, 10.168], "center": [0.0, 2.9605947323337506e-16], "color": [0.842089709833705, 0.8581893577427531, 0.5385825350203697]}, {"name": "triangle", "size": [24.238, 23.269], "center": [0.0, 5.921189464667501e-16], "color": [0.842089709833705, 0.8581893577427531, 0.5385825350203697]}, {"name": "triangle", "size": [10.168, 30.866], "center": [-2.9605947323337506e-16, 0.0], "color": [0.842089709833705, 0.8581893577427531, 0.5385825350203697]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [30.969, 32.562], "center": [-0.0002000000000000668, 0.0], "color": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403]}, {"name": "pentagon", "size": [32.384, 31.851], "center": [7.105427357601002e-16, 0.00020000000000042206], "color": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403]}, {"name": "pentagon", "size": [32.562, 30.97], "center": [0.0, 1.7763568394002506e-16], "color": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403]}], "individual_answer_choices_path": {"medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_25.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_25.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_25.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_25.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_25.png", "instructions": [["scale", 0.5], ["rotate", 60], ["rotate", 30]], "correct_answer": {"medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the pentagon, making it smaller. <shapeB_step_0>\n- Rotate the pentagon by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the pentagon 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 "}
{"medium": "C", "hard": "B"}
3steps_hard_no_103
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0> - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1> - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, 30]], ['rotate', -60], ['rotate', -60]]
hard
{"instance_id": 103, "shape_A": {"name": "pentagon", "facecolor": [0.46108798295271736, 0.1718510827561356, 0.7514961977145297], "edgecolor": "black", "center": [-3.552713678800501e-16, -2.1316282072803005e-15], "size": [59.73013480277361, 62.80398039377587]}, "shape_B": {"name": "triangle", "facecolor": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641], "edgecolor": "black", "center": [-1.1842378929335002e-15, -2.3684757858670005e-15], "size": [50.425179620050116, 45.62148758506976]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_103.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_103.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_103.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_103.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_103.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_103.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_103.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [34.900000000000006, 66.48], "center": [-1.0509999999999973, -3.647], "color": [0.6014074837104642, 0.4189502052888402, 0.35433666022814225]}, {"name": "triangle", "size": [50.425000000000004, 45.620999999999995], "center": [7.783500000000004, 6.187499999999999], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [-30.0, 30.0], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [1.4670000000000012, -0.29749999999999827], "color": [0.030571182973645472, 0.0498392996760022, 0.2870804668179434]}], "medium": [{"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [-30.0, 30.0], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [34.900000000000006, 66.48], "center": [-1.0509999999999973, -3.647], "color": [0.8789811295851514, 0.4055175586189552, 0.6945228262186488]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [1.4670000000000012, -0.29749999999999827], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [50.425000000000004, 45.620999999999995], "center": [7.783500000000004, 6.187499999999999], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}], "hard": [{"name": "triangle", "size": [34.900000000000006, 66.48], "center": [-1.0509999999999973, -3.647], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [50.425000000000004, 45.620999999999995], "center": [7.783500000000004, 6.187499999999999], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [1.4670000000000012, -0.29749999999999827], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [-30.0, 30.0], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [59.730000000000004, 62.804], "center": [-30.0, 30.0], "color": [0.46108798295271736, 0.1718510827561356, 0.7514961977145297]}, {"name": "pentagon", "size": [62.458999999999996, 61.431000000000004], "center": [-30.0, 30.0002], "color": [0.46108798295271736, 0.1718510827561356, 0.7514961977145297]}, {"name": "pentagon", "size": [62.458999999999996, 61.431000000000004], "center": [-30.0, 30.0], "color": [0.46108798295271736, 0.1718510827561356, 0.7514961977145297]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [50.425000000000004, 45.620999999999995], "center": [-30.0, 29.999999999999996], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [34.9, 66.48], "center": [-30.0, 30.0], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [-30.0, 30.0], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_103.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_103.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_103.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_103.png", "instructions": [["translate", [-30, 30]], ["rotate", -60], ["rotate", -60]], "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 left by a significant amount and significantly upward. <shapeB_step_0>\n- Rotate the triangle by 60 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 "}
{"easy": "C", "medium": "A", "hard": "D"}
3steps_hard_no_47
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0> - Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1> - Shift the circle a little to the right and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [-30, 30]], ['flip', 'horizontal'], ['translate', [10, 30]]]
hard
{"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 "}
{"easy": "D", "medium": "C", "hard": "C"}
3steps_hard_no_77
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0> - Shift the circle a little to the left and slightly downward. <shapeB_step_1> - Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', -30], ['translate', [-10, -10]], ['flip', 'vertical']]
hard
{"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 "}
{"easy": "B", "medium": "C", "hard": "C"}
3steps_hard_no_89
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> - Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1> - Rotate the rectangle by 30 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5], ['translate', [30, 10]], ['rotate', -30]]
hard
{"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 "}
{"easy": "D", "medium": "C", "hard": "D"}
3steps_hard_no_93
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount and significantly upward. <shapeB_step_0> - Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1> - Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [30, 30]], ['flip', 'horizontal'], ['flip', 'horizontal']]
hard
{"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 "}
{"easy": "B", "medium": "C", "hard": "B"}