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qid stringlengths 17 25	answer stringclasses 4 values	transformations stringlengths 32 137	difficulty_level stringclasses 3 values	question_info stringlengths 3.58k 7.2k	answer_info stringlengths 13 41
2steps_easy_all_81	C	[['rotate', 30], ['translate', [-10, 30]]]	easy	{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.91542727345086, 33.91542727345086]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_81.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_81.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_81.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.017269358477543406, 0.8951715436112537, 0.8881882715240285]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.9822023558670021, 0.3805353841932245, 0.6158594794070977]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [0.0, 6.661338147750939e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "medium": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.164, 23.164], "center": [1.1102230246251565e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.5512682171709632, 0.4558650631394707, 0.703459189841425]}], "hard": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [-8.881784197001252e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [39.654, 34.972], "center": [0.0, -5.551115123125783e-17], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}, {"name": "rectangle", "size": [39.654, 34.971999999999994], "center": [-10.0, 30.0], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}], "tranformed_B_sequence_info": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_81.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_81.png", "instructions": [["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "C", "medium": "C", "hard": "D"}
2steps_easy_all_14	D	[['translate', [-30, -30]], ['translate', [-30, -10]]]	easy	{"instance_id": 14, "shape_A": {"name": "hexagon", "facecolor": [0.8671389723518831, 0.6479406086588688, 0.95739164910812], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.25937346695748, 58.24832606501022]}, "shape_B": {"name": "pentagon", "facecolor": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084], "edgecolor": "black", "center": [1.0658141036401502e-15, 0.0], "size": [56.18568847166277, 59.077128970772904]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_14.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [56.18600000000001, 59.078], "center": [-2.965799999999998, 0.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [68.395, 77.165], "center": [3.1387000000000014, 0.9262999999999991], "color": [0.09820240138037195, 0.7255892573341403, 0.48719041013374853]}, {"name": "pentagon", "size": [29.538, 28.093], "center": [-3.552713678800501e-16, 1.4827], "color": [0.3308509316827234, 0.12821514659595157, 0.6554729806969527]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}], "medium": [{"name": "pentagon", "size": [32.506, 35.007999999999996], "center": [0.7238, 0.33600000000000063], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18600000000001, 59.078], "center": [-2.965799999999998, 0.0], "color": [0.4146136850951062, 0.3302247652430509, 0.11333869756398085]}, {"name": "pentagon", "size": [68.628, 73.974], "center": [-3.0588000000000006, 1.9782000000000004], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [67.26, 58.248000000000005], "center": [-30.0, -30.0], "color": [0.8671389723518831, 0.6479406086588688, 0.95739164910812]}, {"name": "hexagon", "size": [67.25999999999999, 58.248], "center": [-60.0, -39.99999999999999], "color": [0.8671389723518831, 0.6479406086588688, 0.95739164910812]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [56.186, 59.078], "center": [-29.999800000000004, -30.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_14.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_14.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_14.png", "instructions": [["translate", [-30, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "D", "medium": "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 downward. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "D", "medium": "D"}
2steps_easy_all_94	D	[['shear', [-0.5007056566684591, -0.5675947174691485]], ['translate', [-10, 10]]]	easy	{"instance_id": 94, "shape_A": {"name": "circle", "facecolor": [0.9765537444270052, 0.9710444512291023, 0.9541063546237598], "edgecolor": "black", "center": [-1.2434497875801752e-15, 3.108624468950438e-16], "size": [62.18200040534301, 62.18200040534301]}, "shape_B": {"name": "rectangle", "facecolor": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.14639088858486, 20.540474755398535]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_94.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_94.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_94.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_94.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_94.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_94.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_94.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_94.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_94.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.146, 20.540000000000003], "center": [0.0, -1.7763568394002505e-15], "color": [0.7322084159046721, 0.840729605985953, 0.4928875057883869]}, {"name": "rectangle", "size": [40.432, 37.652], "center": [0.0, 0.0], "color": [0.1421406382664957, 0.8509180090527397, 0.32502249563734387]}, {"name": "rectangle", "size": [20.54, 30.146], "center": [0.0, 0.0], "color": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885]}, {"name": "rectangle", "size": [40.432, 37.652], "center": [-10.0, 10.0], "color": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885]}], "medium": [{"name": "rectangle", "size": [40.432, 37.652], "center": [0.0, 0.0], "color": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885]}, {"name": "rectangle", "size": [40.432, 37.652], "center": [-10.0, 10.0], "color": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885]}, {"name": "rectangle", "size": [54.348, 20.868], "center": [0.0, -2.220446049250313e-16], "color": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885]}, {"name": "rectangle", "size": [25.65592091295117, 37.652], "center": [0.0, 0.0], "color": [0.5390149383336987, 0.1182627461997976, 0.3069157331191782]}], "hard": [{"name": "rectangle", "size": [40.432, 27.54837391362038], "center": [0.0, 0.0], "color": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885]}, {"name": "rectangle", "size": [30.146, 20.54], "center": [0.0, 0.0], "color": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885]}, {"name": "rectangle", "size": [40.432, 37.652], "center": [0.0, 0.0], "color": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885]}, {"name": "rectangle", "size": [40.432, 37.652], "center": [-10.0, 10.0], "color": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [69.54, 71.428], "center": [0.0, 7.993605777301127e-16], "color": [0.9765537444270052, 0.9710444512291023, 0.9541063546237598]}, {"name": "circle", "size": [69.54, 71.428], "center": [-10.000000000000002, 10.0], "color": [0.9765537444270052, 0.9710444512291023, 0.9541063546237598]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [40.432, 37.652], "center": [0.0, 0.0], "color": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885]}, {"name": "rectangle", "size": [40.432, 37.652], "center": [-10.0, 10.0], "color": [0.7714861348701586, 0.060426953617673695, 0.39893738083277885]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_94.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_94.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_94.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_94.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_94.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_94.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_94.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_94.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_94.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_94.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_94.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_94.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_94.png", "instructions": [["shear", [-0.5007056566684591, -0.5675947174691485]], ["translate", [-10, 10]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "D"}, "text_instructions": "N/A"}	{"easy": "D", "medium": "B", "hard": "D"}
2steps_easy_all_17	A	[['shear', [0.4986696180547221, -0.27962270481169504]], ['rotate', -30]]	easy	{"instance_id": 17, "shape_A": {"name": "ellipse", "facecolor": [0.6286354255493629, 0.8201213913057186, 0.2076376009651929], "edgecolor": "black", "center": [0.0, -6.272760089132135e-16], "size": [30.806676137152706, 21.421902724023525]}, "shape_B": {"name": "pentagon", "facecolor": [0.14537441621593594, 0.03243209173527761, 0.5780927154273869], "edgecolor": "black", "center": [-3.552713678800501e-16, 1.4210854715202005e-15], "size": [60.60068374949455, 63.719329725603345]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_17.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_17.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_17.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_17.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_17.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_17.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_17.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [75.236, 59.586], "center": [0.0, 7.105427357601002e-16], "color": [0.14537441621593594, 0.03243209173527761, 0.5780927154273869]}, {"name": "pentagon", "size": [60.6, 63.72], "center": [-3.1987999999999985, 0.0], "color": [0.058184587279723754, 0.5713670755157508, 0.9793499457014992]}, {"name": "pentagon", "size": [30.301000000000002, 31.86], "center": [1.5994999999999986, 0.0], "color": [0.14537441621593594, 0.03243209173527761, 0.5780927154273869]}, {"name": "pentagon", "size": [78.90799999999999, 78.274], "center": [0.03220000000000027, 3.5561999999999983], "color": [0.4137579092729554, 0.20984536927811426, 0.2090509803001116]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.6, 23.036], "center": [-1.1990408665951691e-15, 4.2188474935755947e-16], "color": [0.6286354255493629, 0.8201213913057186, 0.2076376009651929]}, {"name": "ellipse", "size": [29.936, 26.368], "center": [2.6645352591003756e-16, 1.7763568394002506e-16], "color": [0.6286354255493629, 0.8201213913057186, 0.2076376009651929]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [70.41900000000001, 63.718999999999994], "center": [3.552713678800501e-16, 0.00019999999999953388], "color": [0.14537441621593594, 0.03243209173527761, 0.5780927154273869]}, {"name": "pentagon", "size": [75.236, 59.586], "center": [0.0, 7.105427357601002e-16], "color": [0.14537441621593594, 0.03243209173527761, 0.5780927154273869]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_17.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_17.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_17.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_17.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_17.png", "instructions": [["shear", [0.4986696180547221, -0.27962270481169504]], ["rotate", -30]], "correct_answer": {"easy": "A"}, "text_instructions": "N/A"}	{"easy": "A"}
2steps_easy_all_116	D	[['rotate', -90], ['scale', 0.5]]	easy	{"instance_id": 116, "shape_A": {"name": "hexagon", "facecolor": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.46649890873571, 54.96360034422247]}, "shape_B": {"name": "rectangle", "facecolor": [0.9984367810079988, 0.43255898543761095, 0.767455259870214], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.04667739523437, 20.34563245259622]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_116.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_116.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_116.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_116.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [30.046000000000003, 20.345999999999997], "center": [-1.7763568394002505e-15, 8.881784197001252e-16], "color": [0.2698497153897096, 0.8506154747557466, 0.04289290810317403]}, {"name": "rectangle", "size": [40.184, 28.712000000000003], "center": [0.0, 4.440892098500626e-16], "color": [0.24819004614536366, 0.4136054076086292, 0.2215600510211484]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "hard": [{"name": "rectangle", "size": [23.006, 19.16], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [32.644000000000005, 36.194], "center": [-8.881784197001252e-16, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.964, 63.466], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}, {"name": "hexagon", "size": [27.482, 31.732], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_116.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the rectangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "D", "hard": "D"}
2steps_easy_all_13	B	[['translate', [-30, -10]], ['flip', 'vertical']]	easy	{"instance_id": 13, "shape_A": {"name": "hexagon", "facecolor": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.63854756197547, 60.30875127132164]}, "shape_B": {"name": "circle", "facecolor": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218], "edgecolor": "black", "center": [-3.552713678800501e-16, -7.105427357601002e-16], "size": [66.33240467589097, 66.33240467589097]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_13.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_13.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.29057949547925066, 0.3452935808985811, 0.672373713051317]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [43.016, 42.008], "center": [1.3322676295501878e-16, 7.500000000106865e-05], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [74.642, 73.044], "center": [-8.881784197001252e-16, -2.7089441800853818e-15], "color": [0.9813354962348673, 0.6500863878069779, 0.9583264528051965]}], "medium": [{"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [75.96799999999999, 78.316], "center": [4.618527782440651e-15, 0.0], "color": [0.7761467451223322, 0.9642898231260307, 0.29417772180449153]}, {"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [33.166, 33.166], "center": [-0.0002000000000005997, -0.00024999999999941735], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}], "hard": [{"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [11.595943423889608, 66.332], "center": [-0.00016685496622121932, 1.1918211868078288e-05], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [37.79, 41.06], "center": [6.217248937900876e-16, 6.217248937900876e-16], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [69.638, 60.30800000000001], "center": [-30.0, -10.000000000000002], "color": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693]}, {"name": "hexagon", "size": [69.638, 60.30800000000001], "center": [30.0, -10.000000000000002], "color": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [66.332, 66.332], "center": [-30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_13.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_13.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_13.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_13.png", "instructions": [["translate", [-30, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "B", "medium": "A", "hard": "B"}
2steps_easy_all_86	A	[['translate', [10, -30]], ['translate', [-30, -10]]]	easy	{"instance_id": 86, "shape_A": {"name": "triangle", "facecolor": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.7763568394002505e-15], "size": [23.110022771055725, 57.89494049246858]}, "shape_B": {"name": "circle", "facecolor": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239], "edgecolor": "black", "center": [-1.2434497875801752e-15, 1.7763568394002506e-16], "size": [69.31820306124776, 69.31820306124776]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_86.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_86.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_86.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_86.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_86.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_86.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_86.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [34.66, 34.66], "center": [1.2434497875801752e-15, 8.881784197001253e-17], "color": [0.6521310465039827, 0.5956464294000907, 0.4605791410599981]}, {"name": "circle", "size": [95.82, 83.206], "center": [-1.9539925233402757e-15, -4.440892098500626e-15], "color": [0.6595304637060485, 0.5009748399904048, 0.3584993605885254]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "medium": [{"name": "circle", "size": [45.683, 48.22], "center": [-0.0002999999999977465, -2.4999999997987742e-05], "color": [0.1760972106755182, 0.03427483895444505, 0.47916740886305564]}, {"name": "circle", "size": [35.556, 34.66], "center": [0.00015000000000036094, 0.00017499999999999184], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "hard": [{"name": "circle", "size": [41.648, 42.792], "center": [0.00020000000000015562, -0.00022499999999867626], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [34.66, 34.66], "center": [-1.7763568394002506e-16, 4.4408920985006264e-17], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [23.11, 57.894999999999996], "center": [9.999666666666668, -30.0], "color": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781]}, {"name": "triangle", "size": [23.11, 57.894999999999996], "center": [-20.000333333333334, -40.0], "color": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.318, 69.31800000000001], "center": [10.0, -29.999999999999993], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_86.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_86.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_86.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_86.png", "instructions": [["translate", [10, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "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 significantly downward. <shapeB_step_0>\n- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "A", "medium": "C", "hard": "B"}
2steps_easy_all_111	A	[['shear', [-0.05056976333856911, 0.28613870174604195]], ['translate', [10, 10]]]	easy	{"instance_id": 111, "shape_A": {"name": "hexagon", "facecolor": [0.9402600816039058, 0.5650056198842929, 0.7912172784330742], "edgecolor": "black", "center": [0.0, 0.0], "size": [62.35609633309233, 54.001963505287634]}, "shape_B": {"name": "square", "facecolor": [0.18962645346688867, 0.9480661254117279, 0.04927026843919724], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.011058393345735, 31.011058393345735]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_111.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_111.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_111.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_111.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_111.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_111.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_111.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_111.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [32.58, 39.884], "center": [10.0, 10.0], "color": [0.18962645346688867, 0.9480661254117279, 0.04927026843919724]}, {"name": "square", "size": [42.361999999999995, 42.361999999999995], "center": [8.881784197001252e-16, -8.881784197001252e-16], "color": [0.2881005515765601, 0.9376094050506064, 0.1797244765545234]}, {"name": "square", "size": [32.58, 39.884], "center": [0.0, -4.440892098500626e-16], "color": [0.33755323529609027, 0.3099846434400697, 0.9267522477115638]}, {"name": "square", "size": [15.506, 15.506], "center": [0.0, 0.0], "color": [0.18962645346688867, 0.9480661254117279, 0.04927026843919724]}], "medium": [{"name": "square", "size": [32.58, 39.884], "center": [10.0, 10.0], "color": [0.18962645346688867, 0.9480661254117279, 0.04927026843919724]}, {"name": "square", "size": [15.506, 15.506], "center": [0.0, 0.0], "color": [0.18962645346688867, 0.9480661254117279, 0.04927026843919724]}, {"name": "square", "size": [42.36, 42.36], "center": [0.0, 0.0], "color": [0.6679575362807944, 0.0875341292391344, 0.2878234073671787]}, {"name": "square", "size": [32.58, 39.884], "center": [0.0, -4.440892098500626e-16], "color": [0.18962645346688867, 0.9480661254117279, 0.04927026843919724]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [62.356, 62.924], "center": [0.0, -5.921189464667501e-16], "color": [0.9402600816039058, 0.5650056198842929, 0.7912172784330742]}, {"name": "hexagon", "size": [62.355999999999995, 62.92400000000001], "center": [9.999999999999998, 9.999999999999998], "color": [0.9402600816039058, 0.5650056198842929, 0.7912172784330742]}], "tranformed_B_sequence_info": [{"name": "square", "size": [32.58, 39.884], "center": [0.0, -4.440892098500626e-16], "color": [0.18962645346688867, 0.9480661254117279, 0.04927026843919724]}, {"name": "square", "size": [32.58, 39.884], "center": [10.0, 10.0], "color": [0.18962645346688867, 0.9480661254117279, 0.04927026843919724]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_111.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_111.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_111.png", "instructions": [["shear", [-0.05056976333856911, 0.28613870174604195]], ["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "A"}, "text_instructions": "N/A"}	{"easy": "A", "medium": "A"}
2steps_easy_all_69	D	[['shear', [-0.8666126204507754, 0.798708102484952]], ['shear', [0.44781756593490285, 0.6781981230731879]]]	easy	{"instance_id": 69, "shape_A": {"name": "circle", "facecolor": [0.5730369040509169, 0.49826536059543347, 0.6391582858066321], "edgecolor": "black", "center": [-1.0658141036401502e-15, -1.4654943925052066e-15], "size": [66.00464612058977, 66.00464612058977]}, "shape_B": {"name": "ellipse", "facecolor": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043], "edgecolor": "black", "center": [-8.881784197001253e-17, 3.8857805861880476e-17], "size": [30.087811182016278, 20.956048996909857]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_69.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_69.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_69.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_69.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_69.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_69.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_69.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_69.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_69.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [29.812, 21.572], "center": [-5.773159728050814e-16, 1.2212453270876722e-15], "color": [0.6428250324770398, 0.7225715707885935, 0.3767438733311854]}, {"name": "ellipse", "size": [14.01, 11.762], "center": [-3.9968028886505636e-16, -2.6645352591003756e-16], "color": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043]}, {"name": "ellipse", "size": [35.054, 31.81], "center": [-7.105427357601002e-16, -6.661338147750939e-16], "color": [0.16831526883746706, 0.8915002303523041, 0.031127972430204265]}, {"name": "ellipse", "size": [41.72, 45.242], "center": [-2.6645352591003756e-16, -6.217248937900876e-16], "color": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043]}], "medium": [{"name": "ellipse", "size": [20.956000000000003, 30.087999999999997], "center": [-5.329070518200751e-16, 3.552713678800501e-16], "color": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043]}, {"name": "ellipse", "size": [35.054, 31.81], "center": [-7.105427357601002e-16, -6.661338147750939e-16], "color": [0.29490104898020175, 0.14668141220773745, 0.38148480522132433]}, {"name": "ellipse", "size": [41.72, 45.242], "center": [-2.6645352591003756e-16, -6.217248937900876e-16], "color": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043]}, {"name": "ellipse", "size": [15.043999999999997, 10.478000000000002], "center": [-1.7763568394002506e-16, 6.661338147750939e-17], "color": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043]}], "hard": [{"name": "ellipse", "size": [35.054, 31.81], "center": [-7.105427357601002e-16, -6.661338147750939e-16], "color": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043]}, {"name": "ellipse", "size": [15.044, 10.478], "center": [0.0, -4.718447854656915e-17], "color": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043]}, {"name": "ellipse", "size": [23.526, 28.019999999999996], "center": [-5.773159728050814e-16, 2.6645352591003756e-16], "color": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043]}, {"name": "ellipse", "size": [41.72, 45.242], "center": [-2.6645352591003756e-16, -6.217248937900876e-16], "color": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [87.12, 84.386], "center": [0.0, 7.105427357601002e-16], "color": [0.5730369040509169, 0.49826536059543347, 0.6391582858066321]}, {"name": "circle", "size": [93.768, 101.12], "center": [3.552713678800501e-16, -5.329070518200751e-16], "color": [0.5730369040509169, 0.49826536059543347, 0.6391582858066321]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [35.054, 31.81], "center": [-7.105427357601002e-16, -6.661338147750939e-16], "color": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043]}, {"name": "ellipse", "size": [41.72, 45.242], "center": [-2.6645352591003756e-16, -6.217248937900876e-16], "color": [0.16858578262647284, 0.6169912535769839, 0.2702648501630043]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_69.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_69.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_69.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_69.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_69.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_69.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_69.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_69.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_69.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_69.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_69.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_69.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_69.png", "instructions": [["shear", [-0.8666126204507754, 0.798708102484952]], ["shear", [0.44781756593490285, 0.6781981230731879]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "N/A"}	{"easy": "D", "medium": "C", "hard": "D"}
2steps_easy_all_11	A	[['translate', [10, 30]], ['scale', 0.5]]	easy	{"instance_id": 11, "shape_A": {"name": "ellipse", "facecolor": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046], "edgecolor": "black", "center": [-4.440892098500626e-16, 2.7755575615628914e-17], "size": [34.59015534670558, 23.523169726100182]}, "shape_B": {"name": "triangle", "facecolor": [0.740944798920008, 0.7594932952262566, 0.8671889705502257], "edgecolor": "black", "center": [2.3684757858670005e-15, -5.921189464667501e-16], "size": [52.975039803812166, 46.93491895097725]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_11.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.2143185873114406, 0.22135107701554813, 0.2251120409197751]}, {"name": "triangle", "size": [15.331, 31.392000000000003], "center": [-0.07583333333333186, 3.575000000000001], "color": [0.04965104284068489, 0.8538213265855465, 0.7798301351436794]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "medium": [{"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.7127404881047043, 0.709368196448239, 0.2753785582170396]}, {"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "hard": [{"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.59, 23.524], "center": [10.000000000000002, 30.000000000000007], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}, {"name": "ellipse", "size": [17.294999999999998, 11.762], "center": [10.000024999999999, 30.00015], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [52.975, 46.935], "center": [10.000333333333334, 30.0], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_11.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_11.png", "instructions": [["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and significantly upward. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "A", "medium": "D", "hard": "D"}
2steps_easy_all_75	D	[['translate', [-30, 10]], ['rotate', -60]]	easy	{"instance_id": 75, "shape_A": {"name": "ellipse", "facecolor": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156], "edgecolor": "black", "center": [-4.440892098500626e-16, -2.831068712794149e-16], "size": [32.94666450665948, 22.631616809247262]}, "shape_B": {"name": "triangle", "facecolor": [0.954358485726285, 0.20291821457172288, 0.057020052366765106], "edgecolor": "black", "center": [2.3684757858670005e-15, 2.9605947323337506e-16], "size": [45.21850340862652, 61.32156296152745]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_75.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [22.609, 30.660999999999998], "center": [0.7951666666666668, -1.2491666666666665], "color": [0.45799852793517837, 0.003745882748178664, 0.3474825986576122]}, {"name": "triangle", "size": [27.031, 66.797], "center": [2.1888333333333336, 7.418499999999999], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.7178077416143416, 0.07365014399221659, 0.828208758407564]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}], "medium": [{"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [33.398, 13.516], "center": [3.709, -1.0943333333333334], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [23.567396410018418, 58.238], "center": [1.9083682750223308, -6.467934233573364], "color": [0.48284594380435386, 0.5827123387789055, 0.5716571664062963]}], "hard": [{"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 26.67710182355163], "center": [5.697377794567121, 2.0920164840825577], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [61.322, 45.218], "center": [2.498333333333333, 1.5903333333333336], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.946, 22.631999999999998], "center": [-30.0, 10.000000000000004], "color": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156]}, {"name": "ellipse", "size": [25.540000000000003, 30.634], "center": [-29.99997499999999, 9.999999999999998], "color": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [45.219, 61.321], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_75.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_75.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, 10]], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "D", "medium": "A", "hard": "B"}
2steps_easy_all_54	B	[['rotate', -30], ['translate', [-30, 30]]]	easy	{"instance_id": 54, "shape_A": {"name": "triangle", "facecolor": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [19.810842699890337, 56.45566140335922]}, "shape_B": {"name": "hexagon", "facecolor": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571], "edgecolor": "black", "center": [0.0, 0.0], "size": [61.61899126996609, 53.363611795362175]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [61.617999999999995, 53.364000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [26.682000000000002, 30.810000000000002], "center": [0.0, -5.921189464667501e-16], "color": [0.9688390034529459, 0.41768404723282604, 0.9697124653116701]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.05587708478340869, 0.4058628049282732, 0.8847980973763346]}], "medium": [{"name": "hexagon", "size": [30.810000000000002, 26.682000000000002], "center": [-8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [61.618, 53.364], "center": [-5.921189464667501e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.7858304635505055, 0.6654645959842609, 0.9196351530309665]}], "hard": [{"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 47.70006154045896], "center": [1.1842378929335002e-15, 2.3684757858670005e-15], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [30.81, 26.682000000000002], "center": [0.0, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [42.733000000000004, 44.266], "center": [0.0, 0.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}, {"name": "triangle", "size": [42.733000000000004, 44.266000000000005], "center": [-30.0, 30.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_54.png", "instructions": [["rotate", -30], ["translate", [-30, 30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "B", "medium": "C", "hard": "A"}
2steps_easy_all_117	A	[['translate', [30, -30]], ['scale', 0.5]]	easy	{"instance_id": 117, "shape_A": {"name": "ellipse", "facecolor": [0.7218298009143069, 0.237713172425009, 0.5423320422772745], "edgecolor": "black", "center": [-2.220446049250313e-16, -1.3988810110276972e-15], "size": [32.0013952532714, 22.21799979044379]}, "shape_B": {"name": "hexagon", "facecolor": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.87508092385881, 53.58539194127964]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_117.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_117.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_117.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_117.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_117.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_117.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_117.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.9952458958033793, 0.43834090334037057, 0.0007170637618100217]}, {"name": "hexagon", "size": [53.586, 61.876000000000005], "center": [0.0, -5.921189464667501e-16], "color": [0.03433766741658173, 0.5310529134625389, 0.5349079969643663]}], "medium": [{"name": "hexagon", "size": [10.894293268075252, 26.792000000000005], "center": [-2.220446049250313e-16, -5.181040781584064e-16], "color": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "hard": [{"name": "hexagon", "size": [65.422, 82.538], "center": [3.7007434154171886e-16, -1.1842378929335002e-15], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.001999999999995, 22.218000000000004], "center": [30.00000000000001, -29.999999999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}, {"name": "ellipse", "size": [16.0, 11.109000000000002], "center": [30.00014999999999, -29.999774999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_117.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_117.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_117.png", "instructions": [["translate", [30, -30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "A", "medium": "D", "hard": "B"}
2steps_easy_all_27	D	[['translate', [-30, 0]], ['translate', [-30, 30]]]	easy	{"instance_id": 27, "shape_A": {"name": "square", "facecolor": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.695084533859536, 34.695084533859536]}, "shape_B": {"name": "pentagon", "facecolor": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006], "edgecolor": "black", "center": [0.0, 7.105427357601002e-16], "size": [59.73683176822594, 62.81102199996603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_27.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_27.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_27.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_27.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [73.94800000000001, 69.25999999999999], "center": [-0.14180000000000065, 3.2359999999999984], "color": [0.18502802264390872, 0.86235217136227, 0.18885992146773622]}, {"name": "pentagon", "size": [35.992000000000004, 32.518], "center": [1.4848000000000003, 1.4091999999999998], "color": [0.4905183832597364, 0.729479992243697, 0.6475642717036921]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "medium": [{"name": "pentagon", "size": [75.02099999999999, 69.733], "center": [0.5855000000000004, 1.8445], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [30.652, 32.846000000000004], "center": [-1.4310000000000003, 0.5589999999999989], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.9576157713949134, 0.9209041007619821, 0.0595773898911619]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.696, 34.696], "center": [-30.0, 0.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}, {"name": "square", "size": [34.696, 34.696], "center": [-60.0, 30.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [59.737, 62.812], "center": [-30.0, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_27.png", "instructions": [["translate", [-30, 0]], ["translate", [-30, 30]]], "correct_answer": {"easy": "D", "medium": "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. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "D", "medium": "D"}
2steps_easy_all_29	B	[['rotate', -60], ['rotate', 90]]	easy	{"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.06667766630173, 59.81349741400862]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_29.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.9695415308611851, 0.5831588581279402, 0.4883073409886549]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [79.582, 82.294], "center": [-8.881784197001252e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.534000000000006, 29.906], "center": [1.7763568394002505e-15, 0.0], "color": [0.24751042926734867, 0.10938599739355226, 0.8189264388188036]}], "medium": [{"name": "hexagon", "size": [81.794, 84.926], "center": [0.0, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.533, 29.908], "center": [0.00033333333333285253, 0.0], "color": [0.049902046109985276, 0.1377187844382094, 0.8787220961098785]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "hard": [{"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [29.906000000000002, 34.534], "center": [1.1842378929335002e-15, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.81399999999999, 51.80138702111024], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.736, 37.646], "center": [-3.3306690738754696e-16, 0.0], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}, {"name": "rectangle", "size": [37.646, 34.736], "center": [0.0, -3.3306690738754696e-16], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_29.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_29.png", "instructions": [["rotate", -60], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "B", "medium": "C", "hard": "A"}
2steps_easy_all_64	B	[['rotate', 90], ['shear', [-0.7600039308987219, -0.6921630886393852]]]	easy	{"instance_id": 64, "shape_A": {"name": "ellipse", "facecolor": [0.8564475965576949, 0.42258744511749025, 0.7001587954524333], "edgecolor": "black", "center": [3.552713678800501e-16, -4.3298697960381104e-16], "size": [33.38083017231202, 24.398299232677743]}, "shape_B": {"name": "square", "facecolor": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.812683003758195, 33.812683003758195]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_64.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_64.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_64.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_64.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_64.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_64.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_64.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_64.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_64.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [46.188, 46.188], "center": [2.220446049250313e-16, 8.881784197001252e-16], "color": [0.3079609767403152, 0.26241452374768004, 0.4052251397618075]}, {"name": "square", "size": [59.51, 57.216], "center": [-4.440892098500626e-16, 2.220446049250313e-16], "color": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555]}, {"name": "square", "size": [33.812, 33.812], "center": [0.0, 0.0], "color": [0.2919367265532543, 0.0302070245612176, 0.717963298376322]}, {"name": "square", "size": [23.093999999999998, 23.094], "center": [-8.881784197001252e-16, 4.440892098500626e-16], "color": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555]}], "medium": [{"name": "square", "size": [33.812, 33.812], "center": [0.0, 0.0], "color": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555]}, {"name": "square", "size": [59.51, 57.216], "center": [-4.440892098500626e-16, 2.220446049250313e-16], "color": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555]}, {"name": "square", "size": [46.187999999999995, 46.188], "center": [-1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555]}, {"name": "square", "size": [16.906000000000002, 16.906000000000002], "center": [1.7763568394002505e-15, 1.7763568394002505e-15], "color": [0.386364628628028, 0.37690516526883955, 0.6408931037118979]}], "hard": [{"name": "square", "size": [46.188, 46.188], "center": [8.881784197001252e-16, 0.0], "color": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555]}, {"name": "square", "size": [33.812, 33.812], "center": [0.0, 0.0], "color": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555]}, {"name": "square", "size": [59.51, 57.216], "center": [-4.440892098500626e-16, 2.220446049250313e-16], "color": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555]}, {"name": "square", "size": [23.094, 23.093999999999998], "center": [2.220446049250313e-16, 8.881784197001252e-16], "color": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [24.398, 33.38], "center": [4.662936703425658e-16, 1.7763568394002506e-16], "color": [0.8564475965576949, 0.42258744511749025, 0.7001587954524333]}, {"name": "ellipse", "size": [35.192, 37.408], "center": [1.8207657603852566e-15, -1.5543122344752192e-15], "color": [0.8564475965576949, 0.42258744511749025, 0.7001587954524333]}], "tranformed_B_sequence_info": [{"name": "square", "size": [33.812, 33.812], "center": [0.0, 0.0], "color": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555]}, {"name": "square", "size": [59.51, 57.216], "center": [-4.440892098500626e-16, 2.220446049250313e-16], "color": [0.6376804658968213, 0.8481605278097636, 0.8438425039555555]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_64.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_64.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_64.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_64.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_64.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_64.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_64.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_64.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_64.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_64.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_64.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_64.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_64.png", "instructions": [["rotate", 90], ["shear", [-0.7600039308987219, -0.6921630886393852]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "N/A"}	{"easy": "B", "medium": "B", "hard": "C"}
2steps_easy_all_102	A	[['translate', [30, 10]], ['translate', [0, -10]]]	easy	{"instance_id": 102, "shape_A": {"name": "square", "facecolor": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.84968651398539, 31.84968651398539]}, "shape_B": {"name": "triangle", "facecolor": [0.858802885279082, 0.5077896100031754, 0.7118055904962444], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [60.62723258064484, 32.546004957385094]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_102.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_102.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_102.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_102.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [16.273000000000003, 30.313999999999997], "center": [-1.7348333333333332, 3.5060000000000016], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.7765232358157869, 0.43092578237318613, 0.26350739318181027]}, {"name": "triangle", "size": [48.529, 56.184], "center": [-5.280833333333333, -0.3200000000000001], "color": [0.22099686669935337, 0.9016378822168126, 0.9301292163785994]}], "medium": [{"name": "triangle", "size": [36.98594075805096, 32.54599999999999], "center": [-0.7585593751921778, 0.18780515753438684], "color": [0.622487038101449, 0.3362118742445869, 0.8307795328164884]}, {"name": "triangle", "size": [30.314, 16.273], "center": [-3.5060000000000002, -1.7348333333333354], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "hard": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [28.63949368641316, 32.546], "center": [0.1651683863674629, 0.6675229453784546], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [17.471746709332628, 32.546], "center": [-1.8626294219201884, 3.7642686636096685], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 10.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}, {"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 0.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 10.000333333333334], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_102.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_102.png", "instructions": [["translate", [30, 10]], ["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "A", "medium": "C", "hard": "D"}
2steps_easy_all_71	B	[['translate', [-30, -30]], ['translate', [-10, -10]]]	easy	{"instance_id": 71, "shape_A": {"name": "hexagon", "facecolor": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.91382467317439, 57.94907203134699]}, "shape_B": {"name": "circle", "facecolor": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694], "edgecolor": "black", "center": [2.7533531010703883e-15, -2.4202861936828413e-15], "size": [64.04244378456774, 64.04244378456774]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_71.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_71.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_71.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [78.186, 80.882], "center": [-8.881784197001253e-17, -5.329070518200751e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.01909331303423989, 0.9831039299064597, 0.40179533827613945]}, {"name": "circle", "size": [68.888, 74.749], "center": [1.2434497875801752e-15, -0.0001249999999992202], "color": [0.2560945549589283, 0.7385353415371732, 0.5663898001735471]}], "medium": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.267622688217965, 0.7454231087454316, 0.7296825037169442]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.396, 34.186], "center": [0.00017500000000101324, -7.499999999970308e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [77.942, 70.58], "center": [0.00017500000000101324, -8.881784197001253e-17], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "hard": [{"name": "circle", "size": [40.824, 44.812], "center": [6.217248937900876e-16, -5.0000000000594016e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.022, 32.022000000000006], "center": [-3.552713678800501e-16, 1.7763568394002506e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [66.914, 57.95], "center": [-30.0, -30.0], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}, {"name": "hexagon", "size": [66.91399999999999, 57.949999999999996], "center": [-40.0, -39.99999999999999], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.042, 64.042], "center": [-30.000000000000007, -29.999999999999993], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_71.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_71.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "B", "medium": "B", "hard": "C"}
2steps_easy_all_25	D	[['scale', 0.5], ['rotate', 90]]	easy	{"instance_id": 25, "shape_A": {"name": "ellipse", "facecolor": [0.6810664843571737, 0.25428803449433146, 0.602149326937957], "edgecolor": "black", "center": [1.1546319456101628e-15, -2.886579864025407e-16], "size": [32.11472429952858, 24.148747825133484]}, "shape_B": {"name": "hexagon", "facecolor": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.52871235399222, 54.151453364487125]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_25.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_25.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [62.528, 54.152], "center": [-2.9605947323337506e-16, 0.0], "color": [0.6963167072671622, 0.5249619887533956, 0.6545211917783339]}, {"name": "hexagon", "size": [54.152, 62.53], "center": [-5.921189464667501e-16, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [65.626, 70.356], "center": [0.0, 0.0], "color": [0.7330422359030663, 0.17063425612748628, 0.37465138872265835]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "medium": [{"name": "hexagon", "size": [54.152, 62.528000000000006], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [8.004678334339168, 31.263999999999996], "center": [-9.826996580160803e-05, 5.921189464667501e-16], "color": [0.665322278309207, 0.7892071678312036, 0.0418593443694848]}, {"name": "hexagon", "size": [62.528000000000006, 54.152], "center": [2.9605947323337506e-16, 0.0], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "hard": [{"name": "hexagon", "size": [54.152, 62.528], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [9.965451780581772, 31.264], "center": [-7.401486830834377e-17, -1.4802973661668753e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [69.608, 63.538], "center": [0.0, -5.921189464667501e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [16.058, 12.074], "center": [1.1102230246251565e-16, -1.7763568394002506e-16], "color": [0.6810664843571737, 0.25428803449433146, 0.602149326937957]}, {"name": "ellipse", "size": [12.074, 16.058], "center": [1.7763568394002506e-16, 1.1102230246251565e-16], "color": [0.6810664843571737, 0.25428803449433146, 0.602149326937957]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [31.264, 27.076], "center": [2.9605947323337506e-16, 0.0], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_25.png", "instructions": [["scale", 0.5], ["rotate", 90]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "D", "medium": "D", "hard": "D"}
2steps_easy_all_91	B	[['translate', [30, -30]], ['shear', [0.7669553078996998, 0.516983394248947]]]	easy	{"instance_id": 91, "shape_A": {"name": "circle", "facecolor": [0.6566410128654991, 0.41859109896940905, 0.15486328561727236], "edgecolor": "black", "center": [-1.7763568394002506e-16, 2.3314683517128287e-15], "size": [64.70480367330781, 64.70480367330781]}, "shape_B": {"name": "triangle", "facecolor": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128], "edgecolor": "black", "center": [0.0, -2.3684757858670005e-15], "size": [43.05886688327568, 56.826821665648424]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_91.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_91.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_91.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_91.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_91.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_91.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_91.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_91.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_91.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [56.828, 43.058], "center": [-1.814, 2.687], "color": [0.06400248399280895, 0.6982941670822117, 0.20879485645270257]}, {"name": "triangle", "size": [39.436, 41.53], "center": [-0.0003333333333337407, 0.0], "color": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128]}, {"name": "triangle", "size": [39.436, 41.53], "center": [1.9076666666666668, -6.685], "color": [0.18199506175055713, 0.4536784316068242, 0.6634882613349433]}, {"name": "triangle", "size": [28.593, 64.009], "center": [3.836166666666666, 3.1395000000000004], "color": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128]}], "medium": [{"name": "triangle", "size": [39.436, 41.53], "center": [-0.0003333333333337407, 0.0], "color": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128]}, {"name": "triangle", "size": [56.826, 43.058], "center": [-1.8140000000000012, 2.6863333333333337], "color": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128]}, {"name": "triangle", "size": [39.436, 41.53], "center": [1.9076666666666668, -6.685], "color": [0.701230570089786, 0.23999238660791045, 0.896258078978229]}, {"name": "triangle", "size": [21.529, 28.414], "center": [-1.3435, -0.907], "color": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128]}], "hard": [{"name": "triangle", "size": [39.436, 41.53], "center": [-0.0003333333333337407, 0.0], "color": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128]}, {"name": "triangle", "size": [31.466860350531427, 41.53], "center": [-1.9636642148236791, -1.3256743154782846], "color": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128]}, {"name": "triangle", "size": [70.836, 79.855], "center": [-6.686, 11.1725], "color": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128]}, {"name": "triangle", "size": [21.529, 28.414], "center": [-1.3434999999999977, -0.907], "color": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [64.704, 64.704], "center": [30.000000000000007, -30.0], "color": [0.6566410128654991, 0.41859109896940905, 0.15486328561727236]}, {"name": "circle", "size": [81.517, 72.839], "center": [0.0004249999999990983, -0.00047500000000177955], "color": [0.6566410128654991, 0.41859109896940905, 0.15486328561727236]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [43.059, 56.827], "center": [30.0, -29.99966666666667], "color": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128]}, {"name": "triangle", "size": [39.436, 41.53], "center": [-0.0003333333333337407, 0.0], "color": [0.5466489331888732, 0.16396538036045394, 0.5744463243860128]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_91.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_91.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_91.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_91.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_91.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_91.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_91.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_91.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_91.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_91.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_91.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_91.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_91.png", "instructions": [["translate", [30, -30]], ["shear", [0.7669553078996998, 0.516983394248947]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "N/A"}	{"easy": "B", "medium": "A", "hard": "A"}
2steps_easy_all_83	D	[['rotate', 30], ['scale', 0.5]]	easy	{"instance_id": 83, "shape_A": {"name": "square", "facecolor": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.17672188229552, 34.17672188229552]}, "shape_B": {"name": "hexagon", "facecolor": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.59823408801311, 59.407813374971]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_83.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_83.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_83.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_83.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_83.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_83.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [68.598, 59.408], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.04773867957137401, 0.1230693381260829, 0.3330258924025967]}, {"name": "hexagon", "size": [86.79400000000001, 72.872], "center": [0.0, 0.0], "color": [0.25226113544660544, 0.45485415949529595, 0.2287161854393761]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}], "medium": [{"name": "hexagon", "size": [75.148, 70.57400000000001], "center": [-5.921189464667501e-16, 2.3684757858670005e-15], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [68.59800000000001, 59.408], "center": [-4.144832625267251e-15, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.7497046666984698, 0.9401172130049587, 0.46001191863997726]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [46.686, 46.686], "center": [0.0, 2.220446049250313e-16], "color": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744]}, {"name": "square", "size": [23.344, 23.344], "center": [0.0, 0.00025000000000030553], "color": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_83.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_83.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_83.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "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- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "D", "medium": "C"}
2steps_easy_all_89	B	[['translate', [30, -10]], ['translate', [10, 30]]]	easy	{"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.580039808982136, 34.580039808982136]}, "shape_B": {"name": "rectangle", "facecolor": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.118784938666483, 23.606510574636424]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_89.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8178975822866777, 0.5881661976478377, 0.6351931009826685]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [18.944, 17.752], "center": [1.1102230246251565e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [37.702, 42.17], "center": [-8.881784197001252e-16, -1.3877787807814457e-16], "color": [0.6490534260394974, 0.6858670803730986, 0.7549091926683313]}], "medium": [{"name": "rectangle", "size": [37.885999999999996, 35.502], "center": [8.881784197001252e-16, 0.0], "color": [0.6467323782040696, 0.8861165257566785, 0.9508078565096065]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [15.06, 11.804], "center": [0.0, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}], "hard": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [35.502, 37.886], "center": [0.0, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [11.803999999999998, 15.06], "center": [-4.440892098500626e-16, -8.881784197001252e-16], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.58, 34.58], "center": [30.0, -10.0], "color": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379]}, {"name": "square", "size": [34.58, 34.58], "center": [40.0, 20.0], "color": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [30.0, -10.000000000000002], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_89.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_89.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_89.png", "instructions": [["translate", [30, -10]], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the rectangle a little to the right and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "B", "medium": "B", "hard": "D"}
2steps_easy_all_107	C	[['translate', [-10, 0]], ['rotate', 30]]	easy	{"instance_id": 107, "shape_A": {"name": "ellipse", "facecolor": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949], "edgecolor": "black", "center": [-1.7763568394002506e-16, -1.9984014443252818e-16], "size": [34.033434761006156, 22.14444038381347]}, "shape_B": {"name": "circle", "facecolor": [0.5524449592789532, 0.739848035268453, 0.27790397963115987], "edgecolor": "black", "center": [2.4868995751603505e-15, -1.5321077739827161e-15], "size": [65.96650335272558, 65.96650335272558]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_107.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_107.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_107.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_107.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_107.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_107.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_107.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [79.832, 76.394], "center": [-1.3322676295501878e-15, -0.00015000000000160442], "color": [0.8432780839676276, 0.7868459657567801, 0.4661218588678179]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.960540391190263, 0.03953837598150145, 0.7093700706863554]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [45.537, 42.689], "center": [0.0001499999999991175, -0.0003999999999985349], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "medium": [{"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [100.0, 86.5940601859146], "center": [-2.1316282072803005e-15, 3.552713678800501e-16], "color": [0.6344073530297935, 0.47058207938789454, 0.4456150952095499]}, {"name": "circle", "size": [88.923, 81.892], "center": [0.0005250000000016186, 4.99999999980183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "hard": [{"name": "circle", "size": [69.40100000000001, 75.604], "center": [-2.4999999996211385e-05, 0.0001249999999988205], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [35.16, 33.398], "center": [7.993605777301127e-16, -3.9968028886505636e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.034, 22.144], "center": [-9.999999999999998, 3.7192471324942745e-16], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}, {"name": "ellipse", "size": [31.454, 25.594], "center": [-9.999999999999998, 1.3322676295501878e-15], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [65.966, 65.966], "center": [-10.0, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_107.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_107.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_107.png", "instructions": [["translate", [-10, 0]], ["rotate", 30]], "correct_answer": {"easy": "C", "medium": "B", "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 left. <shapeB_step_0>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "C", "medium": "B", "hard": "D"}
2steps_easy_all_113	C	[['rotate', -90], ['rotate', -30]]	easy	{"instance_id": 113, "shape_A": {"name": "rectangle", "facecolor": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.868187468576263, 21.258376675122513]}, "shape_B": {"name": "triangle", "facecolor": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826], "edgecolor": "black", "center": [1.7763568394002505e-15, 0.0], "size": [14.163207897571025, 60.26182739498849]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_113.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_113.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_113.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_113.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_113.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_113.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_113.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.9174013412547419, 0.8976848217443251, 0.048716666844519474]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [58.44800000000001, 56.611999999999995], "center": [-7.453999999999998, 6.498999999999999], "color": [0.9578606371994135, 0.812767027978977, 0.5577051205301008]}], "medium": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.42071836245344063, 0.7434459968681485, 0.3892564707564702]}, {"name": "triangle", "size": [20.097, 32.805], "center": [0.27383333333333315, -5.337833333333333], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "hard": [{"name": "triangle", "size": [7.299366997444494, 31.058000000000007], "center": [0.4778457789873111, 4.215316152799443], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [21.258, 30.868], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}, {"name": "rectangle", "size": [33.844, 37.362], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.262, 14.163], "center": [0.0, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_113.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_113.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_113.png", "instructions": [["rotate", -90], ["rotate", -30]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "C", "medium": "D", "hard": "B"}
2steps_easy_all_57	B	[['translate', [-10, 30]], ['translate', [-10, 30]]]	easy	{"instance_id": 57, "shape_A": {"name": "square", "facecolor": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.647300805864646, 32.647300805864646]}, "shape_B": {"name": "hexagon", "facecolor": [0.396029667470992, 0.8729681752351013, 0.003848845673840251], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.17929849344874, 55.58090289239097]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_57.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_57.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_57.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_57.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_57.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_57.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_57.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.0008204800870083018, 0.07438559226596286, 0.15505254018175607]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.79, 32.09], "center": [0.0, -0.0003333333333337407], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [55.58, 64.18], "center": [0.0, 0.0], "color": [0.43405344003550683, 0.3047027957821804, 0.776971482550056]}], "medium": [{"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.79, 32.09], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [55.58, 64.18], "center": [0.0, 0.0], "color": [0.006273944935232811, 0.8988539571637837, 0.5382262656289836]}], "hard": [{"name": "hexagon", "size": [48.132383920224356, 55.58000000000001], "center": [2.3684757858670005e-15, -5.921189464667501e-16], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.790000000000003, 32.09], "center": [-1.1842378929335002e-15, 0.0003333333333337407], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.648, 32.647999999999996], "center": [-10.0, 30.0], "color": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575]}, {"name": "square", "size": [32.647999999999996, 32.647999999999996], "center": [-20.0, 60.0], "color": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [64.18, 55.58], "center": [-10.000000000000002, 30.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_57.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_57.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_57.png", "instructions": [["translate", [-10, 30]], ["translate", [-10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the left and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "B", "medium": "A", "hard": "D"}
2steps_easy_all_105	A	[['scale', 0.5], ['translate', [-30, -30]]]	easy	{"instance_id": 105, "shape_A": {"name": "circle", "facecolor": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.7097434579227411e-15], "size": [66.063639289599, 66.063639289599]}, "shape_B": {"name": "hexagon", "facecolor": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.71771346058608, 56.9132093354941]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_105.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_105.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_105.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_105.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_105.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_105.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_105.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 56.914], "center": [1.7763568394002505e-15, 0.0], "color": [0.9588480152231209, 0.10518122138953323, 0.3358515532821599]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.13413166029498458, 0.3856971748659048, 0.1294421693752802]}, {"name": "hexagon", "size": [56.912, 65.716], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "medium": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 58.91], "center": [5.921189464667501e-16, 5.921189464667501e-16], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, 1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.4511268333137989, 0.23875806759160678, 0.8633164017267867]}], "hard": [{"name": "hexagon", "size": [65.716, 56.912000000000006], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, -1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [33.032, 33.032], "center": [-8.881784197001253e-17, -9.43689570931383e-16], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}, {"name": "circle", "size": [33.032, 33.032], "center": [-29.99999999999999, -30.0], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_105.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_105.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_105.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_105.png", "instructions": [["scale", 0.5], ["translate", [-30, -30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "A", "medium": "A", "hard": "B"}
2steps_easy_all_115	B	[['translate', [-10, -10]], ['rotate', 60]]	easy	{"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.351615522514766, 30.351615522514766]}, "shape_B": {"name": "rectangle", "facecolor": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.654204961769885, 22.17193081035603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.8843106463953841, 0.3845919597765035, 0.992382997611231]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [18.818, 17.264], "center": [0.0, 0.0], "color": [0.9544484660995831, 0.06595671535255854, 0.08502888533807029]}], "medium": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.172, 30.653999999999996], "center": [0.0, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.7311612379427683, 0.6841534816362329, 0.06681407266419448]}], "hard": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.171999999999997, 30.656], "center": [0.0, 0.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.351999999999997, 30.351999999999997], "center": [-10.0, -9.999999999999998], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}, {"name": "square", "size": [41.462, 41.462], "center": [-10.0, -10.0], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_115.png", "instructions": [["translate", [-10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly downward. <shapeB_step_0>\n- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "B", "medium": "B", "hard": "B"}
2steps_easy_all_0	B	[['scale', 0.5], ['translate', [30, 0]]]	easy	{"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [3.552713678800501e-16, 7.105427357601002e-16], "size": [59.73126308469467, 62.805166739594156]}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [3.552713678800501e-16, 4.662936703425658e-16], "size": [66.98139394988227, 66.98139394988227]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_0.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.28999999999999, 66.982], "center": [8.881784197001252e-16, -1.865174681370263e-15], "color": [0.38012622503916615, 0.4534103023684355, 0.8341104266407503]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [91.986, 82.59800000000001], "center": [1.5099033134902129e-15, 0.0], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.1626540971560848, 0.3552707002275215, 0.6701751743776934]}], "medium": [{"name": "circle", "size": [43.34, 41.682], "center": [-5.000000000072724e-05, -0.00015000000000080503], "color": [0.9538159275210801, 0.8758529403781941, 0.26338905075109076]}, {"name": "circle", "size": [78.344, 75.52600000000001], "center": [1.7763568394002505e-15, 1.9539925233402757e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [0.00020000000000024442, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}, {"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [30.0002, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_0.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_0.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5], ["translate", [30, 0]]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle to the right by a significant amount. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}	{"easy": "B", "medium": "C"}