qid
stringlengths 16
20
| question
stringlengths 330
565
| choices
imagewidth (px) 2.36k
2.36k
| images
images listlengths 1
1
| answer
stringclasses 4
values | transformations
stringlengths 16
81
| difficulty_level
stringclasses 3
values | question_info
stringlengths 2.12k
3.28k
| answer_info
stringlengths 13
41
|
|---|---|---|---|---|---|---|---|---|
3steps_hard_no_54 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left and significantly downward. <shapeB_step_0>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-10, -30]], ['flip', 'horizontal'], ['flip', 'horizontal']] | hard | {"instance_id": 54, "shape_A": {"name": "hexagon", "facecolor": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783], "edgecolor": "black", "center": [0, 0], "size": 32.54417513685558}, "shape_B": {"name": "triangle", "facecolor": [0.468926302758369, 0.9565237556255114, 0.577043455530469], "edgecolor": "black", "center": [0, 0], "size": 30.111125984559706}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_54.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_54.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_54.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_54.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_54.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_54.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_54.png", "instructions": [["translate", [-10, -30]], ["flip", "horizontal"], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and significantly downward. <shapeB_step_0>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "A", "hard": "B"} |
||
3steps_hard_no_114 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_0>
- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>
- Shift the triangle to the left by a significant amount and significantly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', -30], ['rotate', -30], ['translate', [-30, -30]]] | hard | {"instance_id": 114, "shape_A": {"name": "pentagon", "facecolor": [0.32303095017618666, 0.05915689531820456, 0.12877352494042116], "edgecolor": "black", "center": [0, 0], "size": 30.455587054310186}, "shape_B": {"name": "triangle", "facecolor": [0.3127857415578048, 0.8403052433790611, 0.6774891677637993], "edgecolor": "black", "center": [0, 0], "size": 30.144679274179378}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_114.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_114.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_114.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_114.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_114.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_114.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_114.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_114.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_114.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_114.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_114.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_114.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_114.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_114.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_114.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_114.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_114.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_114.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_114.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_114.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_114.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_114.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_114.png", "instructions": [["rotate", -30], ["rotate", -30], ["translate", [-30, -30]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>\n- Shift the triangle to the left by a significant amount and significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "D", "hard": "B"} |
||
3steps_hard_no_46 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle a little to the left. <shapeB_step_0>
- Shift the triangle a little to the left and significantly upward. <shapeB_step_1>
- Reduce the size of the triangle, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-10, 0]], ['translate', [-10, 30]], ['scale', 0.5]] | hard | {"instance_id": 46, "shape_A": {"name": "circle", "facecolor": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979], "edgecolor": "black", "center": [0, 0], "size": 33.99243616662593}, "shape_B": {"name": "triangle", "facecolor": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128], "edgecolor": "black", "center": [0, 0], "size": 31.12412428269297}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_46.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_46.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_46.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_46.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_46.png", "instructions": [["translate", [-10, 0]], ["translate", [-10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left. <shapeB_step_0>\n- Shift the triangle a little to the left and significantly upward. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "B", "hard": "C"} |
||
3steps_hard_no_63 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Reduce the size of the ellipse, making it smaller. <shapeB_step_0>
- Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['scale', 0.5], ['rotate', 90], ['translate', [-30, 30]]] | hard | {"instance_id": 63, "shape_A": {"name": "pentagon", "facecolor": [0.39633902490542516, 0.47417063642409796, 0.28660573448381255], "edgecolor": "black", "center": [0, 0], "size": 32.137487383689255}, "shape_B": {"name": "ellipse", "facecolor": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546], "edgecolor": "black", "center": [0, 0], "size": [34.583948838339225, 24.777557527999]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_63.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_63.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_63.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_63.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_63.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_63.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_63.png", "answer_choices": {"medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_63.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_63.png"}, "individual_answer_choices_path": {"medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_63.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_63.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_63.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_63.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_63.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_63.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_63.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_63.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_63.png", "instructions": [["scale", 0.5], ["rotate", 90], ["translate", [-30, 30]]], "correct_answer": {"medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the ellipse, making it smaller. <shapeB_step_0>\n- Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"medium": "C", "hard": "D"} |
||
3steps_hard_no_96 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the right and slightly upward. <shapeB_step_0>
- Shift the circle a little to the left and significantly downward. <shapeB_step_1>
- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [10, 10]], ['translate', [-10, -30]], ['rotate', -60]] | hard | {"instance_id": 96, "shape_A": {"name": "rectangle", "facecolor": [0.30832699302251243, 0.3075283277859332, 0.8676148596676885], "edgecolor": "black", "center": [0, 0], "size": [34.485957128789444, 24.36880658090851]}, "shape_B": {"name": "circle", "facecolor": [0.0670853350563112, 0.054795148630092494, 0.0672327147147167], "edgecolor": "black", "center": [0, 0], "size": 31.410129930939956}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_96.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_96.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_96.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_96.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_96.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_96.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_96.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_96.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_96.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_96.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_96.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_96.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_96.png", "instructions": [["translate", [10, 10]], ["translate", [-10, -30]], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly upward. <shapeB_step_0>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_1>\n- Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "D", "hard": "D"} |
||
3steps_hard_no_14 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon a little to the left and slightly upward. <shapeB_step_0>
- Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_1>
- Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-10, 10]], ['translate', [30, -10]], ['rotate', 90]] | hard | {"instance_id": 14, "shape_A": {"name": "ellipse", "facecolor": [0.05660477429555666, 0.26697826944429437, 0.7855321925948217], "edgecolor": "black", "center": [0, 0], "size": [32.809424916835184, 21.121536930740355]}, "shape_B": {"name": "pentagon", "facecolor": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732], "edgecolor": "black", "center": [0, 0], "size": 31.94443331053836}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_14.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_14.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_14.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_14.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_14.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_14.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_14.png", "instructions": [["translate", [-10, 10]], ["translate", [30, -10]], ["rotate", 90]], "correct_answer": {"easy": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon a little to the left and slightly upward. <shapeB_step_0>\n- Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_1>\n- Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "hard": "B"} |
||
3steps_hard_no_20 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>
- Shift the triangle slightly upward. <shapeB_step_1>
- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['translate', [-30, 30]], ['translate', [0, 10]], ['flip', 'vertical']] | hard | {"instance_id": 20, "shape_A": {"name": "hexagon", "facecolor": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394], "edgecolor": "black", "center": [0, 0], "size": 30.464580871643538}, "shape_B": {"name": "triangle", "facecolor": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406], "edgecolor": "black", "center": [0, 0], "size": 34.61391995682355}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_20.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_20.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_20.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_20.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_20.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_20.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_20.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_20.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_20.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_20.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_20.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_20.png", "instructions": [["translate", [-30, 30]], ["translate", [0, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Shift the triangle slightly upward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "C", "hard": "A"} |
||
3steps_hard_no_87 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>
- Shift the circle a little to the left and slightly downward. <shapeB_step_1>
- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, -30]], ['translate', [-10, -10]], ['translate', [-30, -10]]] | hard | {"instance_id": 87, "shape_A": {"name": "hexagon", "facecolor": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467], "edgecolor": "black", "center": [0, 0], "size": 33.456912336587195}, "shape_B": {"name": "circle", "facecolor": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694], "edgecolor": "black", "center": [0, 0], "size": 32.02122189228387}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_87.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_87.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_87.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_87.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_87.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_87.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_87.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_87.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_87.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_87.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_87.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_87.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_87.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]], ["translate", [-30, -10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "B", "hard": "D"} |
||
3steps_hard_no_116 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the rectangle, making it smaller. <shapeB_step_0>
- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the rectangle a little to the left and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['scale', 0.5], ['rotate', 30], ['translate', [-10, 30]]] | hard | {"instance_id": 116, "shape_A": {"name": "ellipse", "facecolor": [0.14983581719146077, 0.22054649121071468, 0.522659341815168], "edgecolor": "black", "center": [0, 0], "size": [31.158770268227133, 21.83825253166706]}, "shape_B": {"name": "rectangle", "facecolor": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626], "edgecolor": "black", "center": [0, 0], "size": [34.361434348036404, 21.038296870536314]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_116.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_116.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_116.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_116.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_116.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_116.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_116.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_116.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_116.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_116.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_116.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_116.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_116.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_116.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_116.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_116.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_116.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_116.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_116.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_116.png", "instructions": [["scale", 0.5], ["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the rectangle a little to the left and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "B", "hard": "D"} |
||
3steps_hard_no_76 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Reduce the size of the hexagon, making it smaller. <shapeB_step_0>
- Increase the size of the hexagon, making it larger. <shapeB_step_1>
- Shift the hexagon a little to the right and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['scale', 0.5], ['scale', 2.0], ['translate', [10, 10]]] | hard | {"instance_id": 76, "shape_A": {"name": "triangle", "facecolor": [0.025153213047019563, 0.6220392293342395, 0.3328962939724164], "edgecolor": "black", "center": [0, 0], "size": 30.845384641110222}, "shape_B": {"name": "hexagon", "facecolor": [0.6259215249347354, 0.20495782020717013, 0.7318889968777272], "edgecolor": "black", "center": [0, 0], "size": 33.74726625827659}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_76.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_76.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_76.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_76.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_76.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_76.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_76.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_76.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_76.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_76.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_76.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_76.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_76.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Increase the size of the hexagon, making it larger. <shapeB_step_1>\n- Shift the hexagon a little to the right and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "C", "hard": "D"} |
||
3steps_hard_no_8 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse slightly upward. <shapeB_step_0>
- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the ellipse a little to the right and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['translate', [0, 10]], ['rotate', 30], ['translate', [10, 30]]] | hard | {"instance_id": 8, "shape_A": {"name": "square", "facecolor": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485], "edgecolor": "black", "center": [0, 0], "size": 30.085712988012137}, "shape_B": {"name": "ellipse", "facecolor": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251], "edgecolor": "black", "center": [0, 0], "size": [34.54886682999383, 20.535082143472465]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_8.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_8.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_8.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_8.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_8.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_8.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_8.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_8.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_8.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_8.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_8.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_8.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_8.png", "instructions": [["translate", [0, 10]], ["rotate", 30], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse slightly upward. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse a little to the right and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "A", "hard": "A"} |
||
3steps_hard_no_32 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the rectangle by 60 degrees clockwise around its center. <shapeB_step_1>
- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['rotate', 60], ['rotate', -60], ['translate', [30, -10]]] | hard | {"instance_id": 32, "shape_A": {"name": "square", "facecolor": [0.8310679928489868, 0.4164948698112161, 0.7654177038552202], "edgecolor": "black", "center": [0, 0], "size": 32.118103827532515}, "shape_B": {"name": "rectangle", "facecolor": [0.4697647373643363, 0.14011239817818344, 0.5274500377369219], "edgecolor": "black", "center": [0, 0], "size": [34.74120981529268, 22.27148255535051]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_32.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_32.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_32.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_32.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_32.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_32.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_32.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_32.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_32.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_32.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_32.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_32.png", "instructions": [["rotate", 60], ["rotate", -60], ["translate", [30, -10]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the rectangle by 60 degrees clockwise around its center. <shapeB_step_1>\n- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "B", "hard": "A"} |
||
3steps_hard_no_70 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_1>
- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', -30], ['translate', [-30, -10]], ['flip', 'vertical']] | hard | {"instance_id": 70, "shape_A": {"name": "hexagon", "facecolor": [0.508101811491622, 0.9708164574489425, 0.3493276156314574], "edgecolor": "black", "center": [0, 0], "size": 32.41139242399515}, "shape_B": {"name": "circle", "facecolor": [0.17703312931693638, 0.4548757978137944, 0.24783215995172736], "edgecolor": "black", "center": [0, 0], "size": 30.3165034401549}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_70.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_70.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_70.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_70.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_70.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_70.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_70.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_70.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_70.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_70.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_70.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_70.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_70.png", "instructions": [["rotate", -30], ["translate", [-30, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "C", "hard": "B"} |
||
3steps_hard_no_1 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the right by a significant amount and slightly upward. <shapeB_step_0>
- Shift the square a little to the left and slightly downward. <shapeB_step_1>
- Rotate the square by 30 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [30, 10]], ['translate', [-10, -10]], ['rotate', -30]] | hard | {"instance_id": 1, "shape_A": {"name": "rectangle", "facecolor": [0.5376344041016273, 0.5058846940487653, 0.1324565703664673], "edgecolor": "black", "center": [0, 0], "size": [34.39063482486796, 21.322329607435638]}, "shape_B": {"name": "square", "facecolor": [0.6211592554930928, 0.562993645638946, 0.09998124892458848], "edgecolor": "black", "center": [0, 0], "size": 30.51793250959106}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_1.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_1.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_1.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_1.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_1.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_1.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_1.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_1.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_1.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_1.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_1.png", "instructions": [["translate", [30, 10]], ["translate", [-10, -10]], ["rotate", -30]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the square a little to the left and slightly downward. <shapeB_step_1>\n- Rotate the square by 30 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "A", "hard": "C"} |
||
3steps_hard_no_100 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the hexagon to the right by a significant amount and slightly downward. <shapeB_step_1>
- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['rotate', 30], ['translate', [30, -10]], ['scale', 0.5]] | hard | {"instance_id": 100, "shape_A": {"name": "rectangle", "facecolor": [0.636508616924554, 0.18554177849338294, 0.09380913897594545], "edgecolor": "black", "center": [0, 0], "size": [31.642532378280357, 22.003028402354666]}, "shape_B": {"name": "hexagon", "facecolor": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662], "edgecolor": "black", "center": [0, 0], "size": 33.06437190932462}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_100.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_100.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_100.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_100.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_100.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_100.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_100.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_100.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_100.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_100.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_100.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_100.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_100.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_100.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_100.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_100.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_100.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_100.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_100.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_100.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_100.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_100.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_100.png", "instructions": [["rotate", 30], ["translate", [30, -10]], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the right by a significant amount and slightly downward. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "D", "hard": "C"} |
||
3steps_hard_no_104 |
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:
- Shift the hexagon a little to the right. <shapeB_step_0>
- Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
- Shift the hexagon to the right by a significant amount and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [10, 0]], ['flip', 'horizontal'], ['translate', [30, 10]]] | hard | {"instance_id": 104, "shape_A": {"name": "ellipse", "facecolor": [0.7107444414023226, 0.7521421273061247, 0.18434667452866027], "edgecolor": "black", "center": [0, 0], "size": [34.59203167298348, 23.985925995661848]}, "shape_B": {"name": "hexagon", "facecolor": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825], "edgecolor": "black", "center": [0, 0], "size": 31.087138242233223}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_104.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_104.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_104.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_104.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_104.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_104.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_104.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_104.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_104.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_104.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_104.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_104.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_104.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_104.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_104.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_104.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_104.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_104.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_104.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_104.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_104.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_104.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_104.png", "instructions": [["translate", [10, 0]], ["flip", "horizontal"], ["translate", [30, 10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right. <shapeB_step_0>\n- Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Shift the hexagon to the right by a significant amount and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "B", "hard": "C"} |
||
3steps_hard_no_34 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1>
- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [30, 10]], ['translate', [30, 10]], ['translate', [30, 10]]] | hard | {"instance_id": 34, "shape_A": {"name": "circle", "facecolor": [0.749943679211488, 0.6238256910981901, 0.5447337411321853], "edgecolor": "black", "center": [0, 0], "size": 34.698084047982235}, "shape_B": {"name": "triangle", "facecolor": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922], "edgecolor": "black", "center": [0, 0], "size": 33.29340920837593}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_34.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_34.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_34.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_34.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_34.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_34.png", "instructions": [["translate", [30, 10]], ["translate", [30, 10]], ["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "C", "hard": "B"} |
||
3steps_hard_no_82 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
- Shift the circle a little to the left and significantly downward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', 30], ['scale', 0.5], ['translate', [-10, -30]]] | hard | {"instance_id": 82, "shape_A": {"name": "triangle", "facecolor": [0.7926721683585463, 0.8039064957759225, 0.9978021711720083], "edgecolor": "black", "center": [0, 0], "size": 32.43080905873159}, "shape_B": {"name": "circle", "facecolor": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391], "edgecolor": "black", "center": [0, 0], "size": 31.921836513045147}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_82.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_82.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_82.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_82.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_82.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_82.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_82.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_82.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_82.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_82.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_82.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_82.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_82.png", "instructions": [["rotate", 30], ["scale", 0.5], ["translate", [-10, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "B", "hard": "B"} |
||
3steps_hard_no_88 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
- Increase the size of the circle, making it larger. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['rotate', -30], ['scale', 0.5], ['scale', 2.0]] | hard | {"instance_id": 88, "shape_A": {"name": "triangle", "facecolor": [0.07969108996919705, 0.917970684447528, 0.49931702987600457], "edgecolor": "black", "center": [0, 0], "size": 31.08897493524463}, "shape_B": {"name": "circle", "facecolor": [0.9697528141449377, 0.47643685973534844, 0.5100764138139963], "edgecolor": "black", "center": [0, 0], "size": 34.38489277094175}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_88.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_88.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_88.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_88.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_88.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_88.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_88.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_88.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_88.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_88.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_88.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_88.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_88.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_88.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_88.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_88.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_88.png", "instructions": [["rotate", -30], ["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "A", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Increase the size of the circle, making it larger. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "B", "hard": "C"} |
||
3steps_hard_no_37 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['rotate', 30], ['rotate', 60], ['rotate', -60]] | hard | {"instance_id": 37, "shape_A": {"name": "pentagon", "facecolor": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859], "edgecolor": "black", "center": [0, 0], "size": 31.037373899309713}, "shape_B": {"name": "triangle", "facecolor": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525], "edgecolor": "black", "center": [0, 0], "size": 34.788718071244226}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_37.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_37.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_37.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_37.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_37.png", "instructions": [["rotate", 30], ["rotate", 60], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "D", "hard": "D"} |
||
3steps_hard_no_101 |
Imagine transforming a square step by step. <shapeB_image> Follow these changes:
- Shift the square to the left by a significant amount and significantly downward. <shapeB_step_0>
- Shift the square a little to the left and significantly upward. <shapeB_step_1>
- Reduce the size of the square, making it smaller. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, -30]], ['translate', [-10, 30]], ['scale', 0.5]] | hard | {"instance_id": 101, "shape_A": {"name": "pentagon", "facecolor": [0.03265833366960047, 0.41080551222202943, 0.4519012488987645], "edgecolor": "black", "center": [0, 0], "size": 31.266850141468296}, "shape_B": {"name": "square", "facecolor": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513], "edgecolor": "black", "center": [0, 0], "size": 32.86564712611827}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_101.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_101.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_101.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_101.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_101.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_101.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_101.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_101.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_101.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_101.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_101.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_101.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_101.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_101.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_101.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_101.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_101.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_101.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_101.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_101.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_101.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_101.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_101.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. <shapeB_step_1>\n- Reduce the size of the square, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "C", "hard": "D"} |
||
3steps_hard_no_0 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle a little to the left and significantly downward. <shapeB_step_0>
- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the circle a little to the right. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| A | [['translate', [-10, -30]], ['rotate', 30], ['translate', [10, 0]]] | hard | {"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [0, 0], "size": 33.018630156834455}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [0, 0], "size": 33.49069697494114}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_0.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_0.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_0.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_0.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_0.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_0.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_0.png", "instructions": [["translate", [-10, -30]], ["rotate", 30], ["translate", [10, 0]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the left and significantly downward. <shapeB_step_0>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle a little to the right. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "C", "hard": "A"} |
||
3steps_hard_no_119 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>
- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_1>
- Shift the triangle a little to the left. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['rotate', 30], ['translate', [-30, 30]], ['translate', [-10, 0]]] | hard | {"instance_id": 119, "shape_A": {"name": "rectangle", "facecolor": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847], "edgecolor": "black", "center": [0, 0], "size": [34.24822105989614, 21.66208613025525]}, "shape_B": {"name": "triangle", "facecolor": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684], "edgecolor": "black", "center": [0, 0], "size": 34.543408338417194}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_119.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_119.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_119.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_119.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_119.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_119.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_119.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_119.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_119.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_119.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_119.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_119.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_119.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_119.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_119.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_119.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_119.png", "instructions": [["rotate", 30], ["translate", [-30, 30]], ["translate", [-10, 0]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_1>\n- Shift the triangle a little to the left. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "C", "hard": "B"} |
||
3steps_hard_no_64 |
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:
- Shift the ellipse to the left by a significant amount. <shapeB_step_0>
- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-30, 0]], ['rotate', 60], ['translate', [-30, 30]]] | hard | {"instance_id": 64, "shape_A": {"name": "square", "facecolor": [0.6639878348318775, 0.4032816903425681, 0.6846023662624946], "edgecolor": "black", "center": [0, 0], "size": 33.726659582155456}, "shape_B": {"name": "ellipse", "facecolor": [0.2560335809291743, 0.7639408847787152, 0.823856385364805], "edgecolor": "black", "center": [0, 0], "size": [33.5887390001288, 21.256854641847156]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_64.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_64.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_64.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_64.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_64.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_64.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_64.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_64.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_64.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_64.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_64.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_64.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_64.png", "instructions": [["translate", [-30, 0]], ["rotate", 60], ["translate", [-30, 30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the left by a significant amount. <shapeB_step_0>\n- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "D", "hard": "B"} |
||
3steps_hard_no_75 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>
- Reduce the size of the circle, making it smaller. <shapeB_step_1>
- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-30, -30]], ['scale', 0.5], ['flip', 'vertical']] | hard | {"instance_id": 75, "shape_A": {"name": "pentagon", "facecolor": [0.45674633042636925, 0.8316691933719237, 0.673254121332858], "edgecolor": "black", "center": [0, 0], "size": 32.716633341796395}, "shape_B": {"name": "circle", "facecolor": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003], "edgecolor": "black", "center": [0, 0], "size": 34.72535478969419}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_75.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_75.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_75.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_75.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_75.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, -30]], ["scale", 0.5], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "D", "hard": "B"} |
||
3steps_hard_no_38 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_0>
- Shift the pentagon significantly upward. <shapeB_step_1>
- Rotate the pentagon by 30 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, 30]], ['translate', [0, 30]], ['rotate', -30]] | hard | {"instance_id": 38, "shape_A": {"name": "rectangle", "facecolor": [0.04577971988125684, 0.8017670960344266, 0.8732558095442269], "edgecolor": "black", "center": [0, 0], "size": [34.69185071228617, 21.029304805954144]}, "shape_B": {"name": "pentagon", "facecolor": [0.12971624438556906, 0.3978186508916419, 0.6575828203735974], "edgecolor": "black", "center": [0, 0], "size": 32.217709187907495}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_38.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_38.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_38.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_38.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_38.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_38.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_38.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_38.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_38.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_38.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_38.png", "instructions": [["translate", [-30, 30]], ["translate", [0, 30]], ["rotate", -30]], "correct_answer": {"easy": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Shift the pentagon significantly upward. <shapeB_step_1>\n- Rotate the pentagon by 30 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "hard": "D"} |
||
3steps_hard_no_73 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Shift the rectangle a little to the left and significantly downward. <shapeB_step_0>
- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>
- Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [-10, -30]], ['translate', [30, 10]], ['flip', 'vertical']] | hard | {"instance_id": 73, "shape_A": {"name": "triangle", "facecolor": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874], "edgecolor": "black", "center": [0, 0], "size": 31.584942631209156}, "shape_B": {"name": "rectangle", "facecolor": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166], "edgecolor": "black", "center": [0, 0], "size": [33.77488913308872, 21.149583667217854]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_73.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_73.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_73.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_73.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_73.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_73.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_73.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_73.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_73.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_73.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_73.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_73.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_73.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_73.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_73.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_73.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_73.png", "instructions": [["translate", [-10, -30]], ["translate", [30, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and significantly downward. <shapeB_step_0>\n- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "C", "hard": "B"} |
||
3steps_hard_no_25 |
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:
- Reduce the size of the pentagon, making it smaller. <shapeB_step_0>
- Rotate the pentagon by 60 degrees counter-clockwise around its center. <shapeB_step_1>
- Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['scale', 0.5], ['rotate', 60], ['rotate', 30]] | hard | {"instance_id": 25, "shape_A": {"name": "triangle", "facecolor": [0.842089709833705, 0.8581893577427531, 0.5385825350203697], "edgecolor": "black", "center": [0, 0], "size": 34.14725381261999}, "shape_B": {"name": "pentagon", "facecolor": [0.7387811817422367, 0.44526594850321755, 0.48504683726645403], "edgecolor": "black", "center": [0, 0], "size": 34.23814765040177}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_25.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_25.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_25.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_25.png", "answer_choices": {"medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_25.png"}, "individual_answer_choices_path": {"medium": ["output_dir/2d_visual_analogy_3_steps/distractor_B_medium_25.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_25.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_25.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_25.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_25.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_25.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_25.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_25.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_25.png", "instructions": [["scale", 0.5], ["rotate", 60], ["rotate", 30]], "correct_answer": {"medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the pentagon, making it smaller. <shapeB_step_0>\n- Rotate the pentagon by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"medium": "C", "hard": "B"} |
||
3steps_hard_no_103 |
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:
- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>
- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>
- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['translate', [-30, 30]], ['rotate', -60], ['rotate', -60]] | hard | {"instance_id": 103, "shape_A": {"name": "pentagon", "facecolor": [0.46108798295271736, 0.1718510827561356, 0.7514961977145297], "edgecolor": "black", "center": [0, 0], "size": 33.01800645792805}, "shape_B": {"name": "triangle", "facecolor": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641], "edgecolor": "black", "center": [0, 0], "size": 34.29963973553109}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_103.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_103.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_103.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_103.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_103.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_103.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_103.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_103.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_103.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_103.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_103.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_103.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_103.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_103.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/shape_B_prime_103.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_103.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_103.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_103.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_103.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_103.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_103.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_103.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_103.png", "instructions": [["translate", [-30, 30]], ["rotate", -60], ["rotate", -60]], "correct_answer": {"easy": "C", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "A", "hard": "D"} |
||
3steps_hard_no_47 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0>
- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
- Shift the circle a little to the right and significantly upward. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['translate', [-30, 30]], ['flip', 'horizontal'], ['translate', [10, 30]]] | hard | {"instance_id": 47, "shape_A": {"name": "rectangle", "facecolor": [0.5680786562216632, 0.3748360191237824, 0.06938923117303619], "edgecolor": "black", "center": [0, 0], "size": [34.07180737029744, 22.22553223484537]}, "shape_B": {"name": "circle", "facecolor": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697], "edgecolor": "black", "center": [0, 0], "size": 33.85991804962948}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_47.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_47.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_47.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_47.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_47.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_47.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_47.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_D_easy_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_47.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_B_hard_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_47.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_47.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_47.png", "instructions": [["translate", [-30, 30]], ["flip", "horizontal"], ["translate", [10, 30]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Shift the circle a little to the right and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "C", "hard": "C"} |
||
3steps_hard_no_77 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0>
- Shift the circle a little to the left and slightly downward. <shapeB_step_1>
- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| C | [['rotate', -30], ['translate', [-10, -10]], ['flip', 'vertical']] | hard | {"instance_id": 77, "shape_A": {"name": "ellipse", "facecolor": [0.4014485780221052, 0.310955357635772, 0.7439741786648469], "edgecolor": "black", "center": [0, 0], "size": [33.49433679884838, 20.525172859231922]}, "shape_B": {"name": "circle", "facecolor": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685], "edgecolor": "black", "center": [0, 0], "size": 34.36147527788715}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_77.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_77.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_77.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_77.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_77.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_77.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_77.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_77.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_77.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_77.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_77.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_77.png", "instructions": [["rotate", -30], ["translate", [-10, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "C", "hard": "C"} |
||
3steps_hard_no_89 |
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:
- Reduce the size of the rectangle, making it smaller. <shapeB_step_0>
- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>
- Rotate the rectangle by 30 degrees clockwise around its center. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| D | [['scale', 0.5], ['translate', [30, 10]], ['rotate', -30]] | hard | {"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665], "edgecolor": "black", "center": [0, 0], "size": 34.68810527851148}, "shape_B": {"name": "rectangle", "facecolor": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074], "edgecolor": "black", "center": [0, 0], "size": [31.79145902423523, 20.92473276522844]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_89.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_C_easy_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_easy_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_89.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_D_medium_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_medium_89.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_D_hard_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_89.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_hard_89.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_89.png", "instructions": [["scale", 0.5], ["translate", [30, 10]], ["rotate", -30]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Rotate the rectangle by 30 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "C", "hard": "D"} |
||
3steps_hard_no_93 |
Imagine transforming a circle step by step. <shapeB_image> Follow these changes:
- Shift the circle to the right by a significant amount and significantly upward. <shapeB_step_0>
- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>
- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>
After these transformations, which of the following shapes best represents the final result?
For reference, the black dots in each panel of the figures indicate the origin.
| B | [['translate', [30, 30]], ['flip', 'horizontal'], ['flip', 'horizontal']] | hard | {"instance_id": 93, "shape_A": {"name": "rectangle", "facecolor": [0.4254019801119574, 0.8829701848440143, 0.17379983330709814], "edgecolor": "black", "center": [0, 0], "size": [34.220411786245975, 24.614735790284964]}, "shape_B": {"name": "circle", "facecolor": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966], "edgecolor": "black", "center": [0, 0], "size": 32.15743680449199}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_3_steps/shape_B_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step0_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step1_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_step2_93.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_no_93.png", "composed_B_partial": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_partial_93.png", "composed_B_all": "output_dir/2d_visual_analogy_3_steps/composed_transformation_B_all_93.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_3_steps/answer_choices_easy_93.png", "medium": "output_dir/2d_visual_analogy_3_steps/answer_choices_medium_93.png", "hard": "output_dir/2d_visual_analogy_3_steps/answer_choices_hard_93.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_3_steps/distractor_B_easy_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_C_easy_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_easy_93.png"], "medium": ["output_dir/2d_visual_analogy_3_steps/distractor_C_medium_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_medium_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_medium_93.png"], "hard": ["output_dir/2d_visual_analogy_3_steps/distractor_C_hard_93.png", "output_dir/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_D_hard_93.png", "output_dir/2d_visual_analogy_3_steps/distractor_B_hard_93.png"]}, "question_image": "output_dir/2d_visual_analogy_3_steps/composed_transformation_A_93.png", "instructions": [["translate", [30, 30]], ["flip", "horizontal"], ["flip", "horizontal"]], "correct_answer": {"easy": "B", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and significantly upward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "C", "hard": "B"} |
Subsets and Splits