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2d_perception_color_50_6 | What color is face 6 in the cube net shown in the image?
<image_0>
A. light red
B. light green
C. light purple
D. yellow | B | color | [
"A. light red",
"B. light green",
"C. light purple",
"D. yellow"
] | {"initial_net": {"name": "2 Rows of 3", "faces": {"6": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "5": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "2": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251564e-16]], "4": [[2.0, 1.0, 1.0], [0.9999999999999998, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0000000000000002, 2.220446049250313e-16]], "3": [[1.0, 0.9999999999999999, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [1.0, 1.0, 0.0]], "1": [[2.0, 0.9999999999999999, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [2.0, 1.0, 0.0]]}, "face_connections": {"6": ["5", "4"], "5": ["6", "2", "3"], "2": ["5", "1"], "4": ["6", "3"], "3": ["5", "4", "1"], "1": ["2", "3"]}, "valid": false}, "base_face": "5", "folding_steps": [["6", "5", [1, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "5", [1, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], -1.5707963267948966], ["4", "6", [0.9999999999999999, 1.0, 1.0], [1.1102230246251565e-16, 0.0, -1.0], 1.5707963267948966], ["2", "1", [2.0, 2.0, 1.1102230246251565e-16], [0.0, -1.0, -1.1102230246251565e-16], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 3 upwards towards face 6", "Fold face 1 inwards towards face 5", "Fold face 4 inwards towards face 5", "Fold face 2 upwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random2_net18_base5_step1.png", "output_dir/folding_nets/random2_net18_base5_step2.png"], "id": "random2_net18_base5"} |
|
2d_perception_color_50_3 | What color is face 3 in the cube net shown in the image?
<image_0>
A. light red
B. light orange
C. light purple
D. light green | A | color | [
"A. light red",
"B. light orange",
"C. light purple",
"D. light green"
] | {"initial_net": {"name": "2 Rows of 3", "faces": {"6": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "5": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "2": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251564e-16]], "4": [[2.0, 1.0, 1.0], [0.9999999999999998, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0000000000000002, 2.220446049250313e-16]], "3": [[1.0, 0.9999999999999999, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [1.0, 1.0, 0.0]], "1": [[2.0, 0.9999999999999999, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [2.0, 1.0, 0.0]]}, "face_connections": {"6": ["5", "4"], "5": ["6", "2", "3"], "2": ["5", "1"], "4": ["6", "3"], "3": ["5", "4", "1"], "1": ["2", "3"]}, "valid": false}, "base_face": "5", "folding_steps": [["6", "5", [1, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "5", [1, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], -1.5707963267948966], ["4", "6", [0.9999999999999999, 1.0, 1.0], [1.1102230246251565e-16, 0.0, -1.0], 1.5707963267948966], ["2", "1", [2.0, 2.0, 1.1102230246251565e-16], [0.0, -1.0, -1.1102230246251565e-16], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 3 upwards towards face 6", "Fold face 1 inwards towards face 5", "Fold face 4 inwards towards face 5", "Fold face 2 upwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random2_net18_base5_step1.png", "output_dir/folding_nets/random2_net18_base5_step2.png"], "id": "random2_net18_base5"} |
|
2d_perception_connectivity_50_4_1 | In the cube net shown in the image, is face 4 directly connected to face 1, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "2 Rows of 3", "faces": {"6": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "5": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "2": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251564e-16]], "4": [[2.0, 1.0, 1.0], [0.9999999999999998, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0000000000000002, 2.220446049250313e-16]], "3": [[1.0, 0.9999999999999999, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [1.0, 1.0, 0.0]], "1": [[2.0, 0.9999999999999999, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [2.0, 1.0, 0.0]]}, "face_connections": {"6": ["5", "4"], "5": ["6", "2", "3"], "2": ["5", "1"], "4": ["6", "3"], "3": ["5", "4", "1"], "1": ["2", "3"]}, "valid": false}, "base_face": "5", "folding_steps": [["6", "5", [1, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "5", [1, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], -1.5707963267948966], ["4", "6", [0.9999999999999999, 1.0, 1.0], [1.1102230246251565e-16, 0.0, -1.0], 1.5707963267948966], ["2", "1", [2.0, 2.0, 1.1102230246251565e-16], [0.0, -1.0, -1.1102230246251565e-16], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 3 upwards towards face 6", "Fold face 1 inwards towards face 5", "Fold face 4 inwards towards face 5", "Fold face 2 upwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random2_net18_base5_step1.png", "output_dir/folding_nets/random2_net18_base5_step2.png"], "id": "random2_net18_base5"} |
|
2d_perception_connectivity_50_2_3 | In the cube net shown in the image, is face 2 directly connected to face 3, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "2 Rows of 3", "faces": {"6": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "5": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "2": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251564e-16]], "4": [[2.0, 1.0, 1.0], [0.9999999999999998, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0000000000000002, 2.220446049250313e-16]], "3": [[1.0, 0.9999999999999999, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [1.0, 1.0, 0.0]], "1": [[2.0, 0.9999999999999999, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [2.0, 1.0, 0.0]]}, "face_connections": {"6": ["5", "4"], "5": ["6", "2", "3"], "2": ["5", "1"], "4": ["6", "3"], "3": ["5", "4", "1"], "1": ["2", "3"]}, "valid": false}, "base_face": "5", "folding_steps": [["6", "5", [1, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "5", [1, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], -1.5707963267948966], ["4", "6", [0.9999999999999999, 1.0, 1.0], [1.1102230246251565e-16, 0.0, -1.0], 1.5707963267948966], ["2", "1", [2.0, 2.0, 1.1102230246251565e-16], [0.0, -1.0, -1.1102230246251565e-16], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 3 upwards towards face 6", "Fold face 1 inwards towards face 5", "Fold face 4 inwards towards face 5", "Fold face 2 upwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random2_net18_base5_step1.png", "output_dir/folding_nets/random2_net18_base5_step2.png"], "id": "random2_net18_base5"} |
|
2d_perception_color_51_2 | What color is face 2 in the cube net shown in the image?
<image_0>
A. light red
B. yellow
C. light green
D. light purple | D | color | [
"A. light red",
"B. yellow",
"C. light green",
"D. light purple"
] | {"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"2": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "5": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "1": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "4": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "3": [[2.0, -6.123233995736766e-17, 1.0], [2.0, -6.123233995736766e-17, 1.1102230246251565e-16], [1.0, 0.0, 0.0], [0.9999999999999999, 0.0, 1.0]], "6": [[1.0, 1.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0, 1.0, 1.0]]}, "face_connections": {"6": ["1"], "5": ["2"], "2": ["5", "1", "3"], "1": ["6", "2", "4"], "4": ["1"], "3": ["2"]}, "valid": true}, "base_face": "1", "folding_steps": [["6", "1", [2, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["4", "1", [2, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "1", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "2", [0.9999999999999999, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "2", [0.9999999999999999, 0.0, 1.0], [1.1102230246251565e-16, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 4 upwards towards face 6", "Fold face 2 upwards towards face 6", "Fold face 5 downwards towards face 4", "Fold face 3 inwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random1_net1_base1_step1.png", "output_dir/folding_nets/random1_net1_base1_step2.png", "output_dir/folding_nets/random1_net1_base1_step3.png", "output_dir/folding_nets/random1_net1_base1_step4.png", "output_dir/folding_nets/random1_net1_base1_step5.png", "output_dir/folding_nets/random1_net1_base1_step6.png"], "id": "random1_net1_base1"} |
|
2d_perception_color_51_4 | What color is face 4 in the cube net shown in the image?
<image_0>
A. light blue
B. light purple
C. light red
D. yellow | A | color | [
"A. light blue",
"B. light purple",
"C. light red",
"D. yellow"
] | {"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"2": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "5": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "1": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "4": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "3": [[2.0, -6.123233995736766e-17, 1.0], [2.0, -6.123233995736766e-17, 1.1102230246251565e-16], [1.0, 0.0, 0.0], [0.9999999999999999, 0.0, 1.0]], "6": [[1.0, 1.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0, 1.0, 1.0]]}, "face_connections": {"6": ["1"], "5": ["2"], "2": ["5", "1", "3"], "1": ["6", "2", "4"], "4": ["1"], "3": ["2"]}, "valid": true}, "base_face": "1", "folding_steps": [["6", "1", [2, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["4", "1", [2, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "1", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "2", [0.9999999999999999, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "2", [0.9999999999999999, 0.0, 1.0], [1.1102230246251565e-16, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 4 upwards towards face 6", "Fold face 2 upwards towards face 6", "Fold face 5 downwards towards face 4", "Fold face 3 inwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random1_net1_base1_step1.png", "output_dir/folding_nets/random1_net1_base1_step2.png", "output_dir/folding_nets/random1_net1_base1_step3.png", "output_dir/folding_nets/random1_net1_base1_step4.png", "output_dir/folding_nets/random1_net1_base1_step5.png", "output_dir/folding_nets/random1_net1_base1_step6.png"], "id": "random1_net1_base1"} |
|
2d_perception_connectivity_51_5_1 | In the cube net shown in the image, is face 5 directly connected to face 1, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"2": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "5": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "1": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "4": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "3": [[2.0, -6.123233995736766e-17, 1.0], [2.0, -6.123233995736766e-17, 1.1102230246251565e-16], [1.0, 0.0, 0.0], [0.9999999999999999, 0.0, 1.0]], "6": [[1.0, 1.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0, 1.0, 1.0]]}, "face_connections": {"6": ["1"], "5": ["2"], "2": ["5", "1", "3"], "1": ["6", "2", "4"], "4": ["1"], "3": ["2"]}, "valid": true}, "base_face": "1", "folding_steps": [["6", "1", [2, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["4", "1", [2, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "1", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "2", [0.9999999999999999, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "2", [0.9999999999999999, 0.0, 1.0], [1.1102230246251565e-16, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 4 upwards towards face 6", "Fold face 2 upwards towards face 6", "Fold face 5 downwards towards face 4", "Fold face 3 inwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random1_net1_base1_step1.png", "output_dir/folding_nets/random1_net1_base1_step2.png", "output_dir/folding_nets/random1_net1_base1_step3.png", "output_dir/folding_nets/random1_net1_base1_step4.png", "output_dir/folding_nets/random1_net1_base1_step5.png", "output_dir/folding_nets/random1_net1_base1_step6.png"], "id": "random1_net1_base1"} |
|
2d_perception_connectivity_51_2_4 | In the cube net shown in the image, is face 2 directly connected to face 4, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"2": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "5": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "1": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "4": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "3": [[2.0, -6.123233995736766e-17, 1.0], [2.0, -6.123233995736766e-17, 1.1102230246251565e-16], [1.0, 0.0, 0.0], [0.9999999999999999, 0.0, 1.0]], "6": [[1.0, 1.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [1.0, 1.0, 1.0]]}, "face_connections": {"6": ["1"], "5": ["2"], "2": ["5", "1", "3"], "1": ["6", "2", "4"], "4": ["1"], "3": ["2"]}, "valid": true}, "base_face": "1", "folding_steps": [["6", "1", [2, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["4", "1", [2, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "1", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "2", [0.9999999999999999, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "2", [0.9999999999999999, 0.0, 1.0], [1.1102230246251565e-16, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 4 upwards towards face 6", "Fold face 2 upwards towards face 6", "Fold face 5 downwards towards face 4", "Fold face 3 inwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random1_net1_base1_step1.png", "output_dir/folding_nets/random1_net1_base1_step2.png", "output_dir/folding_nets/random1_net1_base1_step3.png", "output_dir/folding_nets/random1_net1_base1_step4.png", "output_dir/folding_nets/random1_net1_base1_step5.png", "output_dir/folding_nets/random1_net1_base1_step6.png"], "id": "random1_net1_base1"} |
|
2d_perception_color_52_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light orange
B. light blue
C. light red
D. light purple | A | color | [
"A. light orange",
"B. light blue",
"C. light red",
"D. light purple"
] | {"initial_net": {"name": "invalid_E", "faces": {"5": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 1.0, 0.0]], "1": [[3.0, 1.0, 0.0], [4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0]], "4": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "6": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "2": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "3": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0]]}, "face_connections": {"5": ["4"], "1": ["3"], "4": ["5", "6"], "6": ["4", "2"], "2": ["6", "3"], "3": ["2", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["1", "3", [4, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "3", [3, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "2", [3.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "6", [4.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [4.0, 1.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 upwards towards face 1", "Fold face 6 downwards towards face 1", "Fold face 4 downwards towards face 1", "Fold face 5 inwards towards face 1"], "images_per_step": ["output_dir/folding_nets/random2_net22_base3_step1.png", "output_dir/folding_nets/random2_net22_base3_step2.png", "output_dir/folding_nets/random2_net22_base3_step3.png", "output_dir/folding_nets/random2_net22_base3_step4.png"], "id": "random2_net22_base3"} |
|
2d_perception_color_52_4 | What color is face 4 in the cube net shown in the image?
<image_0>
A. yellow
B. light green
C. light red
D. light blue | D | color | [
"A. yellow",
"B. light green",
"C. light red",
"D. light blue"
] | {"initial_net": {"name": "invalid_E", "faces": {"5": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 1.0, 0.0]], "1": [[3.0, 1.0, 0.0], [4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0]], "4": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "6": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "2": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "3": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0]]}, "face_connections": {"5": ["4"], "1": ["3"], "4": ["5", "6"], "6": ["4", "2"], "2": ["6", "3"], "3": ["2", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["1", "3", [4, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "3", [3, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "2", [3.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "6", [4.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [4.0, 1.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 upwards towards face 1", "Fold face 6 downwards towards face 1", "Fold face 4 downwards towards face 1", "Fold face 5 inwards towards face 1"], "images_per_step": ["output_dir/folding_nets/random2_net22_base3_step1.png", "output_dir/folding_nets/random2_net22_base3_step2.png", "output_dir/folding_nets/random2_net22_base3_step3.png", "output_dir/folding_nets/random2_net22_base3_step4.png"], "id": "random2_net22_base3"} |
|
2d_perception_connectivity_52_4_6 | In the cube net shown in the image, is face 4 directly connected to face 6, yes or no?
<image_0> | A | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "invalid_E", "faces": {"5": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 1.0, 0.0]], "1": [[3.0, 1.0, 0.0], [4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0]], "4": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "6": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "2": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "3": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0]]}, "face_connections": {"5": ["4"], "1": ["3"], "4": ["5", "6"], "6": ["4", "2"], "2": ["6", "3"], "3": ["2", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["1", "3", [4, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "3", [3, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "2", [3.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "6", [4.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [4.0, 1.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 upwards towards face 1", "Fold face 6 downwards towards face 1", "Fold face 4 downwards towards face 1", "Fold face 5 inwards towards face 1"], "images_per_step": ["output_dir/folding_nets/random2_net22_base3_step1.png", "output_dir/folding_nets/random2_net22_base3_step2.png", "output_dir/folding_nets/random2_net22_base3_step3.png", "output_dir/folding_nets/random2_net22_base3_step4.png"], "id": "random2_net22_base3"} |
|
2d_perception_connectivity_52_5_2 | In the cube net shown in the image, is face 5 directly connected to face 2, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "invalid_E", "faces": {"5": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 1.0, 0.0]], "1": [[3.0, 1.0, 0.0], [4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0]], "4": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "6": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "2": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "3": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0]]}, "face_connections": {"5": ["4"], "1": ["3"], "4": ["5", "6"], "6": ["4", "2"], "2": ["6", "3"], "3": ["2", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["1", "3", [4, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "3", [3, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "2", [3.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "6", [4.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [4.0, 1.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 upwards towards face 1", "Fold face 6 downwards towards face 1", "Fold face 4 downwards towards face 1", "Fold face 5 inwards towards face 1"], "images_per_step": ["output_dir/folding_nets/random2_net22_base3_step1.png", "output_dir/folding_nets/random2_net22_base3_step2.png", "output_dir/folding_nets/random2_net22_base3_step3.png", "output_dir/folding_nets/random2_net22_base3_step4.png"], "id": "random2_net22_base3"} |
|
2d_perception_color_53_6 | What color is face 6 in the cube net shown in the image?
<image_0>
A. light red
B. light blue
C. light green
D. yellow | C | color | [
"A. light red",
"B. light blue",
"C. light green",
"D. yellow"
] | {"initial_net": {"name": "3-3 Net", "faces": {"5": [[2.0, -2.0000000000000004, -1.1102230246251565e-16], [2.0, -2.0000000000000004, 0.9999999999999999], [2.0, -1.0000000000000004, 0.9999999999999998], [2.0, -1.0000000000000004, -1.1102230246251565e-16]], "2": [[0.9999999999999999, -2.0, 0.0], [1.0, -2.0, 1.0], [2.0, -2.0000000000000004, 0.9999999999999999], [2.0, -2.0000000000000004, -2.220446049250313e-16]], "3": [[0.9999999999999999, -0.9999999999999999, 0.0], [1.0, -0.9999999999999999, 1.0], [1.0, -2.0, 1.0], [0.9999999999999999, -2.0, 0.0]], "6": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "4": [[1.0, -1.0, 0.0], [2.0, -1.0, 0.0], [2.0, -0.9999999999999999, 1.0], [1.0, -0.9999999999999999, 1.0]], "1": [[1, -2, 0], [2, -2, 0], [2, -1, 0], [1, -1, 0]]}, "face_connections": {"5": ["2"], "2": ["5", "3"], "3": ["2", "6"], "6": ["3", "4"], "4": ["6", "1"], "1": ["4"]}, "valid": true}, "base_face": "1", "folding_steps": [["4", "1", [2, -1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["6", "4", [2.0, -0.9999999999999999, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "6", [1.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966], ["2", "3", [1.0, -2.0, 1.0], [-1.1102230246251565e-16, 0.0, -1.0], -1.5707963267948966], ["5", "2", [2.0, -2.0000000000000004, 0.9999999999999999], [0.0, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 6 downwards", "Fold face 3 downwards towards face 4", "Fold face 2 downwards towards face 6", "Fold face 5 upwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net7_base1_step1.png", "output_dir/folding_nets/random3_net7_base1_step2.png", "output_dir/folding_nets/random3_net7_base1_step3.png", "output_dir/folding_nets/random3_net7_base1_step4.png", "output_dir/folding_nets/random3_net7_base1_step5.png", "output_dir/folding_nets/random3_net7_base1_step6.png"], "id": "random3_net7_base1"} |
|
2d_perception_color_53_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light green
B. light orange
C. yellow
D. light red | B | color | [
"A. light green",
"B. light orange",
"C. yellow",
"D. light red"
] | {"initial_net": {"name": "3-3 Net", "faces": {"5": [[2.0, -2.0000000000000004, -1.1102230246251565e-16], [2.0, -2.0000000000000004, 0.9999999999999999], [2.0, -1.0000000000000004, 0.9999999999999998], [2.0, -1.0000000000000004, -1.1102230246251565e-16]], "2": [[0.9999999999999999, -2.0, 0.0], [1.0, -2.0, 1.0], [2.0, -2.0000000000000004, 0.9999999999999999], [2.0, -2.0000000000000004, -2.220446049250313e-16]], "3": [[0.9999999999999999, -0.9999999999999999, 0.0], [1.0, -0.9999999999999999, 1.0], [1.0, -2.0, 1.0], [0.9999999999999999, -2.0, 0.0]], "6": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "4": [[1.0, -1.0, 0.0], [2.0, -1.0, 0.0], [2.0, -0.9999999999999999, 1.0], [1.0, -0.9999999999999999, 1.0]], "1": [[1, -2, 0], [2, -2, 0], [2, -1, 0], [1, -1, 0]]}, "face_connections": {"5": ["2"], "2": ["5", "3"], "3": ["2", "6"], "6": ["3", "4"], "4": ["6", "1"], "1": ["4"]}, "valid": true}, "base_face": "1", "folding_steps": [["4", "1", [2, -1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["6", "4", [2.0, -0.9999999999999999, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "6", [1.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966], ["2", "3", [1.0, -2.0, 1.0], [-1.1102230246251565e-16, 0.0, -1.0], -1.5707963267948966], ["5", "2", [2.0, -2.0000000000000004, 0.9999999999999999], [0.0, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 6 downwards", "Fold face 3 downwards towards face 4", "Fold face 2 downwards towards face 6", "Fold face 5 upwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net7_base1_step1.png", "output_dir/folding_nets/random3_net7_base1_step2.png", "output_dir/folding_nets/random3_net7_base1_step3.png", "output_dir/folding_nets/random3_net7_base1_step4.png", "output_dir/folding_nets/random3_net7_base1_step5.png", "output_dir/folding_nets/random3_net7_base1_step6.png"], "id": "random3_net7_base1"} |
|
2d_perception_connectivity_53_6_4 | In the cube net shown in the image, is face 6 directly connected to face 4, yes or no?
<image_0> | A | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "3-3 Net", "faces": {"5": [[2.0, -2.0000000000000004, -1.1102230246251565e-16], [2.0, -2.0000000000000004, 0.9999999999999999], [2.0, -1.0000000000000004, 0.9999999999999998], [2.0, -1.0000000000000004, -1.1102230246251565e-16]], "2": [[0.9999999999999999, -2.0, 0.0], [1.0, -2.0, 1.0], [2.0, -2.0000000000000004, 0.9999999999999999], [2.0, -2.0000000000000004, -2.220446049250313e-16]], "3": [[0.9999999999999999, -0.9999999999999999, 0.0], [1.0, -0.9999999999999999, 1.0], [1.0, -2.0, 1.0], [0.9999999999999999, -2.0, 0.0]], "6": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "4": [[1.0, -1.0, 0.0], [2.0, -1.0, 0.0], [2.0, -0.9999999999999999, 1.0], [1.0, -0.9999999999999999, 1.0]], "1": [[1, -2, 0], [2, -2, 0], [2, -1, 0], [1, -1, 0]]}, "face_connections": {"5": ["2"], "2": ["5", "3"], "3": ["2", "6"], "6": ["3", "4"], "4": ["6", "1"], "1": ["4"]}, "valid": true}, "base_face": "1", "folding_steps": [["4", "1", [2, -1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["6", "4", [2.0, -0.9999999999999999, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "6", [1.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966], ["2", "3", [1.0, -2.0, 1.0], [-1.1102230246251565e-16, 0.0, -1.0], -1.5707963267948966], ["5", "2", [2.0, -2.0000000000000004, 0.9999999999999999], [0.0, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 6 downwards", "Fold face 3 downwards towards face 4", "Fold face 2 downwards towards face 6", "Fold face 5 upwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net7_base1_step1.png", "output_dir/folding_nets/random3_net7_base1_step2.png", "output_dir/folding_nets/random3_net7_base1_step3.png", "output_dir/folding_nets/random3_net7_base1_step4.png", "output_dir/folding_nets/random3_net7_base1_step5.png", "output_dir/folding_nets/random3_net7_base1_step6.png"], "id": "random3_net7_base1"} |
|
2d_perception_connectivity_53_3_6 | In the cube net shown in the image, is face 3 directly connected to face 6, yes or no?
<image_0> | A | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "3-3 Net", "faces": {"5": [[2.0, -2.0000000000000004, -1.1102230246251565e-16], [2.0, -2.0000000000000004, 0.9999999999999999], [2.0, -1.0000000000000004, 0.9999999999999998], [2.0, -1.0000000000000004, -1.1102230246251565e-16]], "2": [[0.9999999999999999, -2.0, 0.0], [1.0, -2.0, 1.0], [2.0, -2.0000000000000004, 0.9999999999999999], [2.0, -2.0000000000000004, -2.220446049250313e-16]], "3": [[0.9999999999999999, -0.9999999999999999, 0.0], [1.0, -0.9999999999999999, 1.0], [1.0, -2.0, 1.0], [0.9999999999999999, -2.0, 0.0]], "6": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "4": [[1.0, -1.0, 0.0], [2.0, -1.0, 0.0], [2.0, -0.9999999999999999, 1.0], [1.0, -0.9999999999999999, 1.0]], "1": [[1, -2, 0], [2, -2, 0], [2, -1, 0], [1, -1, 0]]}, "face_connections": {"5": ["2"], "2": ["5", "3"], "3": ["2", "6"], "6": ["3", "4"], "4": ["6", "1"], "1": ["4"]}, "valid": true}, "base_face": "1", "folding_steps": [["4", "1", [2, -1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["6", "4", [2.0, -0.9999999999999999, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "6", [1.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966], ["2", "3", [1.0, -2.0, 1.0], [-1.1102230246251565e-16, 0.0, -1.0], -1.5707963267948966], ["5", "2", [2.0, -2.0000000000000004, 0.9999999999999999], [0.0, 0.0, -1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 6 downwards", "Fold face 3 downwards towards face 4", "Fold face 2 downwards towards face 6", "Fold face 5 upwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net7_base1_step1.png", "output_dir/folding_nets/random3_net7_base1_step2.png", "output_dir/folding_nets/random3_net7_base1_step3.png", "output_dir/folding_nets/random3_net7_base1_step4.png", "output_dir/folding_nets/random3_net7_base1_step5.png", "output_dir/folding_nets/random3_net7_base1_step6.png"], "id": "random3_net7_base1"} |
|
2d_perception_color_54_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light orange
B. yellow
C. light red
D. light green | A | color | [
"A. light orange",
"B. yellow",
"C. light red",
"D. light green"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"6": [[4.0, 1.0, -9.494107596574928e-16], [5.0, 1.0, 0.0], [5.0, 2.0, 0.0], [4.0, 2.0, -9.494107596574928e-16]], "5": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "4": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0, 2.0, 1.0]], "3": [[4.0, 1.0, 1.0], [4.0, 1.0, 0.0], [4.0, 2.0, 0.0], [4.0, 2.0, 1.0]], "1": [[4, 1, 0], [5, 1, 0], [5, 2, 0], [4, 2, 0]], "2": [[4.0, 0.9999999999999999, 0.0], [4.0, 0.9999999999999999, 1.0], [5.0, 1.0, 1.0], [5.0, 1.0, 0.0]]}, "face_connections": {"6": ["5"], "5": ["6", "4", "2"], "4": ["5", "3"], "3": ["4", "1"], "1": ["3"], "2": ["5"]}, "valid": false}, "base_face": "1", "folding_steps": [["3", "1", [4, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "3", [4.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [5.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "5", [5.0, 1.0, 0.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "5", [5.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 3 upwards", "Fold face 4 downwards", "Fold face 5 downwards towards face 1", "Fold face 6 upwards towards face 3", "Fold face 2 inwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net14_base1_step1.png", "output_dir/folding_nets/random3_net14_base1_step2.png", "output_dir/folding_nets/random3_net14_base1_step3.png"], "id": "random3_net14_base1"} |
|
2d_perception_color_54_2 | What color is face 2 in the cube net shown in the image?
<image_0>
A. light purple
B. light orange
C. light blue
D. yellow | A | color | [
"A. light purple",
"B. light orange",
"C. light blue",
"D. yellow"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"6": [[4.0, 1.0, -9.494107596574928e-16], [5.0, 1.0, 0.0], [5.0, 2.0, 0.0], [4.0, 2.0, -9.494107596574928e-16]], "5": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "4": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0, 2.0, 1.0]], "3": [[4.0, 1.0, 1.0], [4.0, 1.0, 0.0], [4.0, 2.0, 0.0], [4.0, 2.0, 1.0]], "1": [[4, 1, 0], [5, 1, 0], [5, 2, 0], [4, 2, 0]], "2": [[4.0, 0.9999999999999999, 0.0], [4.0, 0.9999999999999999, 1.0], [5.0, 1.0, 1.0], [5.0, 1.0, 0.0]]}, "face_connections": {"6": ["5"], "5": ["6", "4", "2"], "4": ["5", "3"], "3": ["4", "1"], "1": ["3"], "2": ["5"]}, "valid": false}, "base_face": "1", "folding_steps": [["3", "1", [4, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "3", [4.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [5.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "5", [5.0, 1.0, 0.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "5", [5.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 3 upwards", "Fold face 4 downwards", "Fold face 5 downwards towards face 1", "Fold face 6 upwards towards face 3", "Fold face 2 inwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net14_base1_step1.png", "output_dir/folding_nets/random3_net14_base1_step2.png", "output_dir/folding_nets/random3_net14_base1_step3.png"], "id": "random3_net14_base1"} |
|
2d_perception_connectivity_54_5_3 | In the cube net shown in the image, is face 5 directly connected to face 3, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"6": [[4.0, 1.0, -9.494107596574928e-16], [5.0, 1.0, 0.0], [5.0, 2.0, 0.0], [4.0, 2.0, -9.494107596574928e-16]], "5": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "4": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0, 2.0, 1.0]], "3": [[4.0, 1.0, 1.0], [4.0, 1.0, 0.0], [4.0, 2.0, 0.0], [4.0, 2.0, 1.0]], "1": [[4, 1, 0], [5, 1, 0], [5, 2, 0], [4, 2, 0]], "2": [[4.0, 0.9999999999999999, 0.0], [4.0, 0.9999999999999999, 1.0], [5.0, 1.0, 1.0], [5.0, 1.0, 0.0]]}, "face_connections": {"6": ["5"], "5": ["6", "4", "2"], "4": ["5", "3"], "3": ["4", "1"], "1": ["3"], "2": ["5"]}, "valid": false}, "base_face": "1", "folding_steps": [["3", "1", [4, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "3", [4.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [5.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "5", [5.0, 1.0, 0.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "5", [5.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 3 upwards", "Fold face 4 downwards", "Fold face 5 downwards towards face 1", "Fold face 6 upwards towards face 3", "Fold face 2 inwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net14_base1_step1.png", "output_dir/folding_nets/random3_net14_base1_step2.png", "output_dir/folding_nets/random3_net14_base1_step3.png"], "id": "random3_net14_base1"} |
|
2d_perception_connectivity_54_5_4 | In the cube net shown in the image, is face 5 directly connected to face 4, yes or no?
<image_0> | B | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"6": [[4.0, 1.0, -9.494107596574928e-16], [5.0, 1.0, 0.0], [5.0, 2.0, 0.0], [4.0, 2.0, -9.494107596574928e-16]], "5": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "4": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0, 2.0, 1.0]], "3": [[4.0, 1.0, 1.0], [4.0, 1.0, 0.0], [4.0, 2.0, 0.0], [4.0, 2.0, 1.0]], "1": [[4, 1, 0], [5, 1, 0], [5, 2, 0], [4, 2, 0]], "2": [[4.0, 0.9999999999999999, 0.0], [4.0, 0.9999999999999999, 1.0], [5.0, 1.0, 1.0], [5.0, 1.0, 0.0]]}, "face_connections": {"6": ["5"], "5": ["6", "4", "2"], "4": ["5", "3"], "3": ["4", "1"], "1": ["3"], "2": ["5"]}, "valid": false}, "base_face": "1", "folding_steps": [["3", "1", [4, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "3", [4.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [5.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "5", [5.0, 1.0, 0.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "5", [5.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 3 upwards", "Fold face 4 downwards", "Fold face 5 downwards towards face 1", "Fold face 6 upwards towards face 3", "Fold face 2 inwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net14_base1_step1.png", "output_dir/folding_nets/random3_net14_base1_step2.png", "output_dir/folding_nets/random3_net14_base1_step3.png"], "id": "random3_net14_base1"} |
|
2d_perception_color_55_4 | What color is face 4 in the cube net shown in the image?
<image_0>
A. light blue
B. light red
C. yellow
D. light green | A | color | [
"A. light blue",
"B. light red",
"C. yellow",
"D. light green"
] | {"initial_net": {"name": "invalid_E", "faces": {"4": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 2.220446049250313e-16]], "3": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "1": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "2": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "6": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "5": [[3.0, 0.0, 0.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [3.0, 1.0, 0.0]]}, "face_connections": {"4": ["1"], "3": ["5"], "1": ["4", "2"], "2": ["1", "6"], "6": ["2", "5"], "5": ["6", "3"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [3, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "5", [3.0, 1.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966], ["2", "6", [2, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["1", "2", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "1", [2.0, 1.0, 1.0], [1.0, 0.0, 2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 3 inwards towards face 6", "Fold face 2 upwards towards face 3", "Fold face 1 downwards towards face 3", "Fold face 4 downwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net22_base6_step1.png", "output_dir/folding_nets/random1_net22_base6_step2.png", "output_dir/folding_nets/random1_net22_base6_step3.png", "output_dir/folding_nets/random1_net22_base6_step4.png"], "id": "random1_net22_base6"} |
|
2d_perception_color_55_2 | What color is face 2 in the cube net shown in the image?
<image_0>
A. light red
B. light purple
C. light green
D. light blue | B | color | [
"A. light red",
"B. light purple",
"C. light green",
"D. light blue"
] | {"initial_net": {"name": "invalid_E", "faces": {"4": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 2.220446049250313e-16]], "3": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "1": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "2": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "6": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "5": [[3.0, 0.0, 0.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [3.0, 1.0, 0.0]]}, "face_connections": {"4": ["1"], "3": ["5"], "1": ["4", "2"], "2": ["1", "6"], "6": ["2", "5"], "5": ["6", "3"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [3, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "5", [3.0, 1.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966], ["2", "6", [2, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["1", "2", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "1", [2.0, 1.0, 1.0], [1.0, 0.0, 2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 3 inwards towards face 6", "Fold face 2 upwards towards face 3", "Fold face 1 downwards towards face 3", "Fold face 4 downwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net22_base6_step1.png", "output_dir/folding_nets/random1_net22_base6_step2.png", "output_dir/folding_nets/random1_net22_base6_step3.png", "output_dir/folding_nets/random1_net22_base6_step4.png"], "id": "random1_net22_base6"} |
|
2d_perception_connectivity_55_3_6 | In the cube net shown in the image, is face 3 directly connected to face 6, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "invalid_E", "faces": {"4": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 2.220446049250313e-16]], "3": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "1": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "2": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "6": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "5": [[3.0, 0.0, 0.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [3.0, 1.0, 0.0]]}, "face_connections": {"4": ["1"], "3": ["5"], "1": ["4", "2"], "2": ["1", "6"], "6": ["2", "5"], "5": ["6", "3"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [3, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "5", [3.0, 1.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966], ["2", "6", [2, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["1", "2", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "1", [2.0, 1.0, 1.0], [1.0, 0.0, 2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 3 inwards towards face 6", "Fold face 2 upwards towards face 3", "Fold face 1 downwards towards face 3", "Fold face 4 downwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net22_base6_step1.png", "output_dir/folding_nets/random1_net22_base6_step2.png", "output_dir/folding_nets/random1_net22_base6_step3.png", "output_dir/folding_nets/random1_net22_base6_step4.png"], "id": "random1_net22_base6"} |
|
2d_perception_connectivity_55_4_5 | In the cube net shown in the image, is face 4 directly connected to face 5, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "invalid_E", "faces": {"4": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 2.220446049250313e-16]], "3": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "1": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "2": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "6": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "5": [[3.0, 0.0, 0.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [3.0, 1.0, 0.0]]}, "face_connections": {"4": ["1"], "3": ["5"], "1": ["4", "2"], "2": ["1", "6"], "6": ["2", "5"], "5": ["6", "3"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [3, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "5", [3.0, 1.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966], ["2", "6", [2, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["1", "2", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "1", [2.0, 1.0, 1.0], [1.0, 0.0, 2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 3 inwards towards face 6", "Fold face 2 upwards towards face 3", "Fold face 1 downwards towards face 3", "Fold face 4 downwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net22_base6_step1.png", "output_dir/folding_nets/random1_net22_base6_step2.png", "output_dir/folding_nets/random1_net22_base6_step3.png", "output_dir/folding_nets/random1_net22_base6_step4.png"], "id": "random1_net22_base6"} |
|
2d_perception_color_56_4 | What color is face 4 in the cube net shown in the image?
<image_0>
A. light purple
B. light red
C. light blue
D. light green | C | color | [
"A. light purple",
"B. light red",
"C. light blue",
"D. light green"
] | {"initial_net": {"name": "Invalid D", "faces": {"1": [[3.0, 3.0, -9.494107596574928e-16], [3.0, 2.0, -6.123233995736766e-17], [4.0, 2.0, 0.0], [4.0, 3.0, 0.0]], "2": [[4.0, 3.0, 0.0], [4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [4.0, 3.0, 1.0]], "3": [[4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 2.0, 0.0]], "4": [[4.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 3.0, 1.0], [4.0, 3.0, 1.0]], "5": [[3.0, 2.0, 1.0], [3.0, 2.0, 0.0], [3.0, 3.0, 0.0], [3.0, 3.0, 1.0]], "6": [[3, 2, 0], [4, 2, 0], [4, 3, 0], [3, 3, 0]]}, "face_connections": {"1": ["2"], "2": ["1", "3"], "3": ["2", "4"], "4": ["3", "5"], "5": ["4", "6"], "6": ["5"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [3, 2, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "5", [3.0, 2.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "4", [4.0, 2.0, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "3", [4.0, 2.0, 0.0], [0.0, 0.0, 1.0], 1.5707963267948966], ["1", "2", [4.0, 3.0, 0.0], [0.0, -1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 4 downwards", "Fold face 3 downwards towards face 5", "Fold face 2 inwards towards face 4", "Fold face 1 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/net19_base6_step1.png", "output_dir/folding_nets/net19_base6_step2.png", "output_dir/folding_nets/net19_base6_step3.png", "output_dir/folding_nets/net19_base6_step4.png"], "id": "net19_base6"} |
|
2d_perception_color_56_6 | What color is face 6 in the cube net shown in the image?
<image_0>
A. light red
B. yellow
C. light green
D. light purple | C | color | [
"A. light red",
"B. yellow",
"C. light green",
"D. light purple"
] | {"initial_net": {"name": "Invalid D", "faces": {"1": [[3.0, 3.0, -9.494107596574928e-16], [3.0, 2.0, -6.123233995736766e-17], [4.0, 2.0, 0.0], [4.0, 3.0, 0.0]], "2": [[4.0, 3.0, 0.0], [4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [4.0, 3.0, 1.0]], "3": [[4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 2.0, 0.0]], "4": [[4.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 3.0, 1.0], [4.0, 3.0, 1.0]], "5": [[3.0, 2.0, 1.0], [3.0, 2.0, 0.0], [3.0, 3.0, 0.0], [3.0, 3.0, 1.0]], "6": [[3, 2, 0], [4, 2, 0], [4, 3, 0], [3, 3, 0]]}, "face_connections": {"1": ["2"], "2": ["1", "3"], "3": ["2", "4"], "4": ["3", "5"], "5": ["4", "6"], "6": ["5"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [3, 2, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "5", [3.0, 2.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "4", [4.0, 2.0, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "3", [4.0, 2.0, 0.0], [0.0, 0.0, 1.0], 1.5707963267948966], ["1", "2", [4.0, 3.0, 0.0], [0.0, -1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 4 downwards", "Fold face 3 downwards towards face 5", "Fold face 2 inwards towards face 4", "Fold face 1 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/net19_base6_step1.png", "output_dir/folding_nets/net19_base6_step2.png", "output_dir/folding_nets/net19_base6_step3.png", "output_dir/folding_nets/net19_base6_step4.png"], "id": "net19_base6"} |
|
2d_perception_connectivity_56_1_4 | In the cube net shown in the image, is face 1 directly connected to face 4, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "Invalid D", "faces": {"1": [[3.0, 3.0, -9.494107596574928e-16], [3.0, 2.0, -6.123233995736766e-17], [4.0, 2.0, 0.0], [4.0, 3.0, 0.0]], "2": [[4.0, 3.0, 0.0], [4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [4.0, 3.0, 1.0]], "3": [[4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 2.0, 0.0]], "4": [[4.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 3.0, 1.0], [4.0, 3.0, 1.0]], "5": [[3.0, 2.0, 1.0], [3.0, 2.0, 0.0], [3.0, 3.0, 0.0], [3.0, 3.0, 1.0]], "6": [[3, 2, 0], [4, 2, 0], [4, 3, 0], [3, 3, 0]]}, "face_connections": {"1": ["2"], "2": ["1", "3"], "3": ["2", "4"], "4": ["3", "5"], "5": ["4", "6"], "6": ["5"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [3, 2, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "5", [3.0, 2.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "4", [4.0, 2.0, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "3", [4.0, 2.0, 0.0], [0.0, 0.0, 1.0], 1.5707963267948966], ["1", "2", [4.0, 3.0, 0.0], [0.0, -1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 4 downwards", "Fold face 3 downwards towards face 5", "Fold face 2 inwards towards face 4", "Fold face 1 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/net19_base6_step1.png", "output_dir/folding_nets/net19_base6_step2.png", "output_dir/folding_nets/net19_base6_step3.png", "output_dir/folding_nets/net19_base6_step4.png"], "id": "net19_base6"} |
|
2d_perception_connectivity_56_1_2 | In the cube net shown in the image, is face 1 directly connected to face 2, yes or no?
<image_0> | B | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Invalid D", "faces": {"1": [[3.0, 3.0, -9.494107596574928e-16], [3.0, 2.0, -6.123233995736766e-17], [4.0, 2.0, 0.0], [4.0, 3.0, 0.0]], "2": [[4.0, 3.0, 0.0], [4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [4.0, 3.0, 1.0]], "3": [[4.0, 2.0, 0.0], [4.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 2.0, 0.0]], "4": [[4.0, 2.0, 1.0], [3.0, 2.0, 1.0], [3.0, 3.0, 1.0], [4.0, 3.0, 1.0]], "5": [[3.0, 2.0, 1.0], [3.0, 2.0, 0.0], [3.0, 3.0, 0.0], [3.0, 3.0, 1.0]], "6": [[3, 2, 0], [4, 2, 0], [4, 3, 0], [3, 3, 0]]}, "face_connections": {"1": ["2"], "2": ["1", "3"], "3": ["2", "4"], "4": ["3", "5"], "5": ["4", "6"], "6": ["5"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [3, 2, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["4", "5", [3.0, 2.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "4", [4.0, 2.0, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "3", [4.0, 2.0, 0.0], [0.0, 0.0, 1.0], 1.5707963267948966], ["1", "2", [4.0, 3.0, 0.0], [0.0, -1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 4 downwards", "Fold face 3 downwards towards face 5", "Fold face 2 inwards towards face 4", "Fold face 1 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/net19_base6_step1.png", "output_dir/folding_nets/net19_base6_step2.png", "output_dir/folding_nets/net19_base6_step3.png", "output_dir/folding_nets/net19_base6_step4.png"], "id": "net19_base6"} |
|
2d_perception_color_57_1 | What color is face 1 in the cube net shown in the image?
<image_0>
A. light red
B. light blue
C. light orange
D. yellow | D | color | [
"A. light red",
"B. light blue",
"C. light orange",
"D. yellow"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"1": [[0.9999999999999999, -0.9999999999999999, 0.0], [1.0, -0.9999999999999999, 1.0], [1.0, -2.0, 1.0], [0.9999999999999999, -2.0, 0.0]], "3": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "4": [[2.0, -2.0, 0.0], [2.0, -2.0, 1.0], [2.0, -1.0, 1.0], [2.0, -1.0, 0.0]], "5": [[1.0, -1.0, 0.0], [2.0, -1.0, 0.0], [2.0, -0.9999999999999999, 1.0], [1.0, -0.9999999999999999, 1.0]], "2": [[1, -2, 0], [2, -2, 0], [2, -1, 0], [1, -1, 0]], "6": [[1.0, -2.0, 1.0], [2.0, -2.0, 1.0], [2.0, -2.0, 0.0], [1.0, -2.0, 0.0]]}, "face_connections": {"1": ["3"], "3": ["1", "5"], "4": ["2"], "5": ["3", "2"], "2": ["5", "4", "6"], "6": ["2"]}, "valid": true}, "base_face": "2", "folding_steps": [["6", "2", [1, -2, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["5", "2", [2, -1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "5", [2.0, -0.9999999999999999, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966], ["4", "2", [2, -2, 0], [0.0, 1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 5 upwards", "Fold face 3 downwards towards face 6", "Fold face 1 downwards towards face 5", "Fold face 4 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random3_net5_base2_step1.png", "output_dir/folding_nets/random3_net5_base2_step2.png", "output_dir/folding_nets/random3_net5_base2_step3.png", "output_dir/folding_nets/random3_net5_base2_step4.png", "output_dir/folding_nets/random3_net5_base2_step5.png", "output_dir/folding_nets/random3_net5_base2_step6.png"], "id": "random3_net5_base2"} |
|
2d_perception_color_57_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light red
B. light orange
C. light purple
D. light green | B | color | [
"A. light red",
"B. light orange",
"C. light purple",
"D. light green"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"1": [[0.9999999999999999, -0.9999999999999999, 0.0], [1.0, -0.9999999999999999, 1.0], [1.0, -2.0, 1.0], [0.9999999999999999, -2.0, 0.0]], "3": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "4": [[2.0, -2.0, 0.0], [2.0, -2.0, 1.0], [2.0, -1.0, 1.0], [2.0, -1.0, 0.0]], "5": [[1.0, -1.0, 0.0], [2.0, -1.0, 0.0], [2.0, -0.9999999999999999, 1.0], [1.0, -0.9999999999999999, 1.0]], "2": [[1, -2, 0], [2, -2, 0], [2, -1, 0], [1, -1, 0]], "6": [[1.0, -2.0, 1.0], [2.0, -2.0, 1.0], [2.0, -2.0, 0.0], [1.0, -2.0, 0.0]]}, "face_connections": {"1": ["3"], "3": ["1", "5"], "4": ["2"], "5": ["3", "2"], "2": ["5", "4", "6"], "6": ["2"]}, "valid": true}, "base_face": "2", "folding_steps": [["6", "2", [1, -2, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["5", "2", [2, -1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "5", [2.0, -0.9999999999999999, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966], ["4", "2", [2, -2, 0], [0.0, 1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 5 upwards", "Fold face 3 downwards towards face 6", "Fold face 1 downwards towards face 5", "Fold face 4 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random3_net5_base2_step1.png", "output_dir/folding_nets/random3_net5_base2_step2.png", "output_dir/folding_nets/random3_net5_base2_step3.png", "output_dir/folding_nets/random3_net5_base2_step4.png", "output_dir/folding_nets/random3_net5_base2_step5.png", "output_dir/folding_nets/random3_net5_base2_step6.png"], "id": "random3_net5_base2"} |
|
2d_perception_connectivity_57_4_6 | In the cube net shown in the image, is face 4 directly connected to face 6, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"1": [[0.9999999999999999, -0.9999999999999999, 0.0], [1.0, -0.9999999999999999, 1.0], [1.0, -2.0, 1.0], [0.9999999999999999, -2.0, 0.0]], "3": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "4": [[2.0, -2.0, 0.0], [2.0, -2.0, 1.0], [2.0, -1.0, 1.0], [2.0, -1.0, 0.0]], "5": [[1.0, -1.0, 0.0], [2.0, -1.0, 0.0], [2.0, -0.9999999999999999, 1.0], [1.0, -0.9999999999999999, 1.0]], "2": [[1, -2, 0], [2, -2, 0], [2, -1, 0], [1, -1, 0]], "6": [[1.0, -2.0, 1.0], [2.0, -2.0, 1.0], [2.0, -2.0, 0.0], [1.0, -2.0, 0.0]]}, "face_connections": {"1": ["3"], "3": ["1", "5"], "4": ["2"], "5": ["3", "2"], "2": ["5", "4", "6"], "6": ["2"]}, "valid": true}, "base_face": "2", "folding_steps": [["6", "2", [1, -2, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["5", "2", [2, -1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "5", [2.0, -0.9999999999999999, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966], ["4", "2", [2, -2, 0], [0.0, 1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 5 upwards", "Fold face 3 downwards towards face 6", "Fold face 1 downwards towards face 5", "Fold face 4 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random3_net5_base2_step1.png", "output_dir/folding_nets/random3_net5_base2_step2.png", "output_dir/folding_nets/random3_net5_base2_step3.png", "output_dir/folding_nets/random3_net5_base2_step4.png", "output_dir/folding_nets/random3_net5_base2_step5.png", "output_dir/folding_nets/random3_net5_base2_step6.png"], "id": "random3_net5_base2"} |
|
2d_perception_connectivity_57_1_4 | In the cube net shown in the image, is face 1 directly connected to face 4, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"1": [[0.9999999999999999, -0.9999999999999999, 0.0], [1.0, -0.9999999999999999, 1.0], [1.0, -2.0, 1.0], [0.9999999999999999, -2.0, 0.0]], "3": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "4": [[2.0, -2.0, 0.0], [2.0, -2.0, 1.0], [2.0, -1.0, 1.0], [2.0, -1.0, 0.0]], "5": [[1.0, -1.0, 0.0], [2.0, -1.0, 0.0], [2.0, -0.9999999999999999, 1.0], [1.0, -0.9999999999999999, 1.0]], "2": [[1, -2, 0], [2, -2, 0], [2, -1, 0], [1, -1, 0]], "6": [[1.0, -2.0, 1.0], [2.0, -2.0, 1.0], [2.0, -2.0, 0.0], [1.0, -2.0, 0.0]]}, "face_connections": {"1": ["3"], "3": ["1", "5"], "4": ["2"], "5": ["3", "2"], "2": ["5", "4", "6"], "6": ["2"]}, "valid": true}, "base_face": "2", "folding_steps": [["6", "2", [1, -2, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["5", "2", [2, -1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "5", [2.0, -0.9999999999999999, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966], ["4", "2", [2, -2, 0], [0.0, 1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 5 upwards", "Fold face 3 downwards towards face 6", "Fold face 1 downwards towards face 5", "Fold face 4 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random3_net5_base2_step1.png", "output_dir/folding_nets/random3_net5_base2_step2.png", "output_dir/folding_nets/random3_net5_base2_step3.png", "output_dir/folding_nets/random3_net5_base2_step4.png", "output_dir/folding_nets/random3_net5_base2_step5.png", "output_dir/folding_nets/random3_net5_base2_step6.png"], "id": "random3_net5_base2"} |
|
2d_perception_color_58_6 | What color is face 6 in the cube net shown in the image?
<image_0>
A. yellow
B. light orange
C. light red
D. light green | D | color | [
"A. yellow",
"B. light orange",
"C. light red",
"D. light green"
] | {"initial_net": {"name": "Big T Net", "faces": {"1": [[0.9999999999999999, -1.0, 6.123233995736766e-17], [1.0, 0.0, 0.0], [1.0, 6.123233995736765e-17, 1.0], [0.9999999999999999, -0.9999999999999999, 1.0]], "2": [[1.0, 0.0, 0.0], [2.0, 0.0, 0.0], [2.0, 6.123233995736766e-17, 1.0], [1.0, 6.123233995736766e-17, 1.0]], "3": [[2.0, 0.0, 0.0], [2.0, -1.0, 6.123233995736766e-17], [2.0, -0.9999999999999999, 1.0], [2.0, 6.123233995736765e-17, 1.0]], "4": [[1, -1, 0], [2, -1, 0], [2, 0, 0], [1, 0, 0]], "5": [[1.0, -1.0, 1.0], [2.0, -1.0, 1.0], [2.0, -1.0, 0.0], [1.0, -1.0, 0.0]], "6": [[1.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0000000000000002], [2.0, -1.0, 1.0], [1.0, -1.0, 1.0]]}, "face_connections": {"1": ["2"], "2": ["1", "3", "4"], "3": ["2"], "4": ["2", "5"], "5": ["4", "6"], "6": ["5"]}, "valid": true}, "base_face": "4", "folding_steps": [["5", "4", [1, -1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["6", "5", [1.0, -1.0, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "4", [2, 0, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "2", [1.0, 0.0, 0.0], [0.0, 6.123233995736766e-17, 1.0], 1.5707963267948966], ["3", "2", [2.0, 0.0, 0.0], [0.0, 6.123233995736766e-17, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 6 downwards", "Fold face 2 upwards towards face 6", "Fold face 1 inwards towards face 4", "Fold face 3 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/net3_base4_step1.png", "output_dir/folding_nets/net3_base4_step2.png", "output_dir/folding_nets/net3_base4_step3.png", "output_dir/folding_nets/net3_base4_step4.png", "output_dir/folding_nets/net3_base4_step5.png", "output_dir/folding_nets/net3_base4_step6.png"], "id": "net3_base4"} |
|
2d_perception_color_58_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light orange
B. light red
C. light purple
D. yellow | A | color | [
"A. light orange",
"B. light red",
"C. light purple",
"D. yellow"
] | {"initial_net": {"name": "Big T Net", "faces": {"1": [[0.9999999999999999, -1.0, 6.123233995736766e-17], [1.0, 0.0, 0.0], [1.0, 6.123233995736765e-17, 1.0], [0.9999999999999999, -0.9999999999999999, 1.0]], "2": [[1.0, 0.0, 0.0], [2.0, 0.0, 0.0], [2.0, 6.123233995736766e-17, 1.0], [1.0, 6.123233995736766e-17, 1.0]], "3": [[2.0, 0.0, 0.0], [2.0, -1.0, 6.123233995736766e-17], [2.0, -0.9999999999999999, 1.0], [2.0, 6.123233995736765e-17, 1.0]], "4": [[1, -1, 0], [2, -1, 0], [2, 0, 0], [1, 0, 0]], "5": [[1.0, -1.0, 1.0], [2.0, -1.0, 1.0], [2.0, -1.0, 0.0], [1.0, -1.0, 0.0]], "6": [[1.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0000000000000002], [2.0, -1.0, 1.0], [1.0, -1.0, 1.0]]}, "face_connections": {"1": ["2"], "2": ["1", "3", "4"], "3": ["2"], "4": ["2", "5"], "5": ["4", "6"], "6": ["5"]}, "valid": true}, "base_face": "4", "folding_steps": [["5", "4", [1, -1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["6", "5", [1.0, -1.0, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "4", [2, 0, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "2", [1.0, 0.0, 0.0], [0.0, 6.123233995736766e-17, 1.0], 1.5707963267948966], ["3", "2", [2.0, 0.0, 0.0], [0.0, 6.123233995736766e-17, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 6 downwards", "Fold face 2 upwards towards face 6", "Fold face 1 inwards towards face 4", "Fold face 3 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/net3_base4_step1.png", "output_dir/folding_nets/net3_base4_step2.png", "output_dir/folding_nets/net3_base4_step3.png", "output_dir/folding_nets/net3_base4_step4.png", "output_dir/folding_nets/net3_base4_step5.png", "output_dir/folding_nets/net3_base4_step6.png"], "id": "net3_base4"} |
|
2d_perception_connectivity_58_3_5 | In the cube net shown in the image, is face 3 directly connected to face 5, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "Big T Net", "faces": {"1": [[0.9999999999999999, -1.0, 6.123233995736766e-17], [1.0, 0.0, 0.0], [1.0, 6.123233995736765e-17, 1.0], [0.9999999999999999, -0.9999999999999999, 1.0]], "2": [[1.0, 0.0, 0.0], [2.0, 0.0, 0.0], [2.0, 6.123233995736766e-17, 1.0], [1.0, 6.123233995736766e-17, 1.0]], "3": [[2.0, 0.0, 0.0], [2.0, -1.0, 6.123233995736766e-17], [2.0, -0.9999999999999999, 1.0], [2.0, 6.123233995736765e-17, 1.0]], "4": [[1, -1, 0], [2, -1, 0], [2, 0, 0], [1, 0, 0]], "5": [[1.0, -1.0, 1.0], [2.0, -1.0, 1.0], [2.0, -1.0, 0.0], [1.0, -1.0, 0.0]], "6": [[1.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0000000000000002], [2.0, -1.0, 1.0], [1.0, -1.0, 1.0]]}, "face_connections": {"1": ["2"], "2": ["1", "3", "4"], "3": ["2"], "4": ["2", "5"], "5": ["4", "6"], "6": ["5"]}, "valid": true}, "base_face": "4", "folding_steps": [["5", "4", [1, -1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["6", "5", [1.0, -1.0, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "4", [2, 0, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "2", [1.0, 0.0, 0.0], [0.0, 6.123233995736766e-17, 1.0], 1.5707963267948966], ["3", "2", [2.0, 0.0, 0.0], [0.0, 6.123233995736766e-17, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 6 downwards", "Fold face 2 upwards towards face 6", "Fold face 1 inwards towards face 4", "Fold face 3 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/net3_base4_step1.png", "output_dir/folding_nets/net3_base4_step2.png", "output_dir/folding_nets/net3_base4_step3.png", "output_dir/folding_nets/net3_base4_step4.png", "output_dir/folding_nets/net3_base4_step5.png", "output_dir/folding_nets/net3_base4_step6.png"], "id": "net3_base4"} |
|
2d_perception_connectivity_58_1_2 | In the cube net shown in the image, is face 1 directly connected to face 2, yes or no?
<image_0> | A | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "Big T Net", "faces": {"1": [[0.9999999999999999, -1.0, 6.123233995736766e-17], [1.0, 0.0, 0.0], [1.0, 6.123233995736765e-17, 1.0], [0.9999999999999999, -0.9999999999999999, 1.0]], "2": [[1.0, 0.0, 0.0], [2.0, 0.0, 0.0], [2.0, 6.123233995736766e-17, 1.0], [1.0, 6.123233995736766e-17, 1.0]], "3": [[2.0, 0.0, 0.0], [2.0, -1.0, 6.123233995736766e-17], [2.0, -0.9999999999999999, 1.0], [2.0, 6.123233995736765e-17, 1.0]], "4": [[1, -1, 0], [2, -1, 0], [2, 0, 0], [1, 0, 0]], "5": [[1.0, -1.0, 1.0], [2.0, -1.0, 1.0], [2.0, -1.0, 0.0], [1.0, -1.0, 0.0]], "6": [[1.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0000000000000002], [2.0, -1.0, 1.0], [1.0, -1.0, 1.0]]}, "face_connections": {"1": ["2"], "2": ["1", "3", "4"], "3": ["2"], "4": ["2", "5"], "5": ["4", "6"], "6": ["5"]}, "valid": true}, "base_face": "4", "folding_steps": [["5", "4", [1, -1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["6", "5", [1.0, -1.0, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "4", [2, 0, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "2", [1.0, 0.0, 0.0], [0.0, 6.123233995736766e-17, 1.0], 1.5707963267948966], ["3", "2", [2.0, 0.0, 0.0], [0.0, 6.123233995736766e-17, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 6 downwards", "Fold face 2 upwards towards face 6", "Fold face 1 inwards towards face 4", "Fold face 3 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/net3_base4_step1.png", "output_dir/folding_nets/net3_base4_step2.png", "output_dir/folding_nets/net3_base4_step3.png", "output_dir/folding_nets/net3_base4_step4.png", "output_dir/folding_nets/net3_base4_step5.png", "output_dir/folding_nets/net3_base4_step6.png"], "id": "net3_base4"} |
|
2d_perception_color_59_4 | What color is face 4 in the cube net shown in the image?
<image_0>
A. yellow
B. light blue
C. light green
D. light orange | B | color | [
"A. yellow",
"B. light blue",
"C. light green",
"D. light orange"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "6": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "4": [[3, 1, 0], [4, 1, 0], [4, 2, 0], [3, 2, 0]], "1": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "3": [[4.0, 0.9999999999999999, 0.0], [3.0, 0.9999999999999999, 0.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]]}, "face_connections": {"5": ["6"], "6": ["5", "2", "3"], "2": ["6", "4"], "4": ["2", "1"], "1": ["4"], "3": ["6"]}, "valid": false}, "base_face": "4", "folding_steps": [["1", "4", [4, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [3, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "2", [3.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "6", [4.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "6", [4.0, 1.0, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 upwards", "Fold face 6 downwards towards face 1", "Fold face 5 downwards towards face 4", "Fold face 3 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net14_base4_step1.png", "output_dir/folding_nets/random2_net14_base4_step2.png", "output_dir/folding_nets/random2_net14_base4_step3.png"], "id": "random2_net14_base4"} |
|
2d_perception_color_59_6 | What color is face 6 in the cube net shown in the image?
<image_0>
A. light red
B. light green
C. light blue
D. yellow | B | color | [
"A. light red",
"B. light green",
"C. light blue",
"D. yellow"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "6": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "4": [[3, 1, 0], [4, 1, 0], [4, 2, 0], [3, 2, 0]], "1": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "3": [[4.0, 0.9999999999999999, 0.0], [3.0, 0.9999999999999999, 0.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]]}, "face_connections": {"5": ["6"], "6": ["5", "2", "3"], "2": ["6", "4"], "4": ["2", "1"], "1": ["4"], "3": ["6"]}, "valid": false}, "base_face": "4", "folding_steps": [["1", "4", [4, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [3, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "2", [3.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "6", [4.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "6", [4.0, 1.0, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 upwards", "Fold face 6 downwards towards face 1", "Fold face 5 downwards towards face 4", "Fold face 3 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net14_base4_step1.png", "output_dir/folding_nets/random2_net14_base4_step2.png", "output_dir/folding_nets/random2_net14_base4_step3.png"], "id": "random2_net14_base4"} |
|
2d_perception_connectivity_59_6_4 | In the cube net shown in the image, is face 6 directly connected to face 4, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "6": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "4": [[3, 1, 0], [4, 1, 0], [4, 2, 0], [3, 2, 0]], "1": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "3": [[4.0, 0.9999999999999999, 0.0], [3.0, 0.9999999999999999, 0.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]]}, "face_connections": {"5": ["6"], "6": ["5", "2", "3"], "2": ["6", "4"], "4": ["2", "1"], "1": ["4"], "3": ["6"]}, "valid": false}, "base_face": "4", "folding_steps": [["1", "4", [4, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [3, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "2", [3.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "6", [4.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "6", [4.0, 1.0, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 upwards", "Fold face 6 downwards towards face 1", "Fold face 5 downwards towards face 4", "Fold face 3 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net14_base4_step1.png", "output_dir/folding_nets/random2_net14_base4_step2.png", "output_dir/folding_nets/random2_net14_base4_step3.png"], "id": "random2_net14_base4"} |
|
2d_perception_connectivity_59_5_3 | In the cube net shown in the image, is face 5 directly connected to face 3, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "6": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "4": [[3, 1, 0], [4, 1, 0], [4, 2, 0], [3, 2, 0]], "1": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "3": [[4.0, 0.9999999999999999, 0.0], [3.0, 0.9999999999999999, 0.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]]}, "face_connections": {"5": ["6"], "6": ["5", "2", "3"], "2": ["6", "4"], "4": ["2", "1"], "1": ["4"], "3": ["6"]}, "valid": false}, "base_face": "4", "folding_steps": [["1", "4", [4, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [3, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["6", "2", [3.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "6", [4.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "6", [4.0, 1.0, 1.0], [-1.0, 0.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 upwards", "Fold face 6 downwards towards face 1", "Fold face 5 downwards towards face 4", "Fold face 3 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net14_base4_step1.png", "output_dir/folding_nets/random2_net14_base4_step2.png", "output_dir/folding_nets/random2_net14_base4_step3.png"], "id": "random2_net14_base4"} |
|
2d_perception_color_60_3 | What color is face 3 in the cube net shown in the image?
<image_0>
A. light red
B. yellow
C. light blue
D. light green | A | color | [
"A. light red",
"B. yellow",
"C. light blue",
"D. light green"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"5": [[2.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 1.0], [3.0, -2.0, 1.0], [2.0, -2.0, 1.0000000000000004]], "6": [[3.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 0.0], [3.0, -2.0, 0.0], [3.0, -2.0, 1.0]], "2": [[2, -2, 0], [3, -2, 0], [3, -1, 0], [2, -1, 0]], "4": [[2.0, -1.0, 1.0], [2.0, -1.0, 0.0], [3.0, -0.9999999999999999, 0.0], [3.0, -0.9999999999999999, 1.0]], "1": [[2.0, -2.0, 1.0], [2.0, -2.0, 0.0], [2.0, -1.0, 0.0], [2.0, -1.0, 1.0]], "3": [[3.0, -2.0, 1.0], [3.0, -2.0, 0.0], [2.0, -2.0, 0.0], [2.0, -2.0, 1.0]]}, "face_connections": {"5": ["6"], "6": ["5", "4"], "2": ["1"], "4": ["6", "1"], "1": ["4", "2", "3"], "3": ["1"]}, "valid": true}, "base_face": "2", "folding_steps": [["1", "2", [2, -2, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "1", [2.0, -2.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966], ["4", "1", [2.0, -1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "4", [3.0, -0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "6", [3.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 3 inwards towards face 2", "Fold face 4 inwards towards face 2", "Fold face 6 inwards towards face 2", "Fold face 5 downwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random2_net5_base2_step1.png", "output_dir/folding_nets/random2_net5_base2_step2.png", "output_dir/folding_nets/random2_net5_base2_step3.png", "output_dir/folding_nets/random2_net5_base2_step4.png", "output_dir/folding_nets/random2_net5_base2_step5.png", "output_dir/folding_nets/random2_net5_base2_step6.png"], "id": "random2_net5_base2"} |
|
2d_perception_color_60_1 | What color is face 1 in the cube net shown in the image?
<image_0>
A. yellow
B. light purple
C. light red
D. light orange | A | color | [
"A. yellow",
"B. light purple",
"C. light red",
"D. light orange"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"5": [[2.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 1.0], [3.0, -2.0, 1.0], [2.0, -2.0, 1.0000000000000004]], "6": [[3.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 0.0], [3.0, -2.0, 0.0], [3.0, -2.0, 1.0]], "2": [[2, -2, 0], [3, -2, 0], [3, -1, 0], [2, -1, 0]], "4": [[2.0, -1.0, 1.0], [2.0, -1.0, 0.0], [3.0, -0.9999999999999999, 0.0], [3.0, -0.9999999999999999, 1.0]], "1": [[2.0, -2.0, 1.0], [2.0, -2.0, 0.0], [2.0, -1.0, 0.0], [2.0, -1.0, 1.0]], "3": [[3.0, -2.0, 1.0], [3.0, -2.0, 0.0], [2.0, -2.0, 0.0], [2.0, -2.0, 1.0]]}, "face_connections": {"5": ["6"], "6": ["5", "4"], "2": ["1"], "4": ["6", "1"], "1": ["4", "2", "3"], "3": ["1"]}, "valid": true}, "base_face": "2", "folding_steps": [["1", "2", [2, -2, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "1", [2.0, -2.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966], ["4", "1", [2.0, -1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "4", [3.0, -0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "6", [3.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 3 inwards towards face 2", "Fold face 4 inwards towards face 2", "Fold face 6 inwards towards face 2", "Fold face 5 downwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random2_net5_base2_step1.png", "output_dir/folding_nets/random2_net5_base2_step2.png", "output_dir/folding_nets/random2_net5_base2_step3.png", "output_dir/folding_nets/random2_net5_base2_step4.png", "output_dir/folding_nets/random2_net5_base2_step5.png", "output_dir/folding_nets/random2_net5_base2_step6.png"], "id": "random2_net5_base2"} |
|
2d_perception_connectivity_60_2_1 | In the cube net shown in the image, is face 2 directly connected to face 1, yes or no?
<image_0> | B | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"5": [[2.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 1.0], [3.0, -2.0, 1.0], [2.0, -2.0, 1.0000000000000004]], "6": [[3.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 0.0], [3.0, -2.0, 0.0], [3.0, -2.0, 1.0]], "2": [[2, -2, 0], [3, -2, 0], [3, -1, 0], [2, -1, 0]], "4": [[2.0, -1.0, 1.0], [2.0, -1.0, 0.0], [3.0, -0.9999999999999999, 0.0], [3.0, -0.9999999999999999, 1.0]], "1": [[2.0, -2.0, 1.0], [2.0, -2.0, 0.0], [2.0, -1.0, 0.0], [2.0, -1.0, 1.0]], "3": [[3.0, -2.0, 1.0], [3.0, -2.0, 0.0], [2.0, -2.0, 0.0], [2.0, -2.0, 1.0]]}, "face_connections": {"5": ["6"], "6": ["5", "4"], "2": ["1"], "4": ["6", "1"], "1": ["4", "2", "3"], "3": ["1"]}, "valid": true}, "base_face": "2", "folding_steps": [["1", "2", [2, -2, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "1", [2.0, -2.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966], ["4", "1", [2.0, -1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "4", [3.0, -0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "6", [3.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 3 inwards towards face 2", "Fold face 4 inwards towards face 2", "Fold face 6 inwards towards face 2", "Fold face 5 downwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random2_net5_base2_step1.png", "output_dir/folding_nets/random2_net5_base2_step2.png", "output_dir/folding_nets/random2_net5_base2_step3.png", "output_dir/folding_nets/random2_net5_base2_step4.png", "output_dir/folding_nets/random2_net5_base2_step5.png", "output_dir/folding_nets/random2_net5_base2_step6.png"], "id": "random2_net5_base2"} |
|
2d_perception_connectivity_60_5_3 | In the cube net shown in the image, is face 5 directly connected to face 3, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"5": [[2.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 1.0], [3.0, -2.0, 1.0], [2.0, -2.0, 1.0000000000000004]], "6": [[3.0, -0.9999999999999999, 1.0], [3.0, -0.9999999999999999, 0.0], [3.0, -2.0, 0.0], [3.0, -2.0, 1.0]], "2": [[2, -2, 0], [3, -2, 0], [3, -1, 0], [2, -1, 0]], "4": [[2.0, -1.0, 1.0], [2.0, -1.0, 0.0], [3.0, -0.9999999999999999, 0.0], [3.0, -0.9999999999999999, 1.0]], "1": [[2.0, -2.0, 1.0], [2.0, -2.0, 0.0], [2.0, -1.0, 0.0], [2.0, -1.0, 1.0]], "3": [[3.0, -2.0, 1.0], [3.0, -2.0, 0.0], [2.0, -2.0, 0.0], [2.0, -2.0, 1.0]]}, "face_connections": {"5": ["6"], "6": ["5", "4"], "2": ["1"], "4": ["6", "1"], "1": ["4", "2", "3"], "3": ["1"]}, "valid": true}, "base_face": "2", "folding_steps": [["1", "2", [2, -2, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "1", [2.0, -2.0, 1.0], [0.0, 0.0, -1.0], -1.5707963267948966], ["4", "1", [2.0, -1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "4", [3.0, -0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "6", [3.0, -0.9999999999999999, 1.0], [0.0, -1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 3 inwards towards face 2", "Fold face 4 inwards towards face 2", "Fold face 6 inwards towards face 2", "Fold face 5 downwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random2_net5_base2_step1.png", "output_dir/folding_nets/random2_net5_base2_step2.png", "output_dir/folding_nets/random2_net5_base2_step3.png", "output_dir/folding_nets/random2_net5_base2_step4.png", "output_dir/folding_nets/random2_net5_base2_step5.png", "output_dir/folding_nets/random2_net5_base2_step6.png"], "id": "random2_net5_base2"} |
|
2d_perception_color_61_2 | What color is face 2 in the cube net shown in the image?
<image_0>
A. light purple
B. light green
C. yellow
D. light orange | A | color | [
"A. light purple",
"B. light green",
"C. yellow",
"D. light orange"
] | {"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"6": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "2": [[1.0, 1.0, 1.0], [0.9999999999999999, 2.0, 1.0000000000000002], [1.0, 2.0, 2.220446049250313e-16], [1.0, 1.0, 2.220446049250313e-16]], "3": [[0.0, 0.9999999999999999, 0.0], [0.0, 0.9999999999999999, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "4": [[0.0, 0.9999999999999999, 1.0], [-1.1102230246251568e-16, 2.0, 1.0000000000000002], [0.9999999999999999, 2.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "1": [[-1.1102230246251568e-16, 2.0, 1.0000000000000002], [-2.220446049250313e-16, 2.0000000000000004, 2.220446049250313e-16], [0.9999999999999998, 2.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, 2.0, 1.0000000000000002]]}, "face_connections": {"6": ["5"], "5": ["6", "2", "3"], "2": ["5", "4"], "3": ["5", "4"], "4": ["2", "3", "1"], "1": ["4"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [1, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "5", [1.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["4", "3", [0.0, 0.9999999999999999, 1.0], [1.0, 1.1102230246251565e-16, 0.0], -1.5707963267948966], ["1", "4", [-1.1102230246251568e-16, 2.0, 1.0000000000000002], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "4", [0.9999999999999999, 2.0, 1.0000000000000002], [1.1102230246251565e-16, -1.0, -2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 3 inwards towards face 6", "Fold face 4 downwards towards face 5", "Fold face 1 downwards towards face 6", "Fold face 2 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net23_base6_step1.png", "output_dir/folding_nets/random3_net23_base6_step2.png"], "id": "random3_net23_base6"} |
|
2d_perception_color_61_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light purple
B. yellow
C. light orange
D. light green | C | color | [
"A. light purple",
"B. yellow",
"C. light orange",
"D. light green"
] | {"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"6": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "2": [[1.0, 1.0, 1.0], [0.9999999999999999, 2.0, 1.0000000000000002], [1.0, 2.0, 2.220446049250313e-16], [1.0, 1.0, 2.220446049250313e-16]], "3": [[0.0, 0.9999999999999999, 0.0], [0.0, 0.9999999999999999, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "4": [[0.0, 0.9999999999999999, 1.0], [-1.1102230246251568e-16, 2.0, 1.0000000000000002], [0.9999999999999999, 2.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "1": [[-1.1102230246251568e-16, 2.0, 1.0000000000000002], [-2.220446049250313e-16, 2.0000000000000004, 2.220446049250313e-16], [0.9999999999999998, 2.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, 2.0, 1.0000000000000002]]}, "face_connections": {"6": ["5"], "5": ["6", "2", "3"], "2": ["5", "4"], "3": ["5", "4"], "4": ["2", "3", "1"], "1": ["4"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [1, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "5", [1.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["4", "3", [0.0, 0.9999999999999999, 1.0], [1.0, 1.1102230246251565e-16, 0.0], -1.5707963267948966], ["1", "4", [-1.1102230246251568e-16, 2.0, 1.0000000000000002], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "4", [0.9999999999999999, 2.0, 1.0000000000000002], [1.1102230246251565e-16, -1.0, -2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 3 inwards towards face 6", "Fold face 4 downwards towards face 5", "Fold face 1 downwards towards face 6", "Fold face 2 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net23_base6_step1.png", "output_dir/folding_nets/random3_net23_base6_step2.png"], "id": "random3_net23_base6"} |
|
2d_perception_connectivity_61_2_3 | In the cube net shown in the image, is face 2 directly connected to face 3, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"6": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "2": [[1.0, 1.0, 1.0], [0.9999999999999999, 2.0, 1.0000000000000002], [1.0, 2.0, 2.220446049250313e-16], [1.0, 1.0, 2.220446049250313e-16]], "3": [[0.0, 0.9999999999999999, 0.0], [0.0, 0.9999999999999999, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "4": [[0.0, 0.9999999999999999, 1.0], [-1.1102230246251568e-16, 2.0, 1.0000000000000002], [0.9999999999999999, 2.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "1": [[-1.1102230246251568e-16, 2.0, 1.0000000000000002], [-2.220446049250313e-16, 2.0000000000000004, 2.220446049250313e-16], [0.9999999999999998, 2.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, 2.0, 1.0000000000000002]]}, "face_connections": {"6": ["5"], "5": ["6", "2", "3"], "2": ["5", "4"], "3": ["5", "4"], "4": ["2", "3", "1"], "1": ["4"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [1, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "5", [1.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["4", "3", [0.0, 0.9999999999999999, 1.0], [1.0, 1.1102230246251565e-16, 0.0], -1.5707963267948966], ["1", "4", [-1.1102230246251568e-16, 2.0, 1.0000000000000002], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "4", [0.9999999999999999, 2.0, 1.0000000000000002], [1.1102230246251565e-16, -1.0, -2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 3 inwards towards face 6", "Fold face 4 downwards towards face 5", "Fold face 1 downwards towards face 6", "Fold face 2 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net23_base6_step1.png", "output_dir/folding_nets/random3_net23_base6_step2.png"], "id": "random3_net23_base6"} |
|
2d_perception_connectivity_61_6_2 | In the cube net shown in the image, is face 6 directly connected to face 2, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"6": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "2": [[1.0, 1.0, 1.0], [0.9999999999999999, 2.0, 1.0000000000000002], [1.0, 2.0, 2.220446049250313e-16], [1.0, 1.0, 2.220446049250313e-16]], "3": [[0.0, 0.9999999999999999, 0.0], [0.0, 0.9999999999999999, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "4": [[0.0, 0.9999999999999999, 1.0], [-1.1102230246251568e-16, 2.0, 1.0000000000000002], [0.9999999999999999, 2.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "1": [[-1.1102230246251568e-16, 2.0, 1.0000000000000002], [-2.220446049250313e-16, 2.0000000000000004, 2.220446049250313e-16], [0.9999999999999998, 2.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, 2.0, 1.0000000000000002]]}, "face_connections": {"6": ["5"], "5": ["6", "2", "3"], "2": ["5", "4"], "3": ["5", "4"], "4": ["2", "3", "1"], "1": ["4"]}, "valid": false}, "base_face": "6", "folding_steps": [["5", "6", [1, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "5", [1.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["4", "3", [0.0, 0.9999999999999999, 1.0], [1.0, 1.1102230246251565e-16, 0.0], -1.5707963267948966], ["1", "4", [-1.1102230246251568e-16, 2.0, 1.0000000000000002], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "4", [0.9999999999999999, 2.0, 1.0000000000000002], [1.1102230246251565e-16, -1.0, -2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 3 inwards towards face 6", "Fold face 4 downwards towards face 5", "Fold face 1 downwards towards face 6", "Fold face 2 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net23_base6_step1.png", "output_dir/folding_nets/random3_net23_base6_step2.png"], "id": "random3_net23_base6"} |
|
2d_perception_color_62_1 | What color is face 1 in the cube net shown in the image?
<image_0>
A. light blue
B. light green
C. yellow
D. light orange | C | color | [
"A. light blue",
"B. light green",
"C. yellow",
"D. light orange"
] | {"initial_net": {"name": "1-3-2 Net", "faces": {"2": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "5": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0000000000000004, 0.0, 0.0], [3.0000000000000004, 0.0, 1.0]], "3": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "6": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "1": [[2.0, -6.123233995736766e-17, 1.0], [3.0, -6.123233995736766e-17, 1.0], [3.0, 0.0, 0.0], [2.0, 0.0, 0.0]]}, "face_connections": {"2": ["4"], "5": ["3"], "3": ["5", "4"], "4": ["2", "3", "6"], "6": ["4", "1"], "1": ["6"]}, "valid": true}, "base_face": "6", "folding_steps": [["1", "6", [2, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "6", [2, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "4", [2.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "3", [3.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["2", "4", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 4 upwards towards face 1", "Fold face 3 inwards towards face 6", "Fold face 5 inwards towards face 6", "Fold face 2 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net11_base6_step1.png", "output_dir/folding_nets/random2_net11_base6_step2.png", "output_dir/folding_nets/random2_net11_base6_step3.png", "output_dir/folding_nets/random2_net11_base6_step4.png", "output_dir/folding_nets/random2_net11_base6_step5.png", "output_dir/folding_nets/random2_net11_base6_step6.png"], "id": "random2_net11_base6"} |
|
2d_perception_color_62_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light purple
B. light red
C. light green
D. light orange | D | color | [
"A. light purple",
"B. light red",
"C. light green",
"D. light orange"
] | {"initial_net": {"name": "1-3-2 Net", "faces": {"2": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "5": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0000000000000004, 0.0, 0.0], [3.0000000000000004, 0.0, 1.0]], "3": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "6": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "1": [[2.0, -6.123233995736766e-17, 1.0], [3.0, -6.123233995736766e-17, 1.0], [3.0, 0.0, 0.0], [2.0, 0.0, 0.0]]}, "face_connections": {"2": ["4"], "5": ["3"], "3": ["5", "4"], "4": ["2", "3", "6"], "6": ["4", "1"], "1": ["6"]}, "valid": true}, "base_face": "6", "folding_steps": [["1", "6", [2, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "6", [2, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "4", [2.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "3", [3.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["2", "4", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 4 upwards towards face 1", "Fold face 3 inwards towards face 6", "Fold face 5 inwards towards face 6", "Fold face 2 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net11_base6_step1.png", "output_dir/folding_nets/random2_net11_base6_step2.png", "output_dir/folding_nets/random2_net11_base6_step3.png", "output_dir/folding_nets/random2_net11_base6_step4.png", "output_dir/folding_nets/random2_net11_base6_step5.png", "output_dir/folding_nets/random2_net11_base6_step6.png"], "id": "random2_net11_base6"} |
|
2d_perception_connectivity_62_3_1 | In the cube net shown in the image, is face 3 directly connected to face 1, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "1-3-2 Net", "faces": {"2": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "5": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0000000000000004, 0.0, 0.0], [3.0000000000000004, 0.0, 1.0]], "3": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "6": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "1": [[2.0, -6.123233995736766e-17, 1.0], [3.0, -6.123233995736766e-17, 1.0], [3.0, 0.0, 0.0], [2.0, 0.0, 0.0]]}, "face_connections": {"2": ["4"], "5": ["3"], "3": ["5", "4"], "4": ["2", "3", "6"], "6": ["4", "1"], "1": ["6"]}, "valid": true}, "base_face": "6", "folding_steps": [["1", "6", [2, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "6", [2, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "4", [2.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "3", [3.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["2", "4", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 4 upwards towards face 1", "Fold face 3 inwards towards face 6", "Fold face 5 inwards towards face 6", "Fold face 2 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net11_base6_step1.png", "output_dir/folding_nets/random2_net11_base6_step2.png", "output_dir/folding_nets/random2_net11_base6_step3.png", "output_dir/folding_nets/random2_net11_base6_step4.png", "output_dir/folding_nets/random2_net11_base6_step5.png", "output_dir/folding_nets/random2_net11_base6_step6.png"], "id": "random2_net11_base6"} |
|
2d_perception_connectivity_62_2_6 | In the cube net shown in the image, is face 2 directly connected to face 6, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "1-3-2 Net", "faces": {"2": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "5": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0000000000000004, 0.0, 0.0], [3.0000000000000004, 0.0, 1.0]], "3": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "6": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "1": [[2.0, -6.123233995736766e-17, 1.0], [3.0, -6.123233995736766e-17, 1.0], [3.0, 0.0, 0.0], [2.0, 0.0, 0.0]]}, "face_connections": {"2": ["4"], "5": ["3"], "3": ["5", "4"], "4": ["2", "3", "6"], "6": ["4", "1"], "1": ["6"]}, "valid": true}, "base_face": "6", "folding_steps": [["1", "6", [2, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "6", [2, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["3", "4", [2.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "3", [3.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["2", "4", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 4 upwards towards face 1", "Fold face 3 inwards towards face 6", "Fold face 5 inwards towards face 6", "Fold face 2 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net11_base6_step1.png", "output_dir/folding_nets/random2_net11_base6_step2.png", "output_dir/folding_nets/random2_net11_base6_step3.png", "output_dir/folding_nets/random2_net11_base6_step4.png", "output_dir/folding_nets/random2_net11_base6_step5.png", "output_dir/folding_nets/random2_net11_base6_step6.png"], "id": "random2_net11_base6"} |
|
2d_perception_color_63_3 | What color is face 3 in the cube net shown in the image?
<image_0>
A. yellow
B. light red
C. light blue
D. light purple | B | color | [
"A. yellow",
"B. light red",
"C. light blue",
"D. light purple"
] | {"initial_net": {"name": "Big T Net", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "1": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "2": [[0.0, -6.123233995736766e-17, 0.0], [0.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[-1.2246467991473532e-16, 0.9999999999999999, 0.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [0.0, -6.123233995736766e-17, 1.0], [0.0, -6.123233995736766e-17, 0.0]], "5": [[0.9999999999999999, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 0.0]]}, "face_connections": {"3": ["4"], "4": ["3", "1", "2"], "1": ["4"], "2": ["4", "6"], "6": ["2", "5"], "5": ["6"]}, "valid": true}, "base_face": "3", "folding_steps": [["4", "3", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "4", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [1.0, 0.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "2", [0.0, -6.123233995736766e-17, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "6", [-1.2246467991473532e-16, 0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 1 downwards", "Fold face 2 inwards towards face 3", "Fold face 6 inwards towards face 3", "Fold face 5 inwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net3_base3_step1.png", "output_dir/folding_nets/random1_net3_base3_step2.png", "output_dir/folding_nets/random1_net3_base3_step3.png", "output_dir/folding_nets/random1_net3_base3_step4.png", "output_dir/folding_nets/random1_net3_base3_step5.png", "output_dir/folding_nets/random1_net3_base3_step6.png"], "id": "random1_net3_base3"} |
|
2d_perception_color_63_1 | What color is face 1 in the cube net shown in the image?
<image_0>
A. yellow
B. light orange
C. light blue
D. light red | A | color | [
"A. yellow",
"B. light orange",
"C. light blue",
"D. light red"
] | {"initial_net": {"name": "Big T Net", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "1": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "2": [[0.0, -6.123233995736766e-17, 0.0], [0.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[-1.2246467991473532e-16, 0.9999999999999999, 0.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [0.0, -6.123233995736766e-17, 1.0], [0.0, -6.123233995736766e-17, 0.0]], "5": [[0.9999999999999999, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 0.0]]}, "face_connections": {"3": ["4"], "4": ["3", "1", "2"], "1": ["4"], "2": ["4", "6"], "6": ["2", "5"], "5": ["6"]}, "valid": true}, "base_face": "3", "folding_steps": [["4", "3", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "4", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [1.0, 0.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "2", [0.0, -6.123233995736766e-17, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "6", [-1.2246467991473532e-16, 0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 1 downwards", "Fold face 2 inwards towards face 3", "Fold face 6 inwards towards face 3", "Fold face 5 inwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net3_base3_step1.png", "output_dir/folding_nets/random1_net3_base3_step2.png", "output_dir/folding_nets/random1_net3_base3_step3.png", "output_dir/folding_nets/random1_net3_base3_step4.png", "output_dir/folding_nets/random1_net3_base3_step5.png", "output_dir/folding_nets/random1_net3_base3_step6.png"], "id": "random1_net3_base3"} |
|
2d_perception_connectivity_63_1_2 | In the cube net shown in the image, is face 1 directly connected to face 2, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Big T Net", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "1": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "2": [[0.0, -6.123233995736766e-17, 0.0], [0.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[-1.2246467991473532e-16, 0.9999999999999999, 0.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [0.0, -6.123233995736766e-17, 1.0], [0.0, -6.123233995736766e-17, 0.0]], "5": [[0.9999999999999999, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 0.0]]}, "face_connections": {"3": ["4"], "4": ["3", "1", "2"], "1": ["4"], "2": ["4", "6"], "6": ["2", "5"], "5": ["6"]}, "valid": true}, "base_face": "3", "folding_steps": [["4", "3", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "4", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [1.0, 0.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "2", [0.0, -6.123233995736766e-17, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "6", [-1.2246467991473532e-16, 0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 1 downwards", "Fold face 2 inwards towards face 3", "Fold face 6 inwards towards face 3", "Fold face 5 inwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net3_base3_step1.png", "output_dir/folding_nets/random1_net3_base3_step2.png", "output_dir/folding_nets/random1_net3_base3_step3.png", "output_dir/folding_nets/random1_net3_base3_step4.png", "output_dir/folding_nets/random1_net3_base3_step5.png", "output_dir/folding_nets/random1_net3_base3_step6.png"], "id": "random1_net3_base3"} |
|
2d_perception_connectivity_63_3_6 | In the cube net shown in the image, is face 3 directly connected to face 6, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Big T Net", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "1": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "2": [[0.0, -6.123233995736766e-17, 0.0], [0.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[-1.2246467991473532e-16, 0.9999999999999999, 0.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [0.0, -6.123233995736766e-17, 1.0], [0.0, -6.123233995736766e-17, 0.0]], "5": [[0.9999999999999999, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 0.0]]}, "face_connections": {"3": ["4"], "4": ["3", "1", "2"], "1": ["4"], "2": ["4", "6"], "6": ["2", "5"], "5": ["6"]}, "valid": true}, "base_face": "3", "folding_steps": [["4", "3", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "4", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [1.0, 0.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "2", [0.0, -6.123233995736766e-17, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "6", [-1.2246467991473532e-16, 0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 1 downwards", "Fold face 2 inwards towards face 3", "Fold face 6 inwards towards face 3", "Fold face 5 inwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net3_base3_step1.png", "output_dir/folding_nets/random1_net3_base3_step2.png", "output_dir/folding_nets/random1_net3_base3_step3.png", "output_dir/folding_nets/random1_net3_base3_step4.png", "output_dir/folding_nets/random1_net3_base3_step5.png", "output_dir/folding_nets/random1_net3_base3_step6.png"], "id": "random1_net3_base3"} |
|
2d_perception_color_64_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light green
B. light orange
C. light blue
D. light purple | B | color | [
"A. light green",
"B. light orange",
"C. light blue",
"D. light purple"
] | {"initial_net": {"name": "Big T Net", "faces": {"4": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "1": [[0.0, -6.123233995736766e-17, 0.0], [0.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[-1.2246467991473532e-16, 0.9999999999999999, 0.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [0.0, -6.123233995736766e-17, 1.0], [0.0, -6.123233995736766e-17, 0.0]], "2": [[0.9999999999999999, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 0.0]]}, "face_connections": {"4": ["3"], "3": ["4", "5", "1"], "5": ["3"], "1": ["3", "6"], "6": ["1", "2"], "2": ["6"]}, "valid": true}, "base_face": "4", "folding_steps": [["3", "4", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "3", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, 0.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "1", [0.0, -6.123233995736766e-17, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["2", "6", [-1.2246467991473532e-16, 0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 3 upwards", "Fold face 5 downwards", "Fold face 1 inwards towards face 4", "Fold face 6 inwards towards face 4", "Fold face 2 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random3_net3_base4_step1.png", "output_dir/folding_nets/random3_net3_base4_step2.png", "output_dir/folding_nets/random3_net3_base4_step3.png", "output_dir/folding_nets/random3_net3_base4_step4.png", "output_dir/folding_nets/random3_net3_base4_step5.png", "output_dir/folding_nets/random3_net3_base4_step6.png"], "id": "random3_net3_base4"} |
|
2d_perception_color_64_4 | What color is face 4 in the cube net shown in the image?
<image_0>
A. light orange
B. light red
C. yellow
D. light blue | D | color | [
"A. light orange",
"B. light red",
"C. yellow",
"D. light blue"
] | {"initial_net": {"name": "Big T Net", "faces": {"4": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "1": [[0.0, -6.123233995736766e-17, 0.0], [0.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[-1.2246467991473532e-16, 0.9999999999999999, 0.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [0.0, -6.123233995736766e-17, 1.0], [0.0, -6.123233995736766e-17, 0.0]], "2": [[0.9999999999999999, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 0.0]]}, "face_connections": {"4": ["3"], "3": ["4", "5", "1"], "5": ["3"], "1": ["3", "6"], "6": ["1", "2"], "2": ["6"]}, "valid": true}, "base_face": "4", "folding_steps": [["3", "4", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "3", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, 0.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "1", [0.0, -6.123233995736766e-17, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["2", "6", [-1.2246467991473532e-16, 0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 3 upwards", "Fold face 5 downwards", "Fold face 1 inwards towards face 4", "Fold face 6 inwards towards face 4", "Fold face 2 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random3_net3_base4_step1.png", "output_dir/folding_nets/random3_net3_base4_step2.png", "output_dir/folding_nets/random3_net3_base4_step3.png", "output_dir/folding_nets/random3_net3_base4_step4.png", "output_dir/folding_nets/random3_net3_base4_step5.png", "output_dir/folding_nets/random3_net3_base4_step6.png"], "id": "random3_net3_base4"} |
|
2d_perception_connectivity_64_1_2 | In the cube net shown in the image, is face 1 directly connected to face 2, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Big T Net", "faces": {"4": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "1": [[0.0, -6.123233995736766e-17, 0.0], [0.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[-1.2246467991473532e-16, 0.9999999999999999, 0.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [0.0, -6.123233995736766e-17, 1.0], [0.0, -6.123233995736766e-17, 0.0]], "2": [[0.9999999999999999, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 0.0]]}, "face_connections": {"4": ["3"], "3": ["4", "5", "1"], "5": ["3"], "1": ["3", "6"], "6": ["1", "2"], "2": ["6"]}, "valid": true}, "base_face": "4", "folding_steps": [["3", "4", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "3", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, 0.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "1", [0.0, -6.123233995736766e-17, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["2", "6", [-1.2246467991473532e-16, 0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 3 upwards", "Fold face 5 downwards", "Fold face 1 inwards towards face 4", "Fold face 6 inwards towards face 4", "Fold face 2 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random3_net3_base4_step1.png", "output_dir/folding_nets/random3_net3_base4_step2.png", "output_dir/folding_nets/random3_net3_base4_step3.png", "output_dir/folding_nets/random3_net3_base4_step4.png", "output_dir/folding_nets/random3_net3_base4_step5.png", "output_dir/folding_nets/random3_net3_base4_step6.png"], "id": "random3_net3_base4"} |
|
2d_perception_connectivity_64_4_2 | In the cube net shown in the image, is face 4 directly connected to face 2, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Big T Net", "faces": {"4": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "1": [[0.0, -6.123233995736766e-17, 0.0], [0.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[-1.2246467991473532e-16, 0.9999999999999999, 0.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [0.0, -6.123233995736766e-17, 1.0], [0.0, -6.123233995736766e-17, 0.0]], "2": [[0.9999999999999999, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 1.0], [-1.2246467991473532e-16, 0.9999999999999999, 0.0]]}, "face_connections": {"4": ["3"], "3": ["4", "5", "1"], "5": ["3"], "1": ["3", "6"], "6": ["1", "2"], "2": ["6"]}, "valid": true}, "base_face": "4", "folding_steps": [["3", "4", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "3", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, 0.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["6", "1", [0.0, -6.123233995736766e-17, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["2", "6", [-1.2246467991473532e-16, 0.9999999999999999, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 3 upwards", "Fold face 5 downwards", "Fold face 1 inwards towards face 4", "Fold face 6 inwards towards face 4", "Fold face 2 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random3_net3_base4_step1.png", "output_dir/folding_nets/random3_net3_base4_step2.png", "output_dir/folding_nets/random3_net3_base4_step3.png", "output_dir/folding_nets/random3_net3_base4_step4.png", "output_dir/folding_nets/random3_net3_base4_step5.png", "output_dir/folding_nets/random3_net3_base4_step6.png"], "id": "random3_net3_base4"} |
|
2d_perception_color_65_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light orange
B. light purple
C. light green
D. yellow | A | color | [
"A. light orange",
"B. light purple",
"C. light green",
"D. yellow"
] | {"initial_net": {"name": "invalid_F", "faces": {"4": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 0.0, 1.0], [4.0, 0.0, 0.0]], "5": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 0.0, 1.0], [4.0, 0.0, 1.0]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 0.0, 6.123233995736766e-17], [3.0, 0.0, 1.0]], "6": [[3.0, 1.0, 0.0], [4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0]], "1": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "3": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0]]}, "face_connections": {"4": ["5"], "5": ["4", "2"], "2": ["5", "6", "1"], "6": ["2", "3"], "1": ["2", "3"], "3": ["6", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["6", "3", [4, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [3, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "1", [3.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "2", [3.0, 1.0, 1.0], [0.0, -1.0, 0.0], -1.5707963267948966], ["4", "5", [4.0, 1.0, 1.0], [0.0, -1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 1 upwards towards face 6", "Fold face 2 inwards towards face 3", "Fold face 5 downwards towards face 6", "Fold face 4 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net21_base3_step1.png", "output_dir/folding_nets/random3_net21_base3_step2.png"], "id": "random3_net21_base3"} |
|
2d_perception_color_65_4 | What color is face 4 in the cube net shown in the image?
<image_0>
A. light green
B. yellow
C. light blue
D. light orange | C | color | [
"A. light green",
"B. yellow",
"C. light blue",
"D. light orange"
] | {"initial_net": {"name": "invalid_F", "faces": {"4": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 0.0, 1.0], [4.0, 0.0, 0.0]], "5": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 0.0, 1.0], [4.0, 0.0, 1.0]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 0.0, 6.123233995736766e-17], [3.0, 0.0, 1.0]], "6": [[3.0, 1.0, 0.0], [4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0]], "1": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "3": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0]]}, "face_connections": {"4": ["5"], "5": ["4", "2"], "2": ["5", "6", "1"], "6": ["2", "3"], "1": ["2", "3"], "3": ["6", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["6", "3", [4, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [3, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "1", [3.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "2", [3.0, 1.0, 1.0], [0.0, -1.0, 0.0], -1.5707963267948966], ["4", "5", [4.0, 1.0, 1.0], [0.0, -1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 1 upwards towards face 6", "Fold face 2 inwards towards face 3", "Fold face 5 downwards towards face 6", "Fold face 4 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net21_base3_step1.png", "output_dir/folding_nets/random3_net21_base3_step2.png"], "id": "random3_net21_base3"} |
|
2d_perception_connectivity_65_4_5 | In the cube net shown in the image, is face 4 directly connected to face 5, yes or no?
<image_0> | B | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "invalid_F", "faces": {"4": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 0.0, 1.0], [4.0, 0.0, 0.0]], "5": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 0.0, 1.0], [4.0, 0.0, 1.0]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 0.0, 6.123233995736766e-17], [3.0, 0.0, 1.0]], "6": [[3.0, 1.0, 0.0], [4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0]], "1": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "3": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0]]}, "face_connections": {"4": ["5"], "5": ["4", "2"], "2": ["5", "6", "1"], "6": ["2", "3"], "1": ["2", "3"], "3": ["6", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["6", "3", [4, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [3, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "1", [3.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "2", [3.0, 1.0, 1.0], [0.0, -1.0, 0.0], -1.5707963267948966], ["4", "5", [4.0, 1.0, 1.0], [0.0, -1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 1 upwards towards face 6", "Fold face 2 inwards towards face 3", "Fold face 5 downwards towards face 6", "Fold face 4 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net21_base3_step1.png", "output_dir/folding_nets/random3_net21_base3_step2.png"], "id": "random3_net21_base3"} |
|
2d_perception_connectivity_65_4_6 | In the cube net shown in the image, is face 4 directly connected to face 6, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "invalid_F", "faces": {"4": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 0.0, 1.0], [4.0, 0.0, 0.0]], "5": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 0.0, 1.0], [4.0, 0.0, 1.0]], "2": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 0.0, 6.123233995736766e-17], [3.0, 0.0, 1.0]], "6": [[3.0, 1.0, 0.0], [4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [3.0, 1.0, 1.0]], "1": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "3": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0]]}, "face_connections": {"4": ["5"], "5": ["4", "2"], "2": ["5", "6", "1"], "6": ["2", "3"], "1": ["2", "3"], "3": ["6", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["6", "3", [4, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["1", "3", [3, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "1", [3.0, 1.0, 0.0], [0.0, 0.0, 1.0], -1.5707963267948966], ["5", "2", [3.0, 1.0, 1.0], [0.0, -1.0, 0.0], -1.5707963267948966], ["4", "5", [4.0, 1.0, 1.0], [0.0, -1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 1 upwards towards face 6", "Fold face 2 inwards towards face 3", "Fold face 5 downwards towards face 6", "Fold face 4 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net21_base3_step1.png", "output_dir/folding_nets/random3_net21_base3_step2.png"], "id": "random3_net21_base3"} |
|
2d_perception_color_66_1 | What color is face 1 in the cube net shown in the image?
<image_0>
A. light orange
B. light red
C. light purple
D. yellow | D | color | [
"A. light orange",
"B. light red",
"C. light purple",
"D. yellow"
] | {"initial_net": {"name": "invalid_E", "faces": {"4": [[4.0, 1.0, 3.3306690738754696e-16], [4.0, 2.0, 2.220446049250313e-16], [3.0, 2.0, 1.6081226496766364e-16], [3.0, 1.0, -6.163438522699459e-16]], "3": [[3, 1, 0], [4, 1, 0], [4, 2, 0], [3, 2, 0]], "1": [[4.0, 1.0, 1.0000000000000004], [4.0, 2.0, 1.0000000000000002], [4.0, 2.0, 2.220446049250313e-16], [4.0, 1.0, 3.3306690738754696e-16]], "2": [[4.0, 2.0, 1.0000000000000002], [3.0, 2.0, 1.0], [3.0, 2.0, 1.1102230246251565e-16], [4.0, 2.0, 2.220446049250313e-16]], "6": [[3.0, 2.0, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 1.1102230246251565e-16]], "5": [[3.0, 0.9999999999999999, 1.0], [4.0, 0.9999999999999999, 1.0], [4.0, 1.0, 0.0], [3.0, 1.0, 0.0]]}, "face_connections": {"4": ["1"], "3": ["5"], "1": ["4", "2"], "2": ["1", "6"], "6": ["2", "5"], "5": ["6", "3"]}, "valid": false}, "base_face": "3", "folding_steps": [["5", "3", [3, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["6", "5", [3.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], 1.5707963267948966], ["2", "6", [3.0, 2.0, 1.0], [0.0, 0.0, -1.0], 1.5707963267948966], ["1", "2", [4.0, 2.0, 1.0000000000000002], [0.0, 0.0, -1.0], 1.5707963267948966], ["4", "1", [4.0, 2.0, 2.220446049250313e-16], [0.0, -1.0, 1.1102230246251565e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 6 inwards towards face 3", "Fold face 2 inwards towards face 3", "Fold face 1 inwards towards face 3", "Fold face 4 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net22_base3_step1.png", "output_dir/folding_nets/random1_net22_base3_step2.png", "output_dir/folding_nets/random1_net22_base3_step3.png", "output_dir/folding_nets/random1_net22_base3_step4.png"], "id": "random1_net22_base3"} |
|
2d_perception_color_66_2 | What color is face 2 in the cube net shown in the image?
<image_0>
A. light blue
B. yellow
C. light red
D. light purple | D | color | [
"A. light blue",
"B. yellow",
"C. light red",
"D. light purple"
] | {"initial_net": {"name": "invalid_E", "faces": {"4": [[4.0, 1.0, 3.3306690738754696e-16], [4.0, 2.0, 2.220446049250313e-16], [3.0, 2.0, 1.6081226496766364e-16], [3.0, 1.0, -6.163438522699459e-16]], "3": [[3, 1, 0], [4, 1, 0], [4, 2, 0], [3, 2, 0]], "1": [[4.0, 1.0, 1.0000000000000004], [4.0, 2.0, 1.0000000000000002], [4.0, 2.0, 2.220446049250313e-16], [4.0, 1.0, 3.3306690738754696e-16]], "2": [[4.0, 2.0, 1.0000000000000002], [3.0, 2.0, 1.0], [3.0, 2.0, 1.1102230246251565e-16], [4.0, 2.0, 2.220446049250313e-16]], "6": [[3.0, 2.0, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 1.1102230246251565e-16]], "5": [[3.0, 0.9999999999999999, 1.0], [4.0, 0.9999999999999999, 1.0], [4.0, 1.0, 0.0], [3.0, 1.0, 0.0]]}, "face_connections": {"4": ["1"], "3": ["5"], "1": ["4", "2"], "2": ["1", "6"], "6": ["2", "5"], "5": ["6", "3"]}, "valid": false}, "base_face": "3", "folding_steps": [["5", "3", [3, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["6", "5", [3.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], 1.5707963267948966], ["2", "6", [3.0, 2.0, 1.0], [0.0, 0.0, -1.0], 1.5707963267948966], ["1", "2", [4.0, 2.0, 1.0000000000000002], [0.0, 0.0, -1.0], 1.5707963267948966], ["4", "1", [4.0, 2.0, 2.220446049250313e-16], [0.0, -1.0, 1.1102230246251565e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 6 inwards towards face 3", "Fold face 2 inwards towards face 3", "Fold face 1 inwards towards face 3", "Fold face 4 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net22_base3_step1.png", "output_dir/folding_nets/random1_net22_base3_step2.png", "output_dir/folding_nets/random1_net22_base3_step3.png", "output_dir/folding_nets/random1_net22_base3_step4.png"], "id": "random1_net22_base3"} |
|
2d_perception_connectivity_66_3_6 | In the cube net shown in the image, is face 3 directly connected to face 6, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "invalid_E", "faces": {"4": [[4.0, 1.0, 3.3306690738754696e-16], [4.0, 2.0, 2.220446049250313e-16], [3.0, 2.0, 1.6081226496766364e-16], [3.0, 1.0, -6.163438522699459e-16]], "3": [[3, 1, 0], [4, 1, 0], [4, 2, 0], [3, 2, 0]], "1": [[4.0, 1.0, 1.0000000000000004], [4.0, 2.0, 1.0000000000000002], [4.0, 2.0, 2.220446049250313e-16], [4.0, 1.0, 3.3306690738754696e-16]], "2": [[4.0, 2.0, 1.0000000000000002], [3.0, 2.0, 1.0], [3.0, 2.0, 1.1102230246251565e-16], [4.0, 2.0, 2.220446049250313e-16]], "6": [[3.0, 2.0, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 1.1102230246251565e-16]], "5": [[3.0, 0.9999999999999999, 1.0], [4.0, 0.9999999999999999, 1.0], [4.0, 1.0, 0.0], [3.0, 1.0, 0.0]]}, "face_connections": {"4": ["1"], "3": ["5"], "1": ["4", "2"], "2": ["1", "6"], "6": ["2", "5"], "5": ["6", "3"]}, "valid": false}, "base_face": "3", "folding_steps": [["5", "3", [3, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["6", "5", [3.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], 1.5707963267948966], ["2", "6", [3.0, 2.0, 1.0], [0.0, 0.0, -1.0], 1.5707963267948966], ["1", "2", [4.0, 2.0, 1.0000000000000002], [0.0, 0.0, -1.0], 1.5707963267948966], ["4", "1", [4.0, 2.0, 2.220446049250313e-16], [0.0, -1.0, 1.1102230246251565e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 6 inwards towards face 3", "Fold face 2 inwards towards face 3", "Fold face 1 inwards towards face 3", "Fold face 4 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net22_base3_step1.png", "output_dir/folding_nets/random1_net22_base3_step2.png", "output_dir/folding_nets/random1_net22_base3_step3.png", "output_dir/folding_nets/random1_net22_base3_step4.png"], "id": "random1_net22_base3"} |
|
2d_perception_connectivity_66_1_5 | In the cube net shown in the image, is face 1 directly connected to face 5, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "invalid_E", "faces": {"4": [[4.0, 1.0, 3.3306690738754696e-16], [4.0, 2.0, 2.220446049250313e-16], [3.0, 2.0, 1.6081226496766364e-16], [3.0, 1.0, -6.163438522699459e-16]], "3": [[3, 1, 0], [4, 1, 0], [4, 2, 0], [3, 2, 0]], "1": [[4.0, 1.0, 1.0000000000000004], [4.0, 2.0, 1.0000000000000002], [4.0, 2.0, 2.220446049250313e-16], [4.0, 1.0, 3.3306690738754696e-16]], "2": [[4.0, 2.0, 1.0000000000000002], [3.0, 2.0, 1.0], [3.0, 2.0, 1.1102230246251565e-16], [4.0, 2.0, 2.220446049250313e-16]], "6": [[3.0, 2.0, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 1.1102230246251565e-16]], "5": [[3.0, 0.9999999999999999, 1.0], [4.0, 0.9999999999999999, 1.0], [4.0, 1.0, 0.0], [3.0, 1.0, 0.0]]}, "face_connections": {"4": ["1"], "3": ["5"], "1": ["4", "2"], "2": ["1", "6"], "6": ["2", "5"], "5": ["6", "3"]}, "valid": false}, "base_face": "3", "folding_steps": [["5", "3", [3, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["6", "5", [3.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], 1.5707963267948966], ["2", "6", [3.0, 2.0, 1.0], [0.0, 0.0, -1.0], 1.5707963267948966], ["1", "2", [4.0, 2.0, 1.0000000000000002], [0.0, 0.0, -1.0], 1.5707963267948966], ["4", "1", [4.0, 2.0, 2.220446049250313e-16], [0.0, -1.0, 1.1102230246251565e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 6 inwards towards face 3", "Fold face 2 inwards towards face 3", "Fold face 1 inwards towards face 3", "Fold face 4 upwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random1_net22_base3_step1.png", "output_dir/folding_nets/random1_net22_base3_step2.png", "output_dir/folding_nets/random1_net22_base3_step3.png", "output_dir/folding_nets/random1_net22_base3_step4.png"], "id": "random1_net22_base3"} |
|
2d_perception_color_67_3 | What color is face 3 in the cube net shown in the image?
<image_0>
A. light red
B. light green
C. yellow
D. light purple | A | color | [
"A. light red",
"B. light green",
"C. yellow",
"D. light purple"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"1": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "2": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "3": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "4": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [3.0, 2.0, 0.0]], "5": [[3.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0]], "6": [[2.0, 0.9999999999999999, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [2.0, 1.0, 0.0]]}, "face_connections": {"1": ["2"], "2": ["1", "3"], "3": ["2", "4", "6"], "4": ["3", "5"], "5": ["4"], "6": ["3"]}, "valid": false}, "base_face": "3", "folding_steps": [["6", "3", [2, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "3", [3, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "4", [3.0, 1.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "3", [2, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["1", "2", [2.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 4 upwards towards face 6", "Fold face 5 downwards towards face 6", "Fold face 2 upwards towards face 5", "Fold face 1 downwards towards face 4"], "images_per_step": ["output_dir/folding_nets/net15_base3_step1.png", "output_dir/folding_nets/net15_base3_step2.png", "output_dir/folding_nets/net15_base3_step3.png", "output_dir/folding_nets/net15_base3_step4.png"], "id": "net15_base3"} |
|
2d_perception_color_67_6 | What color is face 6 in the cube net shown in the image?
<image_0>
A. light purple
B. light green
C. light orange
D. yellow | B | color | [
"A. light purple",
"B. light green",
"C. light orange",
"D. yellow"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"1": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "2": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "3": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "4": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [3.0, 2.0, 0.0]], "5": [[3.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0]], "6": [[2.0, 0.9999999999999999, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [2.0, 1.0, 0.0]]}, "face_connections": {"1": ["2"], "2": ["1", "3"], "3": ["2", "4", "6"], "4": ["3", "5"], "5": ["4"], "6": ["3"]}, "valid": false}, "base_face": "3", "folding_steps": [["6", "3", [2, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "3", [3, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "4", [3.0, 1.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "3", [2, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["1", "2", [2.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 4 upwards towards face 6", "Fold face 5 downwards towards face 6", "Fold face 2 upwards towards face 5", "Fold face 1 downwards towards face 4"], "images_per_step": ["output_dir/folding_nets/net15_base3_step1.png", "output_dir/folding_nets/net15_base3_step2.png", "output_dir/folding_nets/net15_base3_step3.png", "output_dir/folding_nets/net15_base3_step4.png"], "id": "net15_base3"} |
|
2d_perception_connectivity_67_1_6 | In the cube net shown in the image, is face 1 directly connected to face 6, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"1": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "2": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "3": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "4": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [3.0, 2.0, 0.0]], "5": [[3.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0]], "6": [[2.0, 0.9999999999999999, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [2.0, 1.0, 0.0]]}, "face_connections": {"1": ["2"], "2": ["1", "3"], "3": ["2", "4", "6"], "4": ["3", "5"], "5": ["4"], "6": ["3"]}, "valid": false}, "base_face": "3", "folding_steps": [["6", "3", [2, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "3", [3, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "4", [3.0, 1.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "3", [2, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["1", "2", [2.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 4 upwards towards face 6", "Fold face 5 downwards towards face 6", "Fold face 2 upwards towards face 5", "Fold face 1 downwards towards face 4"], "images_per_step": ["output_dir/folding_nets/net15_base3_step1.png", "output_dir/folding_nets/net15_base3_step2.png", "output_dir/folding_nets/net15_base3_step3.png", "output_dir/folding_nets/net15_base3_step4.png"], "id": "net15_base3"} |
|
2d_perception_connectivity_67_2_3 | In the cube net shown in the image, is face 2 directly connected to face 3, yes or no?
<image_0> | A | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"1": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "2": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "3": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "4": [[3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [3.0, 2.0, 0.0]], "5": [[3.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0]], "6": [[2.0, 0.9999999999999999, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [2.0, 1.0, 0.0]]}, "face_connections": {"1": ["2"], "2": ["1", "3"], "3": ["2", "4", "6"], "4": ["3", "5"], "5": ["4"], "6": ["3"]}, "valid": false}, "base_face": "3", "folding_steps": [["6", "3", [2, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "3", [3, 1, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "4", [3.0, 1.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "3", [2, 1, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["1", "2", [2.0, 1.0, 1.0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 4 upwards towards face 6", "Fold face 5 downwards towards face 6", "Fold face 2 upwards towards face 5", "Fold face 1 downwards towards face 4"], "images_per_step": ["output_dir/folding_nets/net15_base3_step1.png", "output_dir/folding_nets/net15_base3_step2.png", "output_dir/folding_nets/net15_base3_step3.png", "output_dir/folding_nets/net15_base3_step4.png"], "id": "net15_base3"} |
|
2d_perception_color_68_3 | What color is face 3 in the cube net shown in the image?
<image_0>
A. yellow
B. light red
C. light orange
D. light green | B | color | [
"A. yellow",
"B. light red",
"C. light orange",
"D. light green"
] | {"initial_net": {"name": "t-shaped Net", "faces": {"1": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "6": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "2": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "3": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "4": [[0.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], [0.0, 0.0, 0.0]]}, "face_connections": {"6": ["1"], "2": ["1"], "1": ["6", "2", "3", "4"], "3": ["1", "5"], "5": ["3"], "4": ["1"]}, "valid": true}, "base_face": "1", "folding_steps": [["6", "1", [1, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "1", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "3", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["4", "1", [0, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "1", [0, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 3 upwards towards face 6", "Fold face 5 downwards towards face 6", "Fold face 4 upwards towards face 3", "Fold face 2 upwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net0_base1_step1.png", "output_dir/folding_nets/random3_net0_base1_step2.png", "output_dir/folding_nets/random3_net0_base1_step3.png", "output_dir/folding_nets/random3_net0_base1_step4.png", "output_dir/folding_nets/random3_net0_base1_step5.png", "output_dir/folding_nets/random3_net0_base1_step6.png"], "id": "random3_net0_base1"} |
|
2d_perception_color_68_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light orange
B. light green
C. light purple
D. yellow | A | color | [
"A. light orange",
"B. light green",
"C. light purple",
"D. yellow"
] | {"initial_net": {"name": "t-shaped Net", "faces": {"1": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "6": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "2": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "3": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "4": [[0.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], [0.0, 0.0, 0.0]]}, "face_connections": {"6": ["1"], "2": ["1"], "1": ["6", "2", "3", "4"], "3": ["1", "5"], "5": ["3"], "4": ["1"]}, "valid": true}, "base_face": "1", "folding_steps": [["6", "1", [1, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "1", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "3", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["4", "1", [0, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "1", [0, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 3 upwards towards face 6", "Fold face 5 downwards towards face 6", "Fold face 4 upwards towards face 3", "Fold face 2 upwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net0_base1_step1.png", "output_dir/folding_nets/random3_net0_base1_step2.png", "output_dir/folding_nets/random3_net0_base1_step3.png", "output_dir/folding_nets/random3_net0_base1_step4.png", "output_dir/folding_nets/random3_net0_base1_step5.png", "output_dir/folding_nets/random3_net0_base1_step6.png"], "id": "random3_net0_base1"} |
|
2d_perception_connectivity_68_2_3 | In the cube net shown in the image, is face 2 directly connected to face 3, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "t-shaped Net", "faces": {"1": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "6": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "2": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "3": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "4": [[0.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], [0.0, 0.0, 0.0]]}, "face_connections": {"6": ["1"], "2": ["1"], "1": ["6", "2", "3", "4"], "3": ["1", "5"], "5": ["3"], "4": ["1"]}, "valid": true}, "base_face": "1", "folding_steps": [["6", "1", [1, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "1", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "3", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["4", "1", [0, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "1", [0, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 3 upwards towards face 6", "Fold face 5 downwards towards face 6", "Fold face 4 upwards towards face 3", "Fold face 2 upwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net0_base1_step1.png", "output_dir/folding_nets/random3_net0_base1_step2.png", "output_dir/folding_nets/random3_net0_base1_step3.png", "output_dir/folding_nets/random3_net0_base1_step4.png", "output_dir/folding_nets/random3_net0_base1_step5.png", "output_dir/folding_nets/random3_net0_base1_step6.png"], "id": "random3_net0_base1"} |
|
2d_perception_connectivity_68_2_4 | In the cube net shown in the image, is face 2 directly connected to face 4, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "t-shaped Net", "faces": {"1": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "6": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "2": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "3": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "4": [[0.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], [0.0, 0.0, 0.0]]}, "face_connections": {"6": ["1"], "2": ["1"], "1": ["6", "2", "3", "4"], "3": ["1", "5"], "5": ["3"], "4": ["1"]}, "valid": true}, "base_face": "1", "folding_steps": [["6", "1", [1, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "1", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "3", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["4", "1", [0, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "1", [0, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 6 upwards", "Fold face 3 upwards towards face 6", "Fold face 5 downwards towards face 6", "Fold face 4 upwards towards face 3", "Fold face 2 upwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random3_net0_base1_step1.png", "output_dir/folding_nets/random3_net0_base1_step2.png", "output_dir/folding_nets/random3_net0_base1_step3.png", "output_dir/folding_nets/random3_net0_base1_step4.png", "output_dir/folding_nets/random3_net0_base1_step5.png", "output_dir/folding_nets/random3_net0_base1_step6.png"], "id": "random3_net0_base1"} |
|
2d_perception_color_69_2 | What color is face 2 in the cube net shown in the image?
<image_0>
A. light purple
B. yellow
C. light green
D. light orange | A | color | [
"A. light purple",
"B. yellow",
"C. light green",
"D. light orange"
] | {"initial_net": {"name": "t-shaped Net", "faces": {"6": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "1": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "4": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "5": [[0.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], [0.0, 0.0, 0.0]]}, "face_connections": {"3": ["6"], "1": ["6"], "6": ["3", "1", "2", "5"], "2": ["6", "4"], "4": ["2"], "5": ["6"]}, "valid": true}, "base_face": "6", "folding_steps": [["1", "6", [0, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "6", [0, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["3", "6", [1, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "6", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["4", "2", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 upwards towards face 1", "Fold face 3 upwards towards face 1", "Fold face 2 upwards towards face 3", "Fold face 4 downwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random2_net0_base6_step1.png", "output_dir/folding_nets/random2_net0_base6_step2.png", "output_dir/folding_nets/random2_net0_base6_step3.png", "output_dir/folding_nets/random2_net0_base6_step4.png", "output_dir/folding_nets/random2_net0_base6_step5.png", "output_dir/folding_nets/random2_net0_base6_step6.png"], "id": "random2_net0_base6"} |
|
2d_perception_color_69_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light orange
B. light green
C. light red
D. light purple | A | color | [
"A. light orange",
"B. light green",
"C. light red",
"D. light purple"
] | {"initial_net": {"name": "t-shaped Net", "faces": {"6": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "1": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "4": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "5": [[0.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], [0.0, 0.0, 0.0]]}, "face_connections": {"3": ["6"], "1": ["6"], "6": ["3", "1", "2", "5"], "2": ["6", "4"], "4": ["2"], "5": ["6"]}, "valid": true}, "base_face": "6", "folding_steps": [["1", "6", [0, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "6", [0, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["3", "6", [1, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "6", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["4", "2", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 upwards towards face 1", "Fold face 3 upwards towards face 1", "Fold face 2 upwards towards face 3", "Fold face 4 downwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random2_net0_base6_step1.png", "output_dir/folding_nets/random2_net0_base6_step2.png", "output_dir/folding_nets/random2_net0_base6_step3.png", "output_dir/folding_nets/random2_net0_base6_step4.png", "output_dir/folding_nets/random2_net0_base6_step5.png", "output_dir/folding_nets/random2_net0_base6_step6.png"], "id": "random2_net0_base6"} |
|
2d_perception_connectivity_69_6_4 | In the cube net shown in the image, is face 6 directly connected to face 4, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "t-shaped Net", "faces": {"6": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "1": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "4": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "5": [[0.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], [0.0, 0.0, 0.0]]}, "face_connections": {"3": ["6"], "1": ["6"], "6": ["3", "1", "2", "5"], "2": ["6", "4"], "4": ["2"], "5": ["6"]}, "valid": true}, "base_face": "6", "folding_steps": [["1", "6", [0, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "6", [0, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["3", "6", [1, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "6", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["4", "2", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 upwards towards face 1", "Fold face 3 upwards towards face 1", "Fold face 2 upwards towards face 3", "Fold face 4 downwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random2_net0_base6_step1.png", "output_dir/folding_nets/random2_net0_base6_step2.png", "output_dir/folding_nets/random2_net0_base6_step3.png", "output_dir/folding_nets/random2_net0_base6_step4.png", "output_dir/folding_nets/random2_net0_base6_step5.png", "output_dir/folding_nets/random2_net0_base6_step6.png"], "id": "random2_net0_base6"} |
|
2d_perception_connectivity_69_2_5 | In the cube net shown in the image, is face 2 directly connected to face 5, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "t-shaped Net", "faces": {"6": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "1": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "4": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]], "5": [[0.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], [0.0, 0.0, 0.0]]}, "face_connections": {"3": ["6"], "1": ["6"], "6": ["3", "1", "2", "5"], "2": ["6", "4"], "4": ["2"], "5": ["6"]}, "valid": true}, "base_face": "6", "folding_steps": [["1", "6", [0, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "6", [0, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["3", "6", [1, 1, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["2", "6", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["4", "2", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 upwards towards face 1", "Fold face 3 upwards towards face 1", "Fold face 2 upwards towards face 3", "Fold face 4 downwards towards face 3"], "images_per_step": ["output_dir/folding_nets/random2_net0_base6_step1.png", "output_dir/folding_nets/random2_net0_base6_step2.png", "output_dir/folding_nets/random2_net0_base6_step3.png", "output_dir/folding_nets/random2_net0_base6_step4.png", "output_dir/folding_nets/random2_net0_base6_step5.png", "output_dir/folding_nets/random2_net0_base6_step6.png"], "id": "random2_net0_base6"} |
|
2d_perception_color_70_2 | What color is face 2 in the cube net shown in the image?
<image_0>
A. light purple
B. light orange
C. light red
D. light green | A | color | [
"A. light purple",
"B. light orange",
"C. light red",
"D. light green"
] | {"initial_net": {"name": "2 Rows of 3", "faces": {"2": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "6": [[2.0, 1.0, 0.9999999999999999], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, -1.1102230246251565e-16]], "4": [[1.0, 1.0, 1.0], [4.930380657631323e-32, 0.9999999999999998, 1.0000000000000002], [2.2204460492503123e-16, 0.0, 0.9999999999999999], [1.0000000000000002, 0.0, 0.9999999999999999]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]]}, "face_connections": {"2": ["6", "3"], "6": ["2", "4", "1"], "4": ["6", "5"], "3": ["2", "1"], "1": ["6", "3", "5"], "5": ["4", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["1", "3", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "1", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["6", "1", [2.0, 1.0, 0.9999999999999999], [-1.0, 0.0, 1.1102230246251565e-16], 1.5707963267948966], ["4", "5", [0.0, 1.0, 1.0000000000000002], [1.0, 0.0, -2.220446049250313e-16], -1.5707963267948966], ["2", "6", [0, 1, 0], [1.0, 0.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 downwards", "Fold face 6 downwards", "Fold face 4 upwards towards face 1", "Fold face 2 upwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random3_net18_base3_step1.png", "output_dir/folding_nets/random3_net18_base3_step2.png"], "id": "random3_net18_base3"} |
|
2d_perception_color_70_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. yellow
B. light red
C. light orange
D. light green | C | color | [
"A. yellow",
"B. light red",
"C. light orange",
"D. light green"
] | {"initial_net": {"name": "2 Rows of 3", "faces": {"2": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "6": [[2.0, 1.0, 0.9999999999999999], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, -1.1102230246251565e-16]], "4": [[1.0, 1.0, 1.0], [4.930380657631323e-32, 0.9999999999999998, 1.0000000000000002], [2.2204460492503123e-16, 0.0, 0.9999999999999999], [1.0000000000000002, 0.0, 0.9999999999999999]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]]}, "face_connections": {"2": ["6", "3"], "6": ["2", "4", "1"], "4": ["6", "5"], "3": ["2", "1"], "1": ["6", "3", "5"], "5": ["4", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["1", "3", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "1", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["6", "1", [2.0, 1.0, 0.9999999999999999], [-1.0, 0.0, 1.1102230246251565e-16], 1.5707963267948966], ["4", "5", [0.0, 1.0, 1.0000000000000002], [1.0, 0.0, -2.220446049250313e-16], -1.5707963267948966], ["2", "6", [0, 1, 0], [1.0, 0.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 downwards", "Fold face 6 downwards", "Fold face 4 upwards towards face 1", "Fold face 2 upwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random3_net18_base3_step1.png", "output_dir/folding_nets/random3_net18_base3_step2.png"], "id": "random3_net18_base3"} |
|
2d_perception_connectivity_70_2_6 | In the cube net shown in the image, is face 2 directly connected to face 6, yes or no?
<image_0> | B | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "2 Rows of 3", "faces": {"2": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "6": [[2.0, 1.0, 0.9999999999999999], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, -1.1102230246251565e-16]], "4": [[1.0, 1.0, 1.0], [4.930380657631323e-32, 0.9999999999999998, 1.0000000000000002], [2.2204460492503123e-16, 0.0, 0.9999999999999999], [1.0000000000000002, 0.0, 0.9999999999999999]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]]}, "face_connections": {"2": ["6", "3"], "6": ["2", "4", "1"], "4": ["6", "5"], "3": ["2", "1"], "1": ["6", "3", "5"], "5": ["4", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["1", "3", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "1", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["6", "1", [2.0, 1.0, 0.9999999999999999], [-1.0, 0.0, 1.1102230246251565e-16], 1.5707963267948966], ["4", "5", [0.0, 1.0, 1.0000000000000002], [1.0, 0.0, -2.220446049250313e-16], -1.5707963267948966], ["2", "6", [0, 1, 0], [1.0, 0.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 downwards", "Fold face 6 downwards", "Fold face 4 upwards towards face 1", "Fold face 2 upwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random3_net18_base3_step1.png", "output_dir/folding_nets/random3_net18_base3_step2.png"], "id": "random3_net18_base3"} |
|
2d_perception_connectivity_70_4_1 | In the cube net shown in the image, is face 4 directly connected to face 1, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "2 Rows of 3", "faces": {"2": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "6": [[2.0, 1.0, 0.9999999999999999], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, -1.1102230246251565e-16]], "4": [[1.0, 1.0, 1.0], [4.930380657631323e-32, 0.9999999999999998, 1.0000000000000002], [2.2204460492503123e-16, 0.0, 0.9999999999999999], [1.0000000000000002, 0.0, 0.9999999999999999]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "5": [[1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002], [0.0, 1.0, 1.0000000000000002], [1.0, 1.0, 1.0]]}, "face_connections": {"2": ["6", "3"], "6": ["2", "4", "1"], "4": ["6", "5"], "3": ["2", "1"], "1": ["6", "3", "5"], "5": ["4", "1"]}, "valid": false}, "base_face": "3", "folding_steps": [["1", "3", [1, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["5", "1", [1.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["6", "1", [2.0, 1.0, 0.9999999999999999], [-1.0, 0.0, 1.1102230246251565e-16], 1.5707963267948966], ["4", "5", [0.0, 1.0, 1.0000000000000002], [1.0, 0.0, -2.220446049250313e-16], -1.5707963267948966], ["2", "6", [0, 1, 0], [1.0, 0.0, 0.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 downwards", "Fold face 6 downwards", "Fold face 4 upwards towards face 1", "Fold face 2 upwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random3_net18_base3_step1.png", "output_dir/folding_nets/random3_net18_base3_step2.png"], "id": "random3_net18_base3"} |
|
2d_perception_color_71_2 | What color is face 2 in the cube net shown in the image?
<image_0>
A. light orange
B. light green
C. light red
D. light purple | D | color | [
"A. light orange",
"B. light green",
"C. light red",
"D. light purple"
] | {"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"4": [[3.0, 2.0000000000000004, 1.0000000000000002], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [3.0, 2.0000000000000004, 2.220446049250313e-16]], "3": [[3.0, 1.0000000000000004, 1.0000000000000004], [3.0, 2.0000000000000004, 1.0000000000000002], [3.0, 2.0000000000000004, 2.220446049250313e-16], [3.0, 1.0000000000000004, 3.3306690738754696e-16]], "2": [[2.0, 2.0, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 1.1102230246251565e-16]], "1": [[2.0, 0.9999999999999999, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [2.0, 1.0, 0.0]], "6": [[3.0000000000000004, 1.0000000000000007, 0.9999999999999999], [2.0000000000000004, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0000000000000004, 1.0000000000000002]], "5": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]]}, "face_connections": {"5": ["1"], "3": ["4"], "4": ["3", "2", "6"], "2": ["4", "1"], "1": ["5", "2"], "6": ["4"]}, "valid": true}, "base_face": "5", "folding_steps": [["1", "5", [2, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "1", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], 1.5707963267948966], ["4", "2", [2.0, 2.0, 1.0], [0.0, 0.0, -1.0], 1.5707963267948966], ["6", "4", [3.0, 2.0000000000000004, 1.0000000000000002], [-1.0, -4.440892098500626e-16, -2.220446049250313e-16], -1.5707963267948966], ["3", "4", [3.0, 2.0000000000000004, 1.0000000000000002], [0.0, 0.0, -1.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 inwards towards face 5", "Fold face 4 inwards towards face 5", "Fold face 6 downwards towards face 2", "Fold face 3 inwards towards face 1"], "images_per_step": ["output_dir/folding_nets/random3_net2_base5_step1.png", "output_dir/folding_nets/random3_net2_base5_step2.png", "output_dir/folding_nets/random3_net2_base5_step3.png", "output_dir/folding_nets/random3_net2_base5_step4.png", "output_dir/folding_nets/random3_net2_base5_step5.png", "output_dir/folding_nets/random3_net2_base5_step6.png"], "id": "random3_net2_base5"} |
|
2d_perception_color_71_4 | What color is face 4 in the cube net shown in the image?
<image_0>
A. light blue
B. yellow
C. light red
D. light orange | A | color | [
"A. light blue",
"B. yellow",
"C. light red",
"D. light orange"
] | {"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"4": [[3.0, 2.0000000000000004, 1.0000000000000002], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [3.0, 2.0000000000000004, 2.220446049250313e-16]], "3": [[3.0, 1.0000000000000004, 1.0000000000000004], [3.0, 2.0000000000000004, 1.0000000000000002], [3.0, 2.0000000000000004, 2.220446049250313e-16], [3.0, 1.0000000000000004, 3.3306690738754696e-16]], "2": [[2.0, 2.0, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 1.1102230246251565e-16]], "1": [[2.0, 0.9999999999999999, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [2.0, 1.0, 0.0]], "6": [[3.0000000000000004, 1.0000000000000007, 0.9999999999999999], [2.0000000000000004, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0000000000000004, 1.0000000000000002]], "5": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]]}, "face_connections": {"5": ["1"], "3": ["4"], "4": ["3", "2", "6"], "2": ["4", "1"], "1": ["5", "2"], "6": ["4"]}, "valid": true}, "base_face": "5", "folding_steps": [["1", "5", [2, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "1", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], 1.5707963267948966], ["4", "2", [2.0, 2.0, 1.0], [0.0, 0.0, -1.0], 1.5707963267948966], ["6", "4", [3.0, 2.0000000000000004, 1.0000000000000002], [-1.0, -4.440892098500626e-16, -2.220446049250313e-16], -1.5707963267948966], ["3", "4", [3.0, 2.0000000000000004, 1.0000000000000002], [0.0, 0.0, -1.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 inwards towards face 5", "Fold face 4 inwards towards face 5", "Fold face 6 downwards towards face 2", "Fold face 3 inwards towards face 1"], "images_per_step": ["output_dir/folding_nets/random3_net2_base5_step1.png", "output_dir/folding_nets/random3_net2_base5_step2.png", "output_dir/folding_nets/random3_net2_base5_step3.png", "output_dir/folding_nets/random3_net2_base5_step4.png", "output_dir/folding_nets/random3_net2_base5_step5.png", "output_dir/folding_nets/random3_net2_base5_step6.png"], "id": "random3_net2_base5"} |
|
2d_perception_connectivity_71_3_2 | In the cube net shown in the image, is face 3 directly connected to face 2, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"4": [[3.0, 2.0000000000000004, 1.0000000000000002], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [3.0, 2.0000000000000004, 2.220446049250313e-16]], "3": [[3.0, 1.0000000000000004, 1.0000000000000004], [3.0, 2.0000000000000004, 1.0000000000000002], [3.0, 2.0000000000000004, 2.220446049250313e-16], [3.0, 1.0000000000000004, 3.3306690738754696e-16]], "2": [[2.0, 2.0, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 1.1102230246251565e-16]], "1": [[2.0, 0.9999999999999999, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [2.0, 1.0, 0.0]], "6": [[3.0000000000000004, 1.0000000000000007, 0.9999999999999999], [2.0000000000000004, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0000000000000004, 1.0000000000000002]], "5": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]]}, "face_connections": {"5": ["1"], "3": ["4"], "4": ["3", "2", "6"], "2": ["4", "1"], "1": ["5", "2"], "6": ["4"]}, "valid": true}, "base_face": "5", "folding_steps": [["1", "5", [2, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "1", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], 1.5707963267948966], ["4", "2", [2.0, 2.0, 1.0], [0.0, 0.0, -1.0], 1.5707963267948966], ["6", "4", [3.0, 2.0000000000000004, 1.0000000000000002], [-1.0, -4.440892098500626e-16, -2.220446049250313e-16], -1.5707963267948966], ["3", "4", [3.0, 2.0000000000000004, 1.0000000000000002], [0.0, 0.0, -1.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 inwards towards face 5", "Fold face 4 inwards towards face 5", "Fold face 6 downwards towards face 2", "Fold face 3 inwards towards face 1"], "images_per_step": ["output_dir/folding_nets/random3_net2_base5_step1.png", "output_dir/folding_nets/random3_net2_base5_step2.png", "output_dir/folding_nets/random3_net2_base5_step3.png", "output_dir/folding_nets/random3_net2_base5_step4.png", "output_dir/folding_nets/random3_net2_base5_step5.png", "output_dir/folding_nets/random3_net2_base5_step6.png"], "id": "random3_net2_base5"} |
|
2d_perception_connectivity_71_3_5 | In the cube net shown in the image, is face 3 directly connected to face 5, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"4": [[3.0, 2.0000000000000004, 1.0000000000000002], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [3.0, 2.0000000000000004, 2.220446049250313e-16]], "3": [[3.0, 1.0000000000000004, 1.0000000000000004], [3.0, 2.0000000000000004, 1.0000000000000002], [3.0, 2.0000000000000004, 2.220446049250313e-16], [3.0, 1.0000000000000004, 3.3306690738754696e-16]], "2": [[2.0, 2.0, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 1.1102230246251565e-16]], "1": [[2.0, 0.9999999999999999, 1.0], [3.0, 0.9999999999999999, 1.0], [3.0, 1.0, 0.0], [2.0, 1.0, 0.0]], "6": [[3.0000000000000004, 1.0000000000000007, 0.9999999999999999], [2.0000000000000004, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0000000000000004, 1.0000000000000002]], "5": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]]}, "face_connections": {"5": ["1"], "3": ["4"], "4": ["3", "2", "6"], "2": ["4", "1"], "1": ["5", "2"], "6": ["4"]}, "valid": true}, "base_face": "5", "folding_steps": [["1", "5", [2, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["2", "1", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], 1.5707963267948966], ["4", "2", [2.0, 2.0, 1.0], [0.0, 0.0, -1.0], 1.5707963267948966], ["6", "4", [3.0, 2.0000000000000004, 1.0000000000000002], [-1.0, -4.440892098500626e-16, -2.220446049250313e-16], -1.5707963267948966], ["3", "4", [3.0, 2.0000000000000004, 1.0000000000000002], [0.0, 0.0, -1.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 2 inwards towards face 5", "Fold face 4 inwards towards face 5", "Fold face 6 downwards towards face 2", "Fold face 3 inwards towards face 1"], "images_per_step": ["output_dir/folding_nets/random3_net2_base5_step1.png", "output_dir/folding_nets/random3_net2_base5_step2.png", "output_dir/folding_nets/random3_net2_base5_step3.png", "output_dir/folding_nets/random3_net2_base5_step4.png", "output_dir/folding_nets/random3_net2_base5_step5.png", "output_dir/folding_nets/random3_net2_base5_step6.png"], "id": "random3_net2_base5"} |
|
2d_perception_color_72_6 | What color is face 6 in the cube net shown in the image?
<image_0>
A. light red
B. light green
C. light purple
D. light blue | B | color | [
"A. light red",
"B. light green",
"C. light purple",
"D. light blue"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"5": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "3": [[2.0, 0.9999999999999999, 1.0000000000000002], [2.0, 1.0, 2.220446049250313e-16], [2.0, 1.1102230246251565e-16, 0.0], [2.0, -1.1102230246251565e-16, 1.0]], "2": [[1.0, -6.123233995736766e-17, 1.0], [2.0, -6.123233995736766e-17, 1.0], [2.0, 0.0, 0.0], [1.0, 0.0, 0.0]], "4": [[1.0, 0.9999999999999999, 1.0000000000000002], [2.0, 0.9999999999999999, 1.0000000000000002], [2.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0]], "1": [[1.0, 1.0, 2.220446049250313e-16], [2.0, 1.0, 2.220446049250313e-16], [2.0, 0.9999999999999999, 1.0000000000000002], [1.0, 0.9999999999999999, 1.0000000000000002]]}, "face_connections": {"5": ["6"], "6": ["5", "2"], "3": ["4"], "2": ["6", "4"], "4": ["2", "3", "1"], "1": ["4"]}, "valid": true}, "base_face": "6", "folding_steps": [["5", "6", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "6", [1, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "2", [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966], ["1", "4", [1.0, 0.9999999999999999, 1.0000000000000002], [1.0, 0.0, 0.0], -1.5707963267948966], ["3", "4", [2.0, 0.9999999999999999, 1.0000000000000002], [0.0, -1.0, -2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 2 upwards towards face 5", "Fold face 4 downwards towards face 5", "Fold face 1 downwards towards face 5", "Fold face 3 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random1_net5_base6_step1.png", "output_dir/folding_nets/random1_net5_base6_step2.png", "output_dir/folding_nets/random1_net5_base6_step3.png", "output_dir/folding_nets/random1_net5_base6_step4.png", "output_dir/folding_nets/random1_net5_base6_step5.png", "output_dir/folding_nets/random1_net5_base6_step6.png"], "id": "random1_net5_base6"} |
|
2d_perception_color_72_3 | What color is face 3 in the cube net shown in the image?
<image_0>
A. light red
B. light green
C. light purple
D. light blue | A | color | [
"A. light red",
"B. light green",
"C. light purple",
"D. light blue"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"5": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "3": [[2.0, 0.9999999999999999, 1.0000000000000002], [2.0, 1.0, 2.220446049250313e-16], [2.0, 1.1102230246251565e-16, 0.0], [2.0, -1.1102230246251565e-16, 1.0]], "2": [[1.0, -6.123233995736766e-17, 1.0], [2.0, -6.123233995736766e-17, 1.0], [2.0, 0.0, 0.0], [1.0, 0.0, 0.0]], "4": [[1.0, 0.9999999999999999, 1.0000000000000002], [2.0, 0.9999999999999999, 1.0000000000000002], [2.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0]], "1": [[1.0, 1.0, 2.220446049250313e-16], [2.0, 1.0, 2.220446049250313e-16], [2.0, 0.9999999999999999, 1.0000000000000002], [1.0, 0.9999999999999999, 1.0000000000000002]]}, "face_connections": {"5": ["6"], "6": ["5", "2"], "3": ["4"], "2": ["6", "4"], "4": ["2", "3", "1"], "1": ["4"]}, "valid": true}, "base_face": "6", "folding_steps": [["5", "6", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "6", [1, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "2", [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966], ["1", "4", [1.0, 0.9999999999999999, 1.0000000000000002], [1.0, 0.0, 0.0], -1.5707963267948966], ["3", "4", [2.0, 0.9999999999999999, 1.0000000000000002], [0.0, -1.0, -2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 2 upwards towards face 5", "Fold face 4 downwards towards face 5", "Fold face 1 downwards towards face 5", "Fold face 3 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random1_net5_base6_step1.png", "output_dir/folding_nets/random1_net5_base6_step2.png", "output_dir/folding_nets/random1_net5_base6_step3.png", "output_dir/folding_nets/random1_net5_base6_step4.png", "output_dir/folding_nets/random1_net5_base6_step5.png", "output_dir/folding_nets/random1_net5_base6_step6.png"], "id": "random1_net5_base6"} |
|
2d_perception_connectivity_72_3_1 | In the cube net shown in the image, is face 3 directly connected to face 1, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"5": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "3": [[2.0, 0.9999999999999999, 1.0000000000000002], [2.0, 1.0, 2.220446049250313e-16], [2.0, 1.1102230246251565e-16, 0.0], [2.0, -1.1102230246251565e-16, 1.0]], "2": [[1.0, -6.123233995736766e-17, 1.0], [2.0, -6.123233995736766e-17, 1.0], [2.0, 0.0, 0.0], [1.0, 0.0, 0.0]], "4": [[1.0, 0.9999999999999999, 1.0000000000000002], [2.0, 0.9999999999999999, 1.0000000000000002], [2.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0]], "1": [[1.0, 1.0, 2.220446049250313e-16], [2.0, 1.0, 2.220446049250313e-16], [2.0, 0.9999999999999999, 1.0000000000000002], [1.0, 0.9999999999999999, 1.0000000000000002]]}, "face_connections": {"5": ["6"], "6": ["5", "2"], "3": ["4"], "2": ["6", "4"], "4": ["2", "3", "1"], "1": ["4"]}, "valid": true}, "base_face": "6", "folding_steps": [["5", "6", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "6", [1, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "2", [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966], ["1", "4", [1.0, 0.9999999999999999, 1.0000000000000002], [1.0, 0.0, 0.0], -1.5707963267948966], ["3", "4", [2.0, 0.9999999999999999, 1.0000000000000002], [0.0, -1.0, -2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 2 upwards towards face 5", "Fold face 4 downwards towards face 5", "Fold face 1 downwards towards face 5", "Fold face 3 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random1_net5_base6_step1.png", "output_dir/folding_nets/random1_net5_base6_step2.png", "output_dir/folding_nets/random1_net5_base6_step3.png", "output_dir/folding_nets/random1_net5_base6_step4.png", "output_dir/folding_nets/random1_net5_base6_step5.png", "output_dir/folding_nets/random1_net5_base6_step6.png"], "id": "random1_net5_base6"} |
|
2d_perception_connectivity_72_5_4 | In the cube net shown in the image, is face 5 directly connected to face 4, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "Big T - Variant 2", "faces": {"5": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "3": [[2.0, 0.9999999999999999, 1.0000000000000002], [2.0, 1.0, 2.220446049250313e-16], [2.0, 1.1102230246251565e-16, 0.0], [2.0, -1.1102230246251565e-16, 1.0]], "2": [[1.0, -6.123233995736766e-17, 1.0], [2.0, -6.123233995736766e-17, 1.0], [2.0, 0.0, 0.0], [1.0, 0.0, 0.0]], "4": [[1.0, 0.9999999999999999, 1.0000000000000002], [2.0, 0.9999999999999999, 1.0000000000000002], [2.0, -6.123233995736766e-17, 1.0], [1.0, -6.123233995736766e-17, 1.0]], "1": [[1.0, 1.0, 2.220446049250313e-16], [2.0, 1.0, 2.220446049250313e-16], [2.0, 0.9999999999999999, 1.0000000000000002], [1.0, 0.9999999999999999, 1.0000000000000002]]}, "face_connections": {"5": ["6"], "6": ["5", "2"], "3": ["4"], "2": ["6", "4"], "4": ["2", "3", "1"], "1": ["4"]}, "valid": true}, "base_face": "6", "folding_steps": [["5", "6", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["2", "6", [1, 0, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["4", "2", [1.0, -6.123233995736766e-17, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966], ["1", "4", [1.0, 0.9999999999999999, 1.0000000000000002], [1.0, 0.0, 0.0], -1.5707963267948966], ["3", "4", [2.0, 0.9999999999999999, 1.0000000000000002], [0.0, -1.0, -2.220446049250313e-16], -1.5707963267948966]], "folding_step_descs": ["Fold face 5 upwards", "Fold face 2 upwards towards face 5", "Fold face 4 downwards towards face 5", "Fold face 1 downwards towards face 5", "Fold face 3 downwards towards face 6"], "images_per_step": ["output_dir/folding_nets/random1_net5_base6_step1.png", "output_dir/folding_nets/random1_net5_base6_step2.png", "output_dir/folding_nets/random1_net5_base6_step3.png", "output_dir/folding_nets/random1_net5_base6_step4.png", "output_dir/folding_nets/random1_net5_base6_step5.png", "output_dir/folding_nets/random1_net5_base6_step6.png"], "id": "random1_net5_base6"} |
|
2d_perception_color_73_4 | What color is face 4 in the cube net shown in the image?
<image_0>
A. yellow
B. light blue
C. light green
D. light orange | B | color | [
"A. yellow",
"B. light blue",
"C. light green",
"D. light orange"
] | {"initial_net": {"name": "invalid_E", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, 1.1102230246251565e-16], [2.0, 1.0, 1.0]], "1": [[2.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, 0.0]], "4": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "2": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "3": [[2.0, 0.0, 1.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [2.0, 1.0, 1.0]]}, "face_connections": {"5": ["4"], "1": ["3"], "4": ["5", "6"], "6": ["4", "2"], "2": ["6", "3"], "3": ["2", "1"]}, "valid": false}, "base_face": "6", "folding_steps": [["4", "6", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [1.0, 1.0, 0.0], [-1.1102230246251565e-16, 0.0, 1.0], -1.5707963267948966], ["2", "6", [2, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "2", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, 1.0, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 5 inwards towards face 6", "Fold face 2 upwards towards face 5", "Fold face 3 downwards towards face 5", "Fold face 1 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net22_base6_step1.png", "output_dir/folding_nets/random2_net22_base6_step2.png", "output_dir/folding_nets/random2_net22_base6_step3.png", "output_dir/folding_nets/random2_net22_base6_step4.png"], "id": "random2_net22_base6"} |
|
2d_perception_color_73_5 | What color is face 5 in the cube net shown in the image?
<image_0>
A. light red
B. light orange
C. yellow
D. light purple | B | color | [
"A. light red",
"B. light orange",
"C. yellow",
"D. light purple"
] | {"initial_net": {"name": "invalid_E", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, 1.1102230246251565e-16], [2.0, 1.0, 1.0]], "1": [[2.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, 0.0]], "4": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "2": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "3": [[2.0, 0.0, 1.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [2.0, 1.0, 1.0]]}, "face_connections": {"5": ["4"], "1": ["3"], "4": ["5", "6"], "6": ["4", "2"], "2": ["6", "3"], "3": ["2", "1"]}, "valid": false}, "base_face": "6", "folding_steps": [["4", "6", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [1.0, 1.0, 0.0], [-1.1102230246251565e-16, 0.0, 1.0], -1.5707963267948966], ["2", "6", [2, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "2", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, 1.0, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 5 inwards towards face 6", "Fold face 2 upwards towards face 5", "Fold face 3 downwards towards face 5", "Fold face 1 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net22_base6_step1.png", "output_dir/folding_nets/random2_net22_base6_step2.png", "output_dir/folding_nets/random2_net22_base6_step3.png", "output_dir/folding_nets/random2_net22_base6_step4.png"], "id": "random2_net22_base6"} |
|
2d_perception_connectivity_73_1_6 | In the cube net shown in the image, is face 1 directly connected to face 6, yes or no?
<image_0> | A | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "invalid_E", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, 1.1102230246251565e-16], [2.0, 1.0, 1.0]], "1": [[2.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, 0.0]], "4": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "2": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "3": [[2.0, 0.0, 1.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [2.0, 1.0, 1.0]]}, "face_connections": {"5": ["4"], "1": ["3"], "4": ["5", "6"], "6": ["4", "2"], "2": ["6", "3"], "3": ["2", "1"]}, "valid": false}, "base_face": "6", "folding_steps": [["4", "6", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [1.0, 1.0, 0.0], [-1.1102230246251565e-16, 0.0, 1.0], -1.5707963267948966], ["2", "6", [2, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "2", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, 1.0, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 5 inwards towards face 6", "Fold face 2 upwards towards face 5", "Fold face 3 downwards towards face 5", "Fold face 1 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net22_base6_step1.png", "output_dir/folding_nets/random2_net22_base6_step2.png", "output_dir/folding_nets/random2_net22_base6_step3.png", "output_dir/folding_nets/random2_net22_base6_step4.png"], "id": "random2_net22_base6"} |
|
2d_perception_connectivity_73_5_2 | In the cube net shown in the image, is face 5 directly connected to face 2, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "invalid_E", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, 1.1102230246251565e-16], [2.0, 1.0, 1.0]], "1": [[2.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0], [2.0, 1.0, 0.0]], "4": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]], "2": [[2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [2.0, 1.0, 0.0]], "3": [[2.0, 0.0, 1.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [2.0, 1.0, 1.0]]}, "face_connections": {"5": ["4"], "1": ["3"], "4": ["5", "6"], "6": ["4", "2"], "2": ["6", "3"], "3": ["2", "1"]}, "valid": false}, "base_face": "6", "folding_steps": [["4", "6", [1, 0, 0], [0.0, 1.0, 0.0], 1.5707963267948966], ["5", "4", [1.0, 1.0, 0.0], [-1.1102230246251565e-16, 0.0, 1.0], -1.5707963267948966], ["2", "6", [2, 0, 0], [0.0, 1.0, 0.0], -1.5707963267948966], ["3", "2", [2.0, 0.0, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["1", "3", [1.0, 1.0, 1.0], [1.0, 0.0, 0.0], -1.5707963267948966]], "folding_step_descs": ["Fold face 4 upwards", "Fold face 5 inwards towards face 6", "Fold face 2 upwards towards face 5", "Fold face 3 downwards towards face 5", "Fold face 1 downwards towards face 5"], "images_per_step": ["output_dir/folding_nets/random2_net22_base6_step1.png", "output_dir/folding_nets/random2_net22_base6_step2.png", "output_dir/folding_nets/random2_net22_base6_step3.png", "output_dir/folding_nets/random2_net22_base6_step4.png"], "id": "random2_net22_base6"} |
|
2d_perception_color_74_1 | What color is face 1 in the cube net shown in the image?
<image_0>
A. light blue
B. light red
C. light purple
D. yellow | D | color | [
"A. light blue",
"B. light red",
"C. light purple",
"D. yellow"
] | {"initial_net": {"name": "1-3-2 Net", "faces": {"3": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "2": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "4": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "1": [[1.0, 0.9999999999999999, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [1.0, 1.0, 0.0]], "5": [[2.0, 0.9999999999999999, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [2.0, 1.0, 0.0]], "6": [[1.0, 0.9999999999999998, 1.0], [1.0, 1.9999999999999998, 1.0], [2.0, 2.0, 1.0], [2.0, 0.9999999999999999, 1.0]]}, "face_connections": {"3": ["2"], "2": ["3", "4"], "4": ["2", "1"], "1": ["4", "5"], "5": ["1", "6"], "6": ["5"]}, "valid": true}, "base_face": "4", "folding_steps": [["1", "4", [1, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["5", "1", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], -1.5707963267948966], ["6", "5", [2.0, 0.9999999999999999, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [2, 2, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "2", [1.0, 2.0, 0.0], [0.0, 0.0, 1.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 inwards towards face 4", "Fold face 6 downwards towards face 1", "Fold face 2 upwards towards face 5", "Fold face 3 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random1_net9_base4_step1.png", "output_dir/folding_nets/random1_net9_base4_step2.png", "output_dir/folding_nets/random1_net9_base4_step3.png", "output_dir/folding_nets/random1_net9_base4_step4.png", "output_dir/folding_nets/random1_net9_base4_step5.png", "output_dir/folding_nets/random1_net9_base4_step6.png"], "id": "random1_net9_base4"} |
|
2d_perception_color_74_6 | What color is face 6 in the cube net shown in the image?
<image_0>
A. light green
B. yellow
C. light orange
D. light blue | A | color | [
"A. light green",
"B. yellow",
"C. light orange",
"D. light blue"
] | {"initial_net": {"name": "1-3-2 Net", "faces": {"3": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "2": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "4": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "1": [[1.0, 0.9999999999999999, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [1.0, 1.0, 0.0]], "5": [[2.0, 0.9999999999999999, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [2.0, 1.0, 0.0]], "6": [[1.0, 0.9999999999999998, 1.0], [1.0, 1.9999999999999998, 1.0], [2.0, 2.0, 1.0], [2.0, 0.9999999999999999, 1.0]]}, "face_connections": {"3": ["2"], "2": ["3", "4"], "4": ["2", "1"], "1": ["4", "5"], "5": ["1", "6"], "6": ["5"]}, "valid": true}, "base_face": "4", "folding_steps": [["1", "4", [1, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["5", "1", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], -1.5707963267948966], ["6", "5", [2.0, 0.9999999999999999, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [2, 2, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "2", [1.0, 2.0, 0.0], [0.0, 0.0, 1.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 inwards towards face 4", "Fold face 6 downwards towards face 1", "Fold face 2 upwards towards face 5", "Fold face 3 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random1_net9_base4_step1.png", "output_dir/folding_nets/random1_net9_base4_step2.png", "output_dir/folding_nets/random1_net9_base4_step3.png", "output_dir/folding_nets/random1_net9_base4_step4.png", "output_dir/folding_nets/random1_net9_base4_step5.png", "output_dir/folding_nets/random1_net9_base4_step6.png"], "id": "random1_net9_base4"} |
|
2d_perception_connectivity_74_4_5 | In the cube net shown in the image, is face 4 directly connected to face 5, yes or no?
<image_0> | B | connectivity | [
"Yes",
"No"
] | {"initial_net": {"name": "1-3-2 Net", "faces": {"3": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "2": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "4": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "1": [[1.0, 0.9999999999999999, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [1.0, 1.0, 0.0]], "5": [[2.0, 0.9999999999999999, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [2.0, 1.0, 0.0]], "6": [[1.0, 0.9999999999999998, 1.0], [1.0, 1.9999999999999998, 1.0], [2.0, 2.0, 1.0], [2.0, 0.9999999999999999, 1.0]]}, "face_connections": {"3": ["2"], "2": ["3", "4"], "4": ["2", "1"], "1": ["4", "5"], "5": ["1", "6"], "6": ["5"]}, "valid": true}, "base_face": "4", "folding_steps": [["1", "4", [1, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["5", "1", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], -1.5707963267948966], ["6", "5", [2.0, 0.9999999999999999, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [2, 2, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "2", [1.0, 2.0, 0.0], [0.0, 0.0, 1.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 inwards towards face 4", "Fold face 6 downwards towards face 1", "Fold face 2 upwards towards face 5", "Fold face 3 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random1_net9_base4_step1.png", "output_dir/folding_nets/random1_net9_base4_step2.png", "output_dir/folding_nets/random1_net9_base4_step3.png", "output_dir/folding_nets/random1_net9_base4_step4.png", "output_dir/folding_nets/random1_net9_base4_step5.png", "output_dir/folding_nets/random1_net9_base4_step6.png"], "id": "random1_net9_base4"} |
|
2d_perception_connectivity_74_2_4 | In the cube net shown in the image, is face 2 directly connected to face 4, yes or no?
<image_0> | B | connectivity | [
"No",
"Yes"
] | {"initial_net": {"name": "1-3-2 Net", "faces": {"3": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "2": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "4": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "1": [[1.0, 0.9999999999999999, 1.0], [2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [1.0, 1.0, 0.0]], "5": [[2.0, 0.9999999999999999, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 1.1102230246251565e-16], [2.0, 1.0, 0.0]], "6": [[1.0, 0.9999999999999998, 1.0], [1.0, 1.9999999999999998, 1.0], [2.0, 2.0, 1.0], [2.0, 0.9999999999999999, 1.0]]}, "face_connections": {"3": ["2"], "2": ["3", "4"], "4": ["2", "1"], "1": ["4", "5"], "5": ["1", "6"], "6": ["5"]}, "valid": true}, "base_face": "4", "folding_steps": [["1", "4", [1, 1, 0], [1.0, 0.0, 0.0], -1.5707963267948966], ["5", "1", [2.0, 0.9999999999999999, 1.0], [0.0, 1.1102230246251565e-16, -1.0], -1.5707963267948966], ["6", "5", [2.0, 0.9999999999999999, 1.0], [0.0, 1.0, 0.0], -1.5707963267948966], ["2", "4", [2, 2, 0], [-1.0, 0.0, 0.0], -1.5707963267948966], ["3", "2", [1.0, 2.0, 0.0], [0.0, 0.0, 1.0], 1.5707963267948966]], "folding_step_descs": ["Fold face 1 upwards", "Fold face 5 inwards towards face 4", "Fold face 6 downwards towards face 1", "Fold face 2 upwards towards face 5", "Fold face 3 inwards towards face 4"], "images_per_step": ["output_dir/folding_nets/random1_net9_base4_step1.png", "output_dir/folding_nets/random1_net9_base4_step2.png", "output_dir/folding_nets/random1_net9_base4_step3.png", "output_dir/folding_nets/random1_net9_base4_step4.png", "output_dir/folding_nets/random1_net9_base4_step5.png", "output_dir/folding_nets/random1_net9_base4_step6.png"], "id": "random1_net9_base4"} |
Subsets and Splits