qid
stringlengths
23
33
question
stringlengths
96
127
images
images listlengths
1
1
answer
stringclasses
4 values
type
stringclasses
2 values
choices
listlengths
2
4
question_info
stringlengths
1.35k
2.12k
2d_perception_color_25_1
What color is face 1 in the cube net shown in the image? <image_0> A. light purple B. light red C. yellow D. light orange
C
color
[ "A. light purple", "B. light red", "C. yellow", "D. light orange" ]
{"initial_net": {"name": "3-3 Net", "faces": {"5": [[2.0, -0.9999999999999999, 1.0], [2.0, 1.1442377452219642e-17, 1.0], [2.0000000000000004, -3.8347585052928364e-17, 0.0], [2.0000000000000004, -0.9999999999999999, 0.0]], "2": [[0.9999999999999999, -0.9999999999999999, 1.0], [1.0, 6.123233995736765e-17, 1.0], [2.0, 1.1...
2d_perception_color_25_5
What color is face 5 in the cube net shown in the image? <image_0> A. light red B. light green C. light blue D. light orange
D
color
[ "A. light red", "B. light green", "C. light blue", "D. light orange" ]
{"initial_net": {"name": "3-3 Net", "faces": {"5": [[2.0, -0.9999999999999999, 1.0], [2.0, 1.1442377452219642e-17, 1.0], [2.0000000000000004, -3.8347585052928364e-17, 0.0], [2.0000000000000004, -0.9999999999999999, 0.0]], "2": [[0.9999999999999999, -0.9999999999999999, 1.0], [1.0, 6.123233995736765e-17, 1.0], [2.0, 1.1...
2d_perception_connectivity_25_6_1
In the cube net shown in the image, is face 6 directly connected to face 1, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "3-3 Net", "faces": {"5": [[2.0, -0.9999999999999999, 1.0], [2.0, 1.1442377452219642e-17, 1.0], [2.0000000000000004, -3.8347585052928364e-17, 0.0], [2.0000000000000004, -0.9999999999999999, 0.0]], "2": [[0.9999999999999999, -0.9999999999999999, 1.0], [1.0, 6.123233995736765e-17, 1.0], [2.0, 1.1...
2d_perception_connectivity_25_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": "3-3 Net", "faces": {"5": [[2.0, -0.9999999999999999, 1.0], [2.0, 1.1442377452219642e-17, 1.0], [2.0000000000000004, -3.8347585052928364e-17, 0.0], [2.0000000000000004, -0.9999999999999999, 0.0]], "2": [[0.9999999999999999, -0.9999999999999999, 1.0], [1.0, 6.123233995736765e-17, 1.0], [2.0, 1.1...
2d_perception_color_26_2
What color is face 2 in the cube net shown in the image? <image_0> A. light orange B. light blue C. light green D. light purple
D
color
[ "A. light orange", "B. light blue", "C. light green", "D. light purple" ]
{"initial_net": {"name": "invalid_E", "faces": {"5": [[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": [[-4.930380657631324e-32, 1.0, 1.0000000000000002], [-2.83276944882399e-16, 1.0, 2.220446049250313e-16], [0.9999999999999997, 1.0, -6.123233995736767e-17], [0.9999999999999999, 1.0, 0.99999999...
2d_perception_color_26_6
What color is face 6 in the cube net shown in the image? <image_0> A. light green B. light red C. light purple D. yellow
A
color
[ "A. light green", "B. light red", "C. light purple", "D. yellow" ]
{"initial_net": {"name": "invalid_E", "faces": {"5": [[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": [[-4.930380657631324e-32, 1.0, 1.0000000000000002], [-2.83276944882399e-16, 1.0, 2.220446049250313e-16], [0.9999999999999997, 1.0, -6.123233995736767e-17], [0.9999999999999999, 1.0, 0.99999999...
2d_perception_connectivity_26_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": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "1": [[-4.930380657631324e-32, 1.0, 1.0000000000000002], [-2.83276944882399e-16, 1.0, 2.220446049250313e-16], [0.9999999999999997, 1.0, -6.123233995736767e-17], [0.9999999999999999, 1.0, 0.99999999...
2d_perception_connectivity_26_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
[ "Yes", "No" ]
{"initial_net": {"name": "invalid_E", "faces": {"5": [[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": [[-4.930380657631324e-32, 1.0, 1.0000000000000002], [-2.83276944882399e-16, 1.0, 2.220446049250313e-16], [0.9999999999999997, 1.0, -6.123233995736767e-17], [0.9999999999999999, 1.0, 0.99999999...
2d_perception_color_27_2
What color is face 2 in the cube net shown in the image? <image_0> A. light green B. light blue C. light orange D. light purple
D
color
[ "A. light green", "B. light blue", "C. light orange", "D. light purple" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"6": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "4": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "3": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "2": [[3, 1, 0], [4, 1, 0...
2d_perception_color_27_3
What color is face 3 in the cube net shown in the image? <image_0> A. light purple B. light red C. light orange D. yellow
B
color
[ "A. light purple", "B. light red", "C. light orange", "D. yellow" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"6": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "4": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "3": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "2": [[3, 1, 0], [4, 1, 0...
2d_perception_connectivity_27_6_3
In the cube net shown in the image, is face 6 directly connected to face 3, yes or no? <image_0>
B
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"6": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "4": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "3": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "2": [[3, 1, 0], [4, 1, 0...
2d_perception_connectivity_27_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": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"6": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "4": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "3": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "2": [[3, 1, 0], [4, 1, 0...
2d_perception_color_28_5
What color is face 5 in the cube net shown in the image? <image_0> A. light green B. light purple C. light red D. light orange
D
color
[ "A. light green", "B. light purple", "C. light red", "D. light orange" ]
{"initial_net": {"name": "3-3 Net", "faces": {"5": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "2": [[0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [0.0, 2.0, 0.0]], "3": [[0.0, 3.0, 1.0000000000000002], [1.0, 3.0, 1.0000000000000002], [1.0, 2.0, 1.0], [0.0, 2.0, 1.0]], "6": [[1.0, 3.0, 1.0000000000000002], [1.0,...
2d_perception_color_28_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": "3-3 Net", "faces": {"5": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "2": [[0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [0.0, 2.0, 0.0]], "3": [[0.0, 3.0, 1.0000000000000002], [1.0, 3.0, 1.0000000000000002], [1.0, 2.0, 1.0], [0.0, 2.0, 1.0]], "6": [[1.0, 3.0, 1.0000000000000002], [1.0,...
2d_perception_connectivity_28_3_1
In the cube net shown in the image, is face 3 directly connected to face 1, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "3-3 Net", "faces": {"5": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "2": [[0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [0.0, 2.0, 0.0]], "3": [[0.0, 3.0, 1.0000000000000002], [1.0, 3.0, 1.0000000000000002], [1.0, 2.0, 1.0], [0.0, 2.0, 1.0]], "6": [[1.0, 3.0, 1.0000000000000002], [1.0,...
2d_perception_connectivity_28_5_1
In the cube net shown in the image, is face 5 directly connected to face 1, yes or no? <image_0>
B
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "3-3 Net", "faces": {"5": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "2": [[0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [0.0, 2.0, 0.0]], "3": [[0.0, 3.0, 1.0000000000000002], [1.0, 3.0, 1.0000000000000002], [1.0, 2.0, 1.0], [0.0, 2.0, 1.0]], "6": [[1.0, 3.0, 1.0000000000000002], [1.0,...
2d_perception_color_29_6
What color is face 6 in the cube net shown in the image? <image_0> A. light orange B. yellow C. light blue D. light green
D
color
[ "A. light orange", "B. yellow", "C. light blue", "D. light green" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"4": [[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": [[1.0, 1.0, 0.0], [1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [0.0, -2.83276944882399e-16, 0.0], [0.0, -2.83276944882399e-16, 1.0], [1.0, 0...
2d_perception_color_29_2
What color is face 2 in the cube net shown in the image? <image_0> A. light orange B. yellow C. light purple D. light red
C
color
[ "A. light orange", "B. yellow", "C. light purple", "D. light red" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"4": [[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": [[1.0, 1.0, 0.0], [1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [0.0, -2.83276944882399e-16, 0.0], [0.0, -2.83276944882399e-16, 1.0], [1.0, 0...
2d_perception_connectivity_29_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
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"4": [[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": [[1.0, 1.0, 0.0], [1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [0.0, -2.83276944882399e-16, 0.0], [0.0, -2.83276944882399e-16, 1.0], [1.0, 0...
2d_perception_connectivity_29_2_6
In the cube net shown in the image, is face 2 directly connected to face 6, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"4": [[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": [[1.0, 1.0, 0.0], [1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [0.0, -2.83276944882399e-16, 0.0], [0.0, -2.83276944882399e-16, 1.0], [1.0, 0...
2d_perception_color_30_1
What color is face 1 in the cube net shown in the image? <image_0> A. light green B. yellow C. light red D. light purple
B
color
[ "A. light green", "B. yellow", "C. light red", "D. light purple" ]
{"initial_net": {"name": "invalid_F", "faces": {"1": [[3.0, -2.83276944882399e-16, 0.0], [2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [3.0, -2.83276944882399e-16, 1.0]], "2": [[2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0]], "3": [[2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[2.0,...
2d_perception_color_30_4
What color is face 4 in the cube net shown in the image? <image_0> A. light purple B. yellow C. light green D. light blue
D
color
[ "A. light purple", "B. yellow", "C. light green", "D. light blue" ]
{"initial_net": {"name": "invalid_F", "faces": {"1": [[3.0, -2.83276944882399e-16, 0.0], [2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [3.0, -2.83276944882399e-16, 1.0]], "2": [[2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0]], "3": [[2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[2.0,...
2d_perception_connectivity_30_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_F", "faces": {"1": [[3.0, -2.83276944882399e-16, 0.0], [2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [3.0, -2.83276944882399e-16, 1.0]], "2": [[2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0]], "3": [[2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[2.0,...
2d_perception_connectivity_30_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": "invalid_F", "faces": {"1": [[3.0, -2.83276944882399e-16, 0.0], [2.0, 0.0, 0.0], [2.0, 0.0, 1.0], [3.0, -2.83276944882399e-16, 1.0]], "2": [[2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0]], "3": [[2.0, 1.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[2.0,...
2d_perception_color_31_5
What color is face 5 in the cube net shown in the image? <image_0> A. light blue B. light green C. light orange D. light purple
C
color
[ "A. light blue", "B. light green", "C. light orange", "D. light purple" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"5": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "1": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "6": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "2": [[3.0, 1.0, 0....
2d_perception_color_31_2
What color is face 2 in the cube net shown in the image? <image_0> A. light purple B. light blue C. light red D. yellow
A
color
[ "A. light purple", "B. light blue", "C. light red", "D. yellow" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"5": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "1": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "6": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "2": [[3.0, 1.0, 0....
2d_perception_connectivity_31_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": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"5": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "1": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "6": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "2": [[3.0, 1.0, 0....
2d_perception_connectivity_31_1_3
In the cube net shown in the image, is face 1 directly connected to face 3, yes or no? <image_0>
B
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"5": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "1": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "6": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "2": [[3.0, 1.0, 0....
2d_perception_color_32_6
What color is face 6 in the cube net shown in the image? <image_0> A. light blue B. light green C. light purple D. yellow
B
color
[ "A. light blue", "B. light green", "C. light purple", "D. yellow" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"2": [[3.0, -1.0000000000000002, 1.1442377452219691e-17], [2.0, -1.0, 6.123233995736766e-17], [2.0, -0.9999999999999999, 1.0], [3.0, -1.0000000000000002, 1.0000000000000002]], "5": [[3.0, -0.9999999999999999, 1.0], [3.0, 1.224646799147353e-16, 1.0], [3.0000000000000004, 1...
2d_perception_color_32_5
What color is face 5 in the cube net shown in the image? <image_0> A. light green B. light orange C. light purple D. yellow
B
color
[ "A. light green", "B. light orange", "C. light purple", "D. yellow" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"2": [[3.0, -1.0000000000000002, 1.1442377452219691e-17], [2.0, -1.0, 6.123233995736766e-17], [2.0, -0.9999999999999999, 1.0], [3.0, -1.0000000000000002, 1.0000000000000002]], "5": [[3.0, -0.9999999999999999, 1.0], [3.0, 1.224646799147353e-16, 1.0], [3.0000000000000004, 1...
2d_perception_connectivity_32_3_1
In the cube net shown in the image, is face 3 directly connected to face 1, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"2": [[3.0, -1.0000000000000002, 1.1442377452219691e-17], [2.0, -1.0, 6.123233995736766e-17], [2.0, -0.9999999999999999, 1.0], [3.0, -1.0000000000000002, 1.0000000000000002]], "5": [[3.0, -0.9999999999999999, 1.0], [3.0, 1.224646799147353e-16, 1.0], [3.0000000000000004, 1...
2d_perception_connectivity_32_5_6
In the cube net shown in the image, is face 5 directly connected to face 6, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"2": [[3.0, -1.0000000000000002, 1.1442377452219691e-17], [2.0, -1.0, 6.123233995736766e-17], [2.0, -0.9999999999999999, 1.0], [3.0, -1.0000000000000002, 1.0000000000000002]], "5": [[3.0, -0.9999999999999999, 1.0], [3.0, 1.224646799147353e-16, 1.0], [3.0000000000000004, 1...
2d_perception_color_33_1
What color is face 1 in the cube net shown in the image? <image_0> A. yellow B. light blue C. light red D. light orange
A
color
[ "A. yellow", "B. light blue", "C. light red", "D. light orange" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"2": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "4": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "1": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0]], "3": [[2.0, 1.0, 1....
2d_perception_color_33_2
What color is face 2 in the cube net shown in the image? <image_0> A. light blue B. light orange C. light purple D. yellow
C
color
[ "A. light blue", "B. light orange", "C. light purple", "D. yellow" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"2": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "4": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "1": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0]], "3": [[2.0, 1.0, 1....
2d_perception_connectivity_33_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": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"2": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "4": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "1": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0]], "3": [[2.0, 1.0, 1....
2d_perception_connectivity_33_2_4
In the cube net shown in the image, is face 2 directly connected to face 4, yes or no? <image_0>
A
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"2": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "4": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "1": [[2.0, 1.0, 0.0], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0]], "3": [[2.0, 1.0, 1....
2d_perception_color_34_3
What color is face 3 in the cube net shown in the image? <image_0> A. light blue B. light red C. yellow D. light purple
B
color
[ "A. light blue", "B. light red", "C. yellow", "D. light purple" ]
{"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]], "3": [[2, -2, 0], [3, -2, 0], [...
2d_perception_color_34_2
What color is face 2 in the cube net shown in the image? <image_0> A. yellow B. light green C. light red D. light purple
D
color
[ "A. yellow", "B. light green", "C. light red", "D. light purple" ]
{"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]], "3": [[2, -2, 0], [3, -2, 0], [...
2d_perception_connectivity_34_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
[ "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]], "3": [[2, -2, 0], [3, -2, 0], [...
2d_perception_connectivity_34_6_3
In the cube net shown in the image, is face 6 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]], "3": [[2, -2, 0], [3, -2, 0], [...
2d_perception_color_35_2
What color is face 2 in the cube net shown in the image? <image_0> A. yellow B. light green C. light orange D. light purple
D
color
[ "A. yellow", "B. light green", "C. light orange", "D. light purple" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"5": [[0.0, 0.0, 0.0], [6.123233995736766e-17, 0.0, 1.0], [6.123233995736766e-17, 1.0, 1.0], [0.0, 1.0, 0.0]], "6": [[-1, 0, 0], [0, 0, 0], [0, 1, 0], [-1, 1, 0]], "3": [[6.123233995736766e-17, 0.0, 1.0], [-0.9999999999999999, 0.0, 1.0000000000000002], [-0.99...
2d_perception_color_35_5
What color is face 5 in the cube net shown in the image? <image_0> A. light red B. light orange C. light blue D. yellow
B
color
[ "A. light red", "B. light orange", "C. light blue", "D. yellow" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"5": [[0.0, 0.0, 0.0], [6.123233995736766e-17, 0.0, 1.0], [6.123233995736766e-17, 1.0, 1.0], [0.0, 1.0, 0.0]], "6": [[-1, 0, 0], [0, 0, 0], [0, 1, 0], [-1, 1, 0]], "3": [[6.123233995736766e-17, 0.0, 1.0], [-0.9999999999999999, 0.0, 1.0000000000000002], [-0.99...
2d_perception_connectivity_35_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": "t-shaped Net Variant 2", "faces": {"5": [[0.0, 0.0, 0.0], [6.123233995736766e-17, 0.0, 1.0], [6.123233995736766e-17, 1.0, 1.0], [0.0, 1.0, 0.0]], "6": [[-1, 0, 0], [0, 0, 0], [0, 1, 0], [-1, 1, 0]], "3": [[6.123233995736766e-17, 0.0, 1.0], [-0.9999999999999999, 0.0, 1.0000000000000002], [-0.99...
2d_perception_connectivity_35_5_1
In the cube net shown in the image, is face 5 directly connected to face 1, yes or no? <image_0>
B
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"5": [[0.0, 0.0, 0.0], [6.123233995736766e-17, 0.0, 1.0], [6.123233995736766e-17, 1.0, 1.0], [0.0, 1.0, 0.0]], "6": [[-1, 0, 0], [0, 0, 0], [0, 1, 0], [-1, 1, 0]], "3": [[6.123233995736766e-17, 0.0, 1.0], [-0.9999999999999999, 0.0, 1.0000000000000002], [-0.99...
2d_perception_color_36_5
What color is face 5 in the cube net shown in the image? <image_0> A. light purple B. light orange C. light red D. yellow
B
color
[ "A. light purple", "B. light orange", "C. light red", "D. yellow" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "6": [[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], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "4": [[0.0, 1.0, 1....
2d_perception_color_36_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": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "6": [[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], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "4": [[0.0, 1.0, 1....
2d_perception_connectivity_36_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
[ "No", "Yes" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "6": [[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], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "4": [[0.0, 1.0, 1....
2d_perception_connectivity_36_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": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "6": [[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], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "4": [[0.0, 1.0, 1....
2d_perception_color_37_1
What color is face 1 in the cube net shown in the image? <image_0> A. light red B. light green C. light orange D. yellow
D
color
[ "A. light red", "B. light green", "C. light orange", "D. yellow" ]
{"initial_net": {"name": "Big T - Variant 3", "faces": {"4": [[0.9999999999999999, -2.0, 0.9999999999999998], [1.0, -3.0, 1.0000000000000002], [1.0, -3.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, -2.0000000000000004, -2.220446049250313e-16]], "6": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.00000...
2d_perception_color_37_4
What color is face 4 in the cube net shown in the image? <image_0> A. light blue B. light green C. light red D. light orange
A
color
[ "A. light blue", "B. light green", "C. light red", "D. light orange" ]
{"initial_net": {"name": "Big T - Variant 3", "faces": {"4": [[0.9999999999999999, -2.0, 0.9999999999999998], [1.0, -3.0, 1.0000000000000002], [1.0, -3.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, -2.0000000000000004, -2.220446049250313e-16]], "6": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.00000...
2d_perception_connectivity_37_6_3
In the cube net shown in the image, is face 6 directly connected to face 3, yes or no? <image_0>
A
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "Big T - Variant 3", "faces": {"4": [[0.9999999999999999, -2.0, 0.9999999999999998], [1.0, -3.0, 1.0000000000000002], [1.0, -3.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, -2.0000000000000004, -2.220446049250313e-16]], "6": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.00000...
2d_perception_connectivity_37_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": "Big T - Variant 3", "faces": {"4": [[0.9999999999999999, -2.0, 0.9999999999999998], [1.0, -3.0, 1.0000000000000002], [1.0, -3.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, -2.0000000000000004, -2.220446049250313e-16]], "6": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.00000...
2d_perception_color_38_6
What color is face 6 in the cube net shown in the image? <image_0> A. light orange B. light green C. light blue D. yellow
B
color
[ "A. light orange", "B. light green", "C. light blue", "D. yellow" ]
{"initial_net": {"name": "2-2 net", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 1.0, 1.0]], "4": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "2":...
2d_perception_color_38_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 purple
B
color
[ "A. light green", "B. light orange", "C. yellow", "D. light purple" ]
{"initial_net": {"name": "2-2 net", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 1.0, 1.0]], "4": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "2":...
2d_perception_connectivity_38_2_1
In the cube net shown in the image, is face 2 directly connected to face 1, yes or no? <image_0>
A
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "2-2 net", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 1.0, 1.0]], "4": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "2":...
2d_perception_connectivity_38_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": "2-2 net", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 1.0, 1.0]], "4": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "6": [[1.0, 2.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0], [1.0, 2.0, 1.0]], "2":...
2d_perception_color_39_1
What color is face 1 in the cube net shown in the image? <image_0> A. yellow B. light green C. light red D. light purple
A
color
[ "A. yellow", "B. light green", "C. light red", "D. light purple" ]
{"initial_net": {"name": "t-shaped Net", "faces": {"6": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "3": [[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]], "1": [[3.0000000000000004, 0.0, 2.220446049250313e-16], ...
2d_perception_color_39_5
What color is face 5 in the cube net shown in the image? <image_0> A. light purple B. light orange C. light green D. yellow
B
color
[ "A. light purple", "B. light orange", "C. light green", "D. yellow" ]
{"initial_net": {"name": "t-shaped Net", "faces": {"6": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "3": [[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]], "1": [[3.0000000000000004, 0.0, 2.220446049250313e-16], ...
2d_perception_connectivity_39_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": "t-shaped Net", "faces": {"6": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "3": [[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]], "1": [[3.0000000000000004, 0.0, 2.220446049250313e-16], ...
2d_perception_connectivity_39_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
[ "Yes", "No" ]
{"initial_net": {"name": "t-shaped Net", "faces": {"6": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "3": [[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]], "1": [[3.0000000000000004, 0.0, 2.220446049250313e-16], ...
2d_perception_color_40_5
What color is face 5 in the cube net shown in the image? <image_0> A. light orange B. light red C. light green D. light blue
A
color
[ "A. light orange", "B. light red", "C. light green", "D. light blue" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [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]], "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]], "5": [[1.0, 0.0, 1.0...
2d_perception_color_40_6
What color is face 6 in the cube net shown in the image? <image_0> A. light green B. light blue C. light orange D. light red
A
color
[ "A. light green", "B. light blue", "C. light orange", "D. light red" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [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]], "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]], "5": [[1.0, 0.0, 1.0...
2d_perception_connectivity_40_2_4
In the cube net shown in the image, is face 2 directly connected to face 4, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [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]], "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]], "5": [[1.0, 0.0, 1.0...
2d_perception_connectivity_40_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
[ "Yes", "No" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [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]], "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]], "5": [[1.0, 0.0, 1.0...
2d_perception_color_41_2
What color is face 2 in the cube net shown in the image? <image_0> A. light orange B. light blue C. light purple D. light green
C
color
[ "A. light orange", "B. light blue", "C. light purple", "D. light green" ]
{"initial_net": {"name": "Invalid D", "faces": {"1": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "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]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002],...
2d_perception_color_41_1
What color is face 1 in the cube net shown in the image? <image_0> A. light orange B. light green C. yellow D. light red
C
color
[ "A. light orange", "B. light green", "C. yellow", "D. light red" ]
{"initial_net": {"name": "Invalid D", "faces": {"1": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "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]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002],...
2d_perception_connectivity_41_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": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "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]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002],...
2d_perception_connectivity_41_5_3
In the cube net shown in the image, is face 5 directly connected to face 3, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "Invalid D", "faces": {"1": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "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]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [1.0, 0.0, 0.0]], "6": [[1.0, 1.0, 1.0], [1.0, 0.0, 1.0], [0.0, 0.0, 1.0000000000000002],...
2d_perception_color_42_5
What color is face 5 in the cube net shown in the image? <image_0> A. yellow B. light orange C. light purple D. light red
B
color
[ "A. yellow", "B. light orange", "C. light purple", "D. light red" ]
{"initial_net": {"name": "3-3 Net", "faces": {"5": [[0.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002]], "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]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "6": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1....
2d_perception_color_42_3
What color is face 3 in the cube net shown in the image? <image_0> A. light red B. yellow C. light green D. light orange
A
color
[ "A. light red", "B. yellow", "C. light green", "D. light orange" ]
{"initial_net": {"name": "3-3 Net", "faces": {"5": [[0.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002]], "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]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "6": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1....
2d_perception_connectivity_42_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": "3-3 Net", "faces": {"5": [[0.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002]], "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]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "6": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1....
2d_perception_connectivity_42_2_6
In the cube net shown in the image, is face 2 directly connected to face 6, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "3-3 Net", "faces": {"5": [[0.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002]], "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]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "6": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1....
2d_perception_color_43_4
What color is face 4 in the cube net shown in the image? <image_0> A. light blue B. yellow C. light purple D. light orange
A
color
[ "A. light blue", "B. yellow", "C. light purple", "D. light orange" ]
{"initial_net": {"name": "Big T - Variant 2", "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]], "3": [[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....
2d_perception_color_43_3
What color is face 3 in the cube net shown in the image? <image_0> A. light orange B. light red C. yellow D. light green
B
color
[ "A. light orange", "B. light red", "C. yellow", "D. light green" ]
{"initial_net": {"name": "Big T - Variant 2", "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]], "3": [[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....
2d_perception_connectivity_43_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, -1.0, 6.123233995736766e-17], [1.0, 0.0, 0.0], [1.0, 6.123233995736765e-17, 1.0], [0.9999999999999999, -0.9999999999999999, 1.0]], "3": [[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....
2d_perception_connectivity_43_5_6
In the cube net shown in the image, is face 5 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, -1.0, 6.123233995736766e-17], [1.0, 0.0, 0.0], [1.0, 6.123233995736765e-17, 1.0], [0.9999999999999999, -0.9999999999999999, 1.0]], "3": [[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....
2d_perception_color_44_6
What color is face 6 in the cube net shown in the image? <image_0> A. light green B. yellow C. light blue D. light purple
A
color
[ "A. light green", "B. yellow", "C. light blue", "D. light purple" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [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]], "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, 0.0, 1.00000000000000...
2d_perception_color_44_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. light orange
A
color
[ "A. light blue", "B. light purple", "C. light red", "D. light orange" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [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]], "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, 0.0, 1.00000000000000...
2d_perception_connectivity_44_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": "Linear 6-Face Row", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [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]], "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, 0.0, 1.00000000000000...
2d_perception_connectivity_44_4_6
In the cube net shown in the image, is face 4 directly connected to face 6, yes or no? <image_0>
B
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [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]], "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, 0.0, 1.00000000000000...
2d_perception_color_45_2
What color is face 2 in the cube net shown in the image? <image_0> A. light purple B. light blue C. light green D. light orange
A
color
[ "A. light purple", "B. light blue", "C. light green", "D. light orange" ]
{"initial_net": {"name": "Big T - Variant 3", "faces": {"6": [[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]], "1": [[2.0, -2.0...
2d_perception_color_45_3
What color is face 3 in the cube net shown in the image? <image_0> A. light blue B. light orange C. light red D. yellow
C
color
[ "A. light blue", "B. light orange", "C. light red", "D. yellow" ]
{"initial_net": {"name": "Big T - Variant 3", "faces": {"6": [[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]], "1": [[2.0, -2.0...
2d_perception_connectivity_45_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 - Variant 3", "faces": {"6": [[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]], "1": [[2.0, -2.0...
2d_perception_connectivity_45_3_1
In the cube net shown in the image, is face 3 directly connected to face 1, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "Big T - Variant 3", "faces": {"6": [[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]], "1": [[2.0, -2.0...
2d_perception_color_46_1
What color is face 1 in the cube net shown in the image? <image_0> A. light purple B. light green C. light red D. yellow
D
color
[ "A. light purple", "B. light green", "C. light red", "D. yellow" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"4": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "3": [[3.0000000000000004, 0.0, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0000000000000004, 1.0, 2.220446...
2d_perception_color_46_6
What color is face 6 in the cube net shown in the image? <image_0> A. light blue B. light purple C. yellow D. light green
D
color
[ "A. light blue", "B. light purple", "C. yellow", "D. light green" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"4": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "3": [[3.0000000000000004, 0.0, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0000000000000004, 1.0, 2.220446...
2d_perception_connectivity_46_2_6
In the cube net shown in the image, is face 2 directly connected to face 6, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"4": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "3": [[3.0000000000000004, 0.0, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0000000000000004, 1.0, 2.220446...
2d_perception_connectivity_46_4_3
In the cube net shown in the image, is face 4 directly connected to face 3, yes or no? <image_0>
B
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"4": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "3": [[3.0000000000000004, 0.0, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0000000000000004, 1.0, 2.220446...
2d_perception_color_47_6
What color is face 6 in the cube net shown in the image? <image_0> A. light purple B. light green C. light blue D. yellow
B
color
[ "A. light purple", "B. light green", "C. light blue", "D. yellow" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[5.0, 0.0, 0.9999999999999999], [5.0, 0.0, -6.123233995736766e-17], [5.0, 1.0, -6.123233995736766e-17], [5.0, 1.0, 0.9999999999999999]], "3": [[5.0, 0.0, -6.123233995736766e-17], [6.0, 0.0, 0.0], [6.0, 1.0, 0.0], [5.0, 1.0, -6.123233995736766e-17]], "6": [[6...
2d_perception_color_47_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. light blue
A
color
[ "A. light orange", "B. light red", "C. light purple", "D. light blue" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[5.0, 0.0, 0.9999999999999999], [5.0, 0.0, -6.123233995736766e-17], [5.0, 1.0, -6.123233995736766e-17], [5.0, 1.0, 0.9999999999999999]], "3": [[5.0, 0.0, -6.123233995736766e-17], [6.0, 0.0, 0.0], [6.0, 1.0, 0.0], [5.0, 1.0, -6.123233995736766e-17]], "6": [[6...
2d_perception_connectivity_47_1_3
In the cube net shown in the image, is face 1 directly connected to face 3, yes or no? <image_0>
A
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[5.0, 0.0, 0.9999999999999999], [5.0, 0.0, -6.123233995736766e-17], [5.0, 1.0, -6.123233995736766e-17], [5.0, 1.0, 0.9999999999999999]], "3": [[5.0, 0.0, -6.123233995736766e-17], [6.0, 0.0, 0.0], [6.0, 1.0, 0.0], [5.0, 1.0, -6.123233995736766e-17]], "6": [[6...
2d_perception_connectivity_47_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": "Linear 6-Face Row", "faces": {"1": [[5.0, 0.0, 0.9999999999999999], [5.0, 0.0, -6.123233995736766e-17], [5.0, 1.0, -6.123233995736766e-17], [5.0, 1.0, 0.9999999999999999]], "3": [[5.0, 0.0, -6.123233995736766e-17], [6.0, 0.0, 0.0], [6.0, 1.0, 0.0], [5.0, 1.0, -6.123233995736766e-17]], "6": [[6...
2d_perception_color_48_1
What color is face 1 in the cube net shown in the image? <image_0> A. light blue B. light green C. light red D. yellow
D
color
[ "A. light blue", "B. light green", "C. light red", "D. yellow" ]
{"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"2": [[0.0, 0.0, 0.0], [6.123233995736766e-17, 0.0, 1.0], [6.123233995736766e-17, 1.0, 1.0], [0.0, 1.0, 0.0]], "5": [[-1, 0, 0], [0, 0, 0], [0, 1, 0], [-1, 1, 0]], "1": [[6.123233995736766e-17, 0.0, 1.0], [-0.9999999999999999, 0.0, 1.0000000000000002], [-0.99...
2d_perception_color_48_6
What color is face 6 in the cube net shown in the image? <image_0> A. yellow B. light blue C. light green D. light orange
C
color
[ "A. yellow", "B. light blue", "C. light green", "D. light orange" ]
{"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"2": [[0.0, 0.0, 0.0], [6.123233995736766e-17, 0.0, 1.0], [6.123233995736766e-17, 1.0, 1.0], [0.0, 1.0, 0.0]], "5": [[-1, 0, 0], [0, 0, 0], [0, 1, 0], [-1, 1, 0]], "1": [[6.123233995736766e-17, 0.0, 1.0], [-0.9999999999999999, 0.0, 1.0000000000000002], [-0.99...
2d_perception_connectivity_48_2_6
In the cube net shown in the image, is face 2 directly connected to face 6, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"2": [[0.0, 0.0, 0.0], [6.123233995736766e-17, 0.0, 1.0], [6.123233995736766e-17, 1.0, 1.0], [0.0, 1.0, 0.0]], "5": [[-1, 0, 0], [0, 0, 0], [0, 1, 0], [-1, 1, 0]], "1": [[6.123233995736766e-17, 0.0, 1.0], [-0.9999999999999999, 0.0, 1.0000000000000002], [-0.99...
2d_perception_connectivity_48_5_6
In the cube net shown in the image, is face 5 directly connected to face 6, yes or no? <image_0>
B
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"2": [[0.0, 0.0, 0.0], [6.123233995736766e-17, 0.0, 1.0], [6.123233995736766e-17, 1.0, 1.0], [0.0, 1.0, 0.0]], "5": [[-1, 0, 0], [0, 0, 0], [0, 1, 0], [-1, 1, 0]], "1": [[6.123233995736766e-17, 0.0, 1.0], [-0.9999999999999999, 0.0, 1.0000000000000002], [-0.99...
2d_perception_color_49_2
What color is face 2 in the cube net shown in the image? <image_0> A. light purple B. yellow C. light orange D. light blue
A
color
[ "A. light purple", "B. yellow", "C. light orange", "D. light blue" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"6": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "4": [[0.0, 1.0, 0.0], [0.0, 1.0, 1.0], [-2.83276944882399e-16, 0.0, 1.0], [-2.83276944882399e-16, 0.0, 0.0]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0], [0.0, 1.0, 0.0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1...
2d_perception_color_49_6
What color is face 6 in the cube net shown in the image? <image_0> A. light green B. yellow C. light blue D. light orange
A
color
[ "A. light green", "B. yellow", "C. light blue", "D. light orange" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"6": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "4": [[0.0, 1.0, 0.0], [0.0, 1.0, 1.0], [-2.83276944882399e-16, 0.0, 1.0], [-2.83276944882399e-16, 0.0, 0.0]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0], [0.0, 1.0, 0.0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1...
2d_perception_connectivity_49_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": "1-3-2 Net", "faces": {"6": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "4": [[0.0, 1.0, 0.0], [0.0, 1.0, 1.0], [-2.83276944882399e-16, 0.0, 1.0], [-2.83276944882399e-16, 0.0, 0.0]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0], [0.0, 1.0, 0.0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1...
2d_perception_connectivity_49_4_5
In the cube net shown in the image, is face 4 directly connected to face 5, yes or no? <image_0>
A
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"6": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "4": [[0.0, 1.0, 0.0], [0.0, 1.0, 1.0], [-2.83276944882399e-16, 0.0, 1.0], [-2.83276944882399e-16, 0.0, 0.0]], "5": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0], [0.0, 1.0, 0.0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1...