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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...
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...
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...
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...
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]]...
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]]...
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]]...
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]]...
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...
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...
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...
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...
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...
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...
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...
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...
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,...
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,...
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,...
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,...
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, 1.0000...
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, 1.0000...
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, 1.0000...
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, 1.0000...
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....
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....
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....
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....
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...
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...
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...
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...
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"...
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"...
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"...
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"...
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...
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...
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...
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...
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], [...
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], [...
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], [...
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], [...
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,...
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,...
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,...
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,...
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,...
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,...
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,...
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,...
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],...
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],...
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],...
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],...
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],...
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],...
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],...
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],...
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, ...
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, ...
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, ...
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, ...
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], [...
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], [...
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], [...
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], [...
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....
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....
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....
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....
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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, 1.110223024625...
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, 1.110223024625...
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, 1.110223024625...
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, 1.110223024625...
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], [0.9999999999999...
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], [0.9999999999999...
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], [0.9999999999999...
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], [0.9999999999999...
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....
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....
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....
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....