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_75_3
What color is face 3 in the cube net shown in the image? <image_0> A. light purple B. light orange C. light red D. light green
C
color
[ "A. light purple", "B. light orange", "C. light red", "D. light green" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[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]], "2": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_color_75_5
What color is face 5 in the cube net shown in the image? <image_0> A. light red B. light blue C. light orange D. light green
C
color
[ "A. light red", "B. light blue", "C. light orange", "D. light green" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[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]], "2": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_connectivity_75_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": {"3": [[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]], "2": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_connectivity_75_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
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[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]], "2": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_color_76_2
What color is face 2 in the cube net shown in the image? <image_0> A. light orange B. light green C. light purple D. light red
C
color
[ "A. light orange", "B. light green", "C. light purple", "D. light red" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"6": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "5": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "1": [[0.0, 1.0, 1....
2d_perception_color_76_1
What color is face 1 in the cube net shown in the image? <image_0> A. light orange B. light purple C. yellow D. light green
C
color
[ "A. light orange", "B. light purple", "C. yellow", "D. light green" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"6": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "5": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "1": [[0.0, 1.0, 1....
2d_perception_connectivity_76_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": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"6": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "5": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "1": [[0.0, 1.0, 1....
2d_perception_connectivity_76_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
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"6": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "5": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "1": [[0.0, 1.0, 1....
2d_perception_color_77_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 green
A
color
[ "A. light blue", "B. yellow", "C. light red", "D. light green" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"4": [[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]], "5": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "6": [[3.0, 1.0, 0....
2d_perception_color_77_1
What color is face 1 in the cube net shown in the image? <image_0> A. light purple B. yellow C. light red D. light orange
B
color
[ "A. light purple", "B. yellow", "C. light red", "D. light orange" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"4": [[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]], "5": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "6": [[3.0, 1.0, 0....
2d_perception_connectivity_77_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
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"4": [[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]], "5": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "6": [[3.0, 1.0, 0....
2d_perception_connectivity_77_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
[ "No", "Yes" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"4": [[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]], "5": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "6": [[3.0, 1.0, 0....
2d_perception_color_78_3
What color is face 3 in the cube net shown in the image? <image_0> A. light purple B. light orange C. light green D. light red
D
color
[ "A. light purple", "B. light orange", "C. light green", "D. light red" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "5": [[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]], "6": [[3, 1, 0], [4, 1, 0...
2d_perception_color_78_2
What color is face 2 in the cube net shown in the image? <image_0> A. light green B. yellow C. light blue D. light purple
D
color
[ "A. light green", "B. yellow", "C. light blue", "D. light purple" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "5": [[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]], "6": [[3, 1, 0], [4, 1, 0...
2d_perception_connectivity_78_3_4
In the cube net shown in the image, is face 3 directly connected to face 4, yes or no? <image_0>
B
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "5": [[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]], "6": [[3, 1, 0], [4, 1, 0...
2d_perception_connectivity_78_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
[ "No", "Yes" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[4.0, 1.0, 0.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [4.0, 2.0, 0.0]], "5": [[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]], "6": [[3, 1, 0], [4, 1, 0...
2d_perception_color_79_4
What color is face 4 in the cube net shown in the image? <image_0> A. light purple B. light orange C. light blue D. light red
C
color
[ "A. light purple", "B. light orange", "C. light blue", "D. light red" ]
{"initial_net": {"name": "Invalid D", "faces": {"1": [[2.0, 0.9999999999999999, -1.0], [2.0, 0.9999999999999999, -1.1102230246251565e-16], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, -1.0]], "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]], "3": [[1, 1, 0], [1, 2,...
2d_perception_color_79_1
What color is face 1 in the cube net shown in the image? <image_0> A. yellow B. light blue C. light purple D. light orange
A
color
[ "A. yellow", "B. light blue", "C. light purple", "D. light orange" ]
{"initial_net": {"name": "Invalid D", "faces": {"1": [[2.0, 0.9999999999999999, -1.0], [2.0, 0.9999999999999999, -1.1102230246251565e-16], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, -1.0]], "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]], "3": [[1, 1, 0], [1, 2,...
2d_perception_connectivity_79_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": "Invalid D", "faces": {"1": [[2.0, 0.9999999999999999, -1.0], [2.0, 0.9999999999999999, -1.1102230246251565e-16], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, -1.0]], "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]], "3": [[1, 1, 0], [1, 2,...
2d_perception_connectivity_79_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": "Invalid D", "faces": {"1": [[2.0, 0.9999999999999999, -1.0], [2.0, 0.9999999999999999, -1.1102230246251565e-16], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, -1.0]], "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]], "3": [[1, 1, 0], [1, 2,...
2d_perception_color_80_1
What color is face 1 in the cube net shown in the image? <image_0> A. light orange B. light green C. light red D. yellow
D
color
[ "A. light orange", "B. light green", "C. light red", "D. yellow" ]
{"initial_net": {"name": "2-2 net", "faces": {"3": [[0.9999999999999999, 3.0, 1.0], [1.0, 3.0, 0.0], [2.0, 3.0, 1.1102230246251565e-16], [2.0, 3.0, 1.0]], "1": [[0.9999999999999999, 2.0, 1.0], [1.0, 2.0, 0.0], [1.0, 3.0, 0.0], [0.9999999999999999, 3.0, 1.0]], "2": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "5": [[1....
2d_perception_color_80_6
What color is face 6 in the cube net shown in the image? <image_0> A. yellow B. light green C. light red D. light blue
B
color
[ "A. yellow", "B. light green", "C. light red", "D. light blue" ]
{"initial_net": {"name": "2-2 net", "faces": {"3": [[0.9999999999999999, 3.0, 1.0], [1.0, 3.0, 0.0], [2.0, 3.0, 1.1102230246251565e-16], [2.0, 3.0, 1.0]], "1": [[0.9999999999999999, 2.0, 1.0], [1.0, 2.0, 0.0], [1.0, 3.0, 0.0], [0.9999999999999999, 3.0, 1.0]], "2": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "5": [[1....
2d_perception_connectivity_80_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": "2-2 net", "faces": {"3": [[0.9999999999999999, 3.0, 1.0], [1.0, 3.0, 0.0], [2.0, 3.0, 1.1102230246251565e-16], [2.0, 3.0, 1.0]], "1": [[0.9999999999999999, 2.0, 1.0], [1.0, 2.0, 0.0], [1.0, 3.0, 0.0], [0.9999999999999999, 3.0, 1.0]], "2": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "5": [[1....
2d_perception_connectivity_80_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": "2-2 net", "faces": {"3": [[0.9999999999999999, 3.0, 1.0], [1.0, 3.0, 0.0], [2.0, 3.0, 1.1102230246251565e-16], [2.0, 3.0, 1.0]], "1": [[0.9999999999999999, 2.0, 1.0], [1.0, 2.0, 0.0], [1.0, 3.0, 0.0], [0.9999999999999999, 3.0, 1.0]], "2": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "5": [[1....
2d_perception_color_81_3
What color is face 3 in the cube net shown in the image? <image_0> A. light blue B. light green C. yellow D. light red
D
color
[ "A. light blue", "B. light green", "C. yellow", "D. light red" ]
{"initial_net": {"name": "Invalid D", "faces": {"1": [[3.0000000000000004, 3.0000000000000004, 2.220446049250313e-16], [3.0000000000000004, 2.0, 0.0], [3.0, 2.0, 1.0], [3.0, 3.0, 1.0000000000000002]], "2": [[3.0, 3.0, 1.0000000000000002], [3.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 3.0, 1.0000000000000002]], "3": [[3.0, 2....
2d_perception_color_81_5
What color is face 5 in the cube net shown in the image? <image_0> A. light orange B. light red C. light blue D. light green
A
color
[ "A. light orange", "B. light red", "C. light blue", "D. light green" ]
{"initial_net": {"name": "Invalid D", "faces": {"1": [[3.0000000000000004, 3.0000000000000004, 2.220446049250313e-16], [3.0000000000000004, 2.0, 0.0], [3.0, 2.0, 1.0], [3.0, 3.0, 1.0000000000000002]], "2": [[3.0, 3.0, 1.0000000000000002], [3.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 3.0, 1.0000000000000002]], "3": [[3.0, 2....
2d_perception_connectivity_81_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 D", "faces": {"1": [[3.0000000000000004, 3.0000000000000004, 2.220446049250313e-16], [3.0000000000000004, 2.0, 0.0], [3.0, 2.0, 1.0], [3.0, 3.0, 1.0000000000000002]], "2": [[3.0, 3.0, 1.0000000000000002], [3.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 3.0, 1.0000000000000002]], "3": [[3.0, 2....
2d_perception_connectivity_81_1_5
In the cube net shown in the image, is face 1 directly connected to face 5, yes or no? <image_0>
B
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "Invalid D", "faces": {"1": [[3.0000000000000004, 3.0000000000000004, 2.220446049250313e-16], [3.0000000000000004, 2.0, 0.0], [3.0, 2.0, 1.0], [3.0, 3.0, 1.0000000000000002]], "2": [[3.0, 3.0, 1.0000000000000002], [3.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 3.0, 1.0000000000000002]], "3": [[3.0, 2....
2d_perception_color_82_5
What color is face 5 in the cube net shown in the image? <image_0> A. light purple B. yellow C. light green D. light orange
D
color
[ "A. light purple", "B. yellow", "C. light green", "D. light orange" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "2": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "3": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "4": [[3.0, 0.0, 0.0], [3.0, 0.0,...
2d_perception_color_82_1
What color is face 1 in the cube net shown in the image? <image_0> A. light blue B. yellow C. light red D. light green
B
color
[ "A. light blue", "B. yellow", "C. light red", "D. light green" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "2": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "3": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "4": [[3.0, 0.0, 0.0], [3.0, 0.0,...
2d_perception_connectivity_82_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": {"1": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "2": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "3": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "4": [[3.0, 0.0, 0.0], [3.0, 0.0,...
2d_perception_connectivity_82_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": "Linear 6-Face Row", "faces": {"1": [[3.0, 0.0, 1.0000000000000002], [2.0, 0.0, 1.0], [2.0, 1.0, 1.0], [3.0, 1.0, 1.0000000000000002]], "2": [[2.0, 0.0, 1.0], [2.0, 0.0, 0.0], [2.0, 1.0, 0.0], [2.0, 1.0, 1.0]], "3": [[2, 0, 0], [3, 0, 0], [3, 1, 0], [2, 1, 0]], "4": [[3.0, 0.0, 0.0], [3.0, 0.0,...
2d_perception_color_83_3
What color is face 3 in the cube net shown in the image? <image_0> A. light red B. light orange C. light green D. light purple
A
color
[ "A. light red", "B. light orange", "C. light green", "D. light purple" ]
{"initial_net": {"name": "Big T Net", "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]], "2": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "3": [[2.0, -0.999999999...
2d_perception_color_83_4
What color is face 4 in the cube net shown in the image? <image_0> A. light red B. light purple C. light blue D. light green
C
color
[ "A. light red", "B. light purple", "C. light blue", "D. light green" ]
{"initial_net": {"name": "Big T Net", "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]], "2": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "3": [[2.0, -0.999999999...
2d_perception_connectivity_83_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
[ "Yes", "No" ]
{"initial_net": {"name": "Big T Net", "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]], "2": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "3": [[2.0, -0.999999999...
2d_perception_connectivity_83_1_4
In the cube net shown in the image, is face 1 directly connected to face 4, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "Big T Net", "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]], "2": [[1.0, -0.9999999999999999, 1.0], [2.0, -0.9999999999999999, 1.0], [2.0, -2.0, 1.0], [1.0, -2.0, 1.0]], "3": [[2.0, -0.999999999...
2d_perception_color_84_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": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"4": [[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]], "3": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_color_84_6
What color is face 6 in the cube net shown in the image? <image_0> A. light blue B. light orange C. light purple D. light green
D
color
[ "A. light blue", "B. light orange", "C. light purple", "D. light green" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"4": [[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]], "3": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_connectivity_84_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": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"4": [[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]], "3": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_connectivity_84_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": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"4": [[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]], "3": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_color_85_4
What color is face 4 in the cube net shown in the image? <image_0> A. yellow B. light green C. light blue D. light orange
C
color
[ "A. yellow", "B. light green", "C. light blue", "D. light orange" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "2": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]]...
2d_perception_color_85_6
What color is face 6 in the cube net shown in the image? <image_0> A. light green B. light orange C. light blue D. light red
A
color
[ "A. light green", "B. light orange", "C. light blue", "D. light red" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "2": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]]...
2d_perception_connectivity_85_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
[ "No", "Yes" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "2": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]]...
2d_perception_connectivity_85_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": {"3": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "2": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]]...
2d_perception_color_86_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 red
B
color
[ "A. yellow", "B. light blue", "C. light green", "D. light red" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"4": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "5": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "6": [[0.0, 1.0, 1....
2d_perception_color_86_3
What color is face 3 in the cube net shown in the image? <image_0> A. light purple B. light orange C. light red D. light blue
C
color
[ "A. light purple", "B. light orange", "C. light red", "D. light blue" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"4": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "5": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "6": [[0.0, 1.0, 1....
2d_perception_connectivity_86_4_2
In the cube net shown in the image, is face 4 directly connected to face 2, yes or no? <image_0>
B
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"4": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "5": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "6": [[0.0, 1.0, 1....
2d_perception_connectivity_86_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": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"4": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "5": [[1.0, 1.0, 1.0], [0.0, 1.0, 1.0000000000000002], [0.0, 2.0, 1.0000000000000002], [1.0, 2.0, 1.0]], "6": [[0.0, 1.0, 1....
2d_perception_color_87_5
What color is face 5 in the cube net shown in the image? <image_0> A. light orange B. light red C. light blue D. light green
A
color
[ "A. light orange", "B. light red", "C. light blue", "D. light green" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "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]], "5": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "4": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "3": [[3, 1, 0], [4, 1, 0...
2d_perception_color_87_1
What color is face 1 in the cube net shown in the image? <image_0> A. yellow B. light red C. light blue D. light green
A
color
[ "A. yellow", "B. light red", "C. light blue", "D. light green" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "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]], "5": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "4": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "3": [[3, 1, 0], [4, 1, 0...
2d_perception_connectivity_87_4_3
In the cube net shown in the image, is face 4 directly connected to face 3, yes or no? <image_0>
A
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "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]], "5": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "4": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "3": [[3, 1, 0], [4, 1, 0...
2d_perception_connectivity_87_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": "Net B: Row 5 + Face 6 (shift=1)", "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]], "5": [[4.0, 1.0, 1.0], [3.0, 1.0, 1.0], [3.0, 2.0, 1.0], [4.0, 2.0, 1.0]], "4": [[3.0, 1.0, 1.0], [3.0, 1.0, 0.0], [3.0, 2.0, 0.0], [3.0, 2.0, 1.0]], "3": [[3, 1, 0], [4, 1, 0...
2d_perception_color_88_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": "1-3-2 Net", "faces": {"1": [[0.9999999999999999, 2.0, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.9999999999999999, 2.0, 1.1102230246251565e-16]], "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]], "3": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "4": [[...
2d_perception_color_88_3
What color is face 3 in the cube net shown in the image? <image_0> A. light purple B. light blue C. light green D. light red
D
color
[ "A. light purple", "B. light blue", "C. light green", "D. light red" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"1": [[0.9999999999999999, 2.0, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.9999999999999999, 2.0, 1.1102230246251565e-16]], "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]], "3": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "4": [[...
2d_perception_connectivity_88_2_5
In the cube net shown in the image, is face 2 directly connected to face 5, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"1": [[0.9999999999999999, 2.0, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.9999999999999999, 2.0, 1.1102230246251565e-16]], "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]], "3": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "4": [[...
2d_perception_connectivity_88_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": {"1": [[0.9999999999999999, 2.0, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.9999999999999999, 2.0, 1.1102230246251565e-16]], "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]], "3": [[1, 1, 0], [2, 1, 0], [2, 2, 0], [1, 2, 0]], "4": [[...
2d_perception_color_89_1
What color is face 1 in the cube net shown in the image? <image_0> A. yellow B. light red C. light orange D. light blue
A
color
[ "A. yellow", "B. light red", "C. light orange", "D. light blue" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "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_89_3
What color is face 3 in the cube net shown in the image? <image_0> A. light purple B. light blue C. light red D. yellow
C
color
[ "A. light purple", "B. light blue", "C. light red", "D. yellow" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "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_89_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": "Net B: Row 5 + Face 6 (shift=1)", "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_89_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
[ "No", "Yes" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "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_90_3
What color is face 3 in the cube net shown in the image? <image_0> A. light blue B. yellow C. light green D. light red
D
color
[ "A. light blue", "B. yellow", "C. light green", "D. light red" ]
{"initial_net": {"name": "Big T Net", "faces": {"4": [[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]], "6": [[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]], "1"...
2d_perception_color_90_6
What color is face 6 in the cube net shown in the image? <image_0> A. light red B. light green C. yellow D. light purple
B
color
[ "A. light red", "B. light green", "C. yellow", "D. light purple" ]
{"initial_net": {"name": "Big T Net", "faces": {"4": [[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]], "6": [[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]], "1"...
2d_perception_connectivity_90_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": "Big T Net", "faces": {"4": [[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]], "6": [[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]], "1"...
2d_perception_connectivity_90_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": "Big T Net", "faces": {"4": [[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]], "6": [[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]], "1"...
2d_perception_color_91_1
What color is face 1 in the cube net shown in the image? <image_0> A. light purple B. light green C. yellow D. light blue
C
color
[ "A. light purple", "B. light green", "C. yellow", "D. light blue" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "6": [[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, 0.0]], "4": [[2.0, 1.0, 1....
2d_perception_color_91_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. light blue
B
color
[ "A. light green", "B. light orange", "C. light purple", "D. light blue" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "6": [[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, 0.0]], "4": [[2.0, 1.0, 1....
2d_perception_connectivity_91_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": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "6": [[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, 0.0]], "4": [[2.0, 1.0, 1....
2d_perception_connectivity_91_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": "Net B: Row 5 + Face 6 (shift=1)", "faces": {"5": [[0.9999999999999999, 1.0, 1.0], [1.0, 1.0, 0.0], [1.0, 2.0, 0.0], [0.9999999999999999, 2.0, 1.0]], "6": [[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, 0.0]], "4": [[2.0, 1.0, 1....
2d_perception_color_92_5
What color is face 5 in the cube net shown in the image? <image_0> A. yellow B. light orange C. light blue D. light green
B
color
[ "A. yellow", "B. light orange", "C. light blue", "D. light green" ]
{"initial_net": {"name": "2 Rows of 3", "faces": {"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]], "5": [[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": [[2.0, 0.0, 0.9999999999999999], [2.0, -1.0, 0.9999999999999999], [1.0, -1.0, 1.0], [1.0, 0.0, 1.0]], "4": [[0, 0, ...
2d_perception_color_92_2
What color is face 2 in the cube net shown in the image? <image_0> A. light orange B. light purple C. light red D. light green
B
color
[ "A. light orange", "B. light purple", "C. light red", "D. light green" ]
{"initial_net": {"name": "2 Rows of 3", "faces": {"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]], "5": [[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": [[2.0, 0.0, 0.9999999999999999], [2.0, -1.0, 0.9999999999999999], [1.0, -1.0, 1.0], [1.0, 0.0, 1.0]], "4": [[0, 0, ...
2d_perception_connectivity_92_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": "2 Rows of 3", "faces": {"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]], "5": [[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": [[2.0, 0.0, 0.9999999999999999], [2.0, -1.0, 0.9999999999999999], [1.0, -1.0, 1.0], [1.0, 0.0, 1.0]], "4": [[0, 0, ...
2d_perception_connectivity_92_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": "2 Rows of 3", "faces": {"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]], "5": [[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": [[2.0, 0.0, 0.9999999999999999], [2.0, -1.0, 0.9999999999999999], [1.0, -1.0, 1.0], [1.0, 0.0, 1.0]], "4": [[0, 0, ...
2d_perception_color_93_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 red
A
color
[ "A. light purple", "B. light blue", "C. light green", "D. light red" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"1": [[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]], "2": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "3": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_color_93_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 red
C
color
[ "A. yellow", "B. light blue", "C. light green", "D. light red" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"1": [[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]], "2": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "3": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_connectivity_93_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": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"1": [[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]], "2": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "3": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_connectivity_93_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=4)", "faces": {"1": [[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]], "2": [[5.0, 1.0, 0.0], [5.0, 1.0, 1.0], [5.0, 2.0, 1.0], [5.0, 2.0, 0.0]], "3": [[5.0, 1.0, 1.0], [4.0, 1.0, 1.0], [4.0, 2.0, 1.0], [5.0,...
2d_perception_color_94_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. light orange
A
color
[ "A. light green", "B. light red", "C. light purple", "D. light orange" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"1": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "3": [[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_94_1
What color is face 1 in the cube net shown in the image? <image_0> A. light red B. light green C. light purple D. yellow
D
color
[ "A. light red", "B. light green", "C. light purple", "D. yellow" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"1": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "3": [[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_94_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": "Net B: Row 5 + Face 6 (shift=3)", "faces": {"1": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "3": [[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_94_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=3)", "faces": {"1": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "2": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]], "3": [[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_95_6
What color is face 6 in the cube net shown in the image? <image_0> A. light red B. light orange C. light green D. light purple
C
color
[ "A. light red", "B. light orange", "C. light green", "D. light purple" ]
{"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"3": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "2": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]]...
2d_perception_color_95_1
What color is face 1 in the cube net shown in the image? <image_0> A. yellow B. light red C. light orange D. light green
A
color
[ "A. yellow", "B. light red", "C. light orange", "D. light green" ]
{"initial_net": {"name": "t-shaped Net Variant 1", "faces": {"3": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "2": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]]...
2d_perception_connectivity_95_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": {"3": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "2": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]]...
2d_perception_connectivity_95_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": "t-shaped Net Variant 1", "faces": {"3": [[0.9999999999999999, 0.0, 1.0], [1.0, 0.0, 0.0], [1.0, 1.0, 0.0], [0.9999999999999999, 1.0, 1.0]], "2": [[2.0, 0.0, 1.0], [0.9999999999999999, 0.0, 1.0], [0.9999999999999999, 1.0, 1.0], [2.0, 1.0, 1.0]], "4": [[1, 0, 0], [2, 0, 0], [2, 1, 0], [1, 1, 0]]...
2d_perception_color_96_6
What color is face 6 in the cube net shown in the image? <image_0> A. light blue B. light red C. yellow D. light green
D
color
[ "A. light blue", "B. light red", "C. yellow", "D. light green" ]
{"initial_net": {"name": "2-2 net", "faces": {"6": [[3.0, -2.8327694488239893e-16, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0, 0.9999999999999997, 2.220446049250313e-16]], "4": [[2.0000000000000004, -2.83276944882399e-16, 0.0], [2.0, 0.0, 1.0], [3.0, 0.0, 1.000000000000...
2d_perception_color_96_1
What color is face 1 in the cube net shown in the image? <image_0> A. light red B. light purple C. yellow D. light green
C
color
[ "A. light red", "B. light purple", "C. yellow", "D. light green" ]
{"initial_net": {"name": "2-2 net", "faces": {"6": [[3.0, -2.8327694488239893e-16, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0, 0.9999999999999997, 2.220446049250313e-16]], "4": [[2.0000000000000004, -2.83276944882399e-16, 0.0], [2.0, 0.0, 1.0], [3.0, 0.0, 1.000000000000...
2d_perception_connectivity_96_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
[ "No", "Yes" ]
{"initial_net": {"name": "2-2 net", "faces": {"6": [[3.0, -2.8327694488239893e-16, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0, 0.9999999999999997, 2.220446049250313e-16]], "4": [[2.0000000000000004, -2.83276944882399e-16, 0.0], [2.0, 0.0, 1.0], [3.0, 0.0, 1.000000000000...
2d_perception_connectivity_96_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": "2-2 net", "faces": {"6": [[3.0, -2.8327694488239893e-16, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0, 0.9999999999999997, 2.220446049250313e-16]], "4": [[2.0000000000000004, -2.83276944882399e-16, 0.0], [2.0, 0.0, 1.0], [3.0, 0.0, 1.000000000000...
2d_perception_color_97_6
What color is face 6 in the cube net shown in the image? <image_0> A. light red B. yellow C. light purple D. light green
D
color
[ "A. light red", "B. yellow", "C. light purple", "D. light green" ]
{"initial_net": {"name": "3-3 Net", "faces": {"1": [[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]], "4": [[1.0, 3.0, 1.0000000000000002], [1.0,...
2d_perception_color_97_3
What color is face 3 in the cube net shown in the image? <image_0> A. yellow B. light red C. light purple D. light blue
B
color
[ "A. yellow", "B. light red", "C. light purple", "D. light blue" ]
{"initial_net": {"name": "3-3 Net", "faces": {"1": [[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]], "4": [[1.0, 3.0, 1.0000000000000002], [1.0,...
2d_perception_connectivity_97_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
[ "No", "Yes" ]
{"initial_net": {"name": "3-3 Net", "faces": {"1": [[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]], "4": [[1.0, 3.0, 1.0000000000000002], [1.0,...
2d_perception_connectivity_97_2_5
In the cube net shown in the image, is face 2 directly connected to face 5, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "3-3 Net", "faces": {"1": [[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]], "4": [[1.0, 3.0, 1.0000000000000002], [1.0,...
2d_perception_color_98_1
What color is face 1 in the cube net shown in the image? <image_0> A. light purple B. yellow C. light blue D. light orange
B
color
[ "A. light purple", "B. yellow", "C. light blue", "D. light orange" ]
{"initial_net": {"name": "2-2 net", "faces": {"1": [[0.9999999999999999, 1.0, 1.0], [1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 1.0, 1.0]], "2": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "3": [[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":...
2d_perception_color_98_4
What color is face 4 in the cube net shown in the image? <image_0> A. light blue B. light red C. light green D. light purple
A
color
[ "A. light blue", "B. light red", "C. light green", "D. light purple" ]
{"initial_net": {"name": "2-2 net", "faces": {"1": [[0.9999999999999999, 1.0, 1.0], [1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 1.0, 1.0]], "2": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "3": [[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":...
2d_perception_connectivity_98_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
[ "No", "Yes" ]
{"initial_net": {"name": "2-2 net", "faces": {"1": [[0.9999999999999999, 1.0, 1.0], [1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 1.0, 1.0]], "2": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "3": [[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":...
2d_perception_connectivity_98_2_5
In the cube net shown in the image, is face 2 directly connected to face 5, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "2-2 net", "faces": {"1": [[0.9999999999999999, 1.0, 1.0], [1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 1.0, 1.0]], "2": [[0.9999999999999999, 1.0, 0.0], [1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [0.9999999999999999, 1.0, 1.0]], "3": [[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":...
2d_perception_color_99_6
What color is face 6 in the cube net shown in the image? <image_0> A. yellow B. light orange C. light green D. light purple
C
color
[ "A. yellow", "B. light orange", "C. light green", "D. light purple" ]
{"initial_net": {"name": "Big T Net", "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]], "3": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.0000000000000...
2d_perception_color_99_5
What color is face 5 in the cube net shown in the image? <image_0> A. yellow B. light purple C. light green D. light orange
D
color
[ "A. yellow", "B. light purple", "C. light green", "D. light orange" ]
{"initial_net": {"name": "Big T Net", "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]], "3": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.0000000000000...
2d_perception_connectivity_99_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": [[0.9999999999999999, -2.0, 0.9999999999999998], [1.0, -3.0, 1.0000000000000002], [1.0, -3.0000000000000004, 2.220446049250313e-16], [0.9999999999999999, -2.0000000000000004, -2.220446049250313e-16]], "3": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.0000000000000...
2d_perception_connectivity_99_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 Net", "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]], "3": [[1.0, -3.0, 1.0000000000000002], [2.0, -3.0, 1.0000000000000...