Dataset Viewer
Auto-converted to Parquet Duplicate
qid
stringlengths
23
33
question
stringlengths
96
127
images
images listlengths
1
1
answer
stringclasses
4 values
type
stringclasses
2 values
choices
sequencelengths
2
4
question_info
stringlengths
1.35k
2.12k
2d_perception_color_0_5
What color is face 5 in the cube net shown in the image? <image_0> A. light orange B. yellow C. light purple D. light red
A
color
[ "A. light orange", "B. yellow", "C. light purple", "D. light red" ]
{"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"1": [[3.0, 1.0, 1.0000000000000002], [2.0, 0.9999999999999999, 1.0], [1.9999999999999998, 2.0, 1.0], [3.0, 2.0, 1.0]], "2": [[2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 1.1102230246251564e-16], [1.9999999999999998, 2.0,...
2d_perception_color_0_1
What color is face 1 in the cube net shown in the image? <image_0> A. light purple B. light blue C. light orange D. yellow
D
color
[ "A. light purple", "B. light blue", "C. light orange", "D. yellow" ]
{"initial_net": {"name": "Net H: Two rows with bottom row shifted right", "faces": {"1": [[3.0, 1.0, 1.0000000000000002], [2.0, 0.9999999999999999, 1.0], [1.9999999999999998, 2.0, 1.0], [3.0, 2.0, 1.0]], "2": [[2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 1.1102230246251564e-16], [1.9999999999999998, 2.0,...
2d_perception_connectivity_0_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 H: Two rows with bottom row shifted right", "faces": {"1": [[3.0, 1.0, 1.0000000000000002], [2.0, 0.9999999999999999, 1.0], [1.9999999999999998, 2.0, 1.0], [3.0, 2.0, 1.0]], "2": [[2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 1.1102230246251564e-16], [1.9999999999999998, 2.0,...
2d_perception_connectivity_0_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": "Net H: Two rows with bottom row shifted right", "faces": {"1": [[3.0, 1.0, 1.0000000000000002], [2.0, 0.9999999999999999, 1.0], [1.9999999999999998, 2.0, 1.0], [3.0, 2.0, 1.0]], "2": [[2.0, 0.9999999999999999, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 1.1102230246251564e-16], [1.9999999999999998, 2.0,...
2d_perception_color_1_4
What color is face 4 in the cube net shown in the image? <image_0> A. light green B. light blue C. light purple D. yellow
B
color
[ "A. light green", "B. light blue", "C. light purple", "D. yellow" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"3": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "4": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "1": [[3.0, 1.0, 0....
2d_perception_color_1_1
What color is face 1 in the cube net shown in the image? <image_0> A. yellow B. light red C. light purple D. light green
A
color
[ "A. yellow", "B. light red", "C. light purple", "D. light green" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"3": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "4": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "1": [[3.0, 1.0, 0....
2d_perception_connectivity_1_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": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"3": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "4": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "1": [[3.0, 1.0, 0....
2d_perception_connectivity_1_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
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"3": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "4": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "1": [[3.0, 1.0, 0....
2d_perception_color_2_2
What color is face 2 in the cube net shown in the image? <image_0> A. light red B. light green C. light purple D. light blue
C
color
[ "A. light red", "B. light green", "C. light purple", "D. light blue" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"1": [[2.0, -1.0, 0.9999999999999997], [3.0, -0.9999999999999999, 1.0], [3.0000000000000004, -0.9999999999999998, 0.0], [2.0000000000000004, -0.9999999999999999, -4.440892098500626e-16]], "2": [[3.0, -0.9999999999999999, 1.0], [3.0, 1.224646799147353e-16, 1.0], [3.0000000...
2d_perception_color_2_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 purple
C
color
[ "A. yellow", "B. light green", "C. light blue", "D. light purple" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"1": [[2.0, -1.0, 0.9999999999999997], [3.0, -0.9999999999999999, 1.0], [3.0000000000000004, -0.9999999999999998, 0.0], [2.0000000000000004, -0.9999999999999999, -4.440892098500626e-16]], "2": [[3.0, -0.9999999999999999, 1.0], [3.0, 1.224646799147353e-16, 1.0], [3.0000000...
2d_perception_connectivity_2_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": "1-3-2 Net", "faces": {"1": [[2.0, -1.0, 0.9999999999999997], [3.0, -0.9999999999999999, 1.0], [3.0000000000000004, -0.9999999999999998, 0.0], [2.0000000000000004, -0.9999999999999999, -4.440892098500626e-16]], "2": [[3.0, -0.9999999999999999, 1.0], [3.0, 1.224646799147353e-16, 1.0], [3.0000000...
2d_perception_connectivity_2_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": "1-3-2 Net", "faces": {"1": [[2.0, -1.0, 0.9999999999999997], [3.0, -0.9999999999999999, 1.0], [3.0000000000000004, -0.9999999999999998, 0.0], [2.0000000000000004, -0.9999999999999999, -4.440892098500626e-16]], "2": [[3.0, -0.9999999999999999, 1.0], [3.0, 1.224646799147353e-16, 1.0], [3.0000000...
2d_perception_color_3_1
What color is face 1 in the cube net shown in the image? <image_0> A. yellow B. light orange C. light red D. light green
A
color
[ "A. yellow", "B. light orange", "C. light red", "D. light green" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"4": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "1": [[1.0, 0.0, 1.0...
2d_perception_color_3_3
What color is face 3 in the cube net shown in the image? <image_0> A. light purple B. yellow C. light red D. light green
C
color
[ "A. light purple", "B. yellow", "C. light red", "D. light green" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"4": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "1": [[1.0, 0.0, 1.0...
2d_perception_connectivity_3_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": "t-shaped Net Variant 2", "faces": {"4": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "1": [[1.0, 0.0, 1.0...
2d_perception_connectivity_3_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": "t-shaped Net Variant 2", "faces": {"4": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "3": [[-6.123233995736766e-17, 0.0, 1.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [-6.123233995736766e-17, 1.0, 1.0]], "2": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 0.0]], "1": [[1.0, 0.0, 1.0...
2d_perception_color_4_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": "Linear 6-Face Row", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "2": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "3": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[3, 0, 0], [4, 0, 0], [4, 1, 0], ...
2d_perception_color_4_1
What color is face 1 in the cube net shown in the image? <image_0> A. yellow B. light green C. light purple D. light orange
A
color
[ "A. yellow", "B. light green", "C. light purple", "D. light orange" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "2": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "3": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[3, 0, 0], [4, 0, 0], [4, 1, 0], ...
2d_perception_connectivity_4_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": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "2": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "3": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[3, 0, 0], [4, 0, 0], [4, 1, 0], ...
2d_perception_connectivity_4_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": "Linear 6-Face Row", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "2": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "3": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[3, 0, 0], [4, 0, 0], [4, 1, 0], ...
2d_perception_color_5_2
What color is face 2 in the cube net shown in the image? <image_0> A. light red B. light green C. light orange D. light purple
D
color
[ "A. light red", "B. light green", "C. light orange", "D. light purple" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"2": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "5": [[0.0, 1.0, 0.0], [0.0, 1.0, 1.0], [-2.83276944882399e-16, 0.0, 1.0], [-2.83276944882399e-16, 0.0, 0.0]], "3": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0], [0.0, 1.0, 0.0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1...
2d_perception_color_5_6
What color is face 6 in the cube net shown in the image? <image_0> A. light green B. light red C. light orange D. yellow
A
color
[ "A. light green", "B. light red", "C. light orange", "D. yellow" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"2": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "5": [[0.0, 1.0, 0.0], [0.0, 1.0, 1.0], [-2.83276944882399e-16, 0.0, 1.0], [-2.83276944882399e-16, 0.0, 0.0]], "3": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0], [0.0, 1.0, 0.0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1...
2d_perception_connectivity_5_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": "1-3-2 Net", "faces": {"2": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "5": [[0.0, 1.0, 0.0], [0.0, 1.0, 1.0], [-2.83276944882399e-16, 0.0, 1.0], [-2.83276944882399e-16, 0.0, 0.0]], "3": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0], [0.0, 1.0, 0.0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1...
2d_perception_connectivity_5_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": "1-3-2 Net", "faces": {"2": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "5": [[0.0, 1.0, 0.0], [0.0, 1.0, 1.0], [-2.83276944882399e-16, 0.0, 1.0], [-2.83276944882399e-16, 0.0, 0.0]], "3": [[1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0], [0.0, 1.0, 0.0]], "4": [[1.0, 0.0, 0.0], [1.0, 0.0, 1...
2d_perception_color_6_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 blue
A
color
[ "A. light red", "B. light green", "C. yellow", "D. light blue" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"6": [[0.9999999999999999, 0.9999999999999998, 0.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.9999999999999999, -2.220446049250313e-16, 2.220446049250313e-16]], "2": [[1.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0000000000000002], [1.0, 0.0, 1.000000000000000...
2d_perception_color_6_2
What color is face 2 in the cube net shown in the image? <image_0> A. light orange B. light red C. light blue D. light purple
D
color
[ "A. light orange", "B. light red", "C. light blue", "D. light purple" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"6": [[0.9999999999999999, 0.9999999999999998, 0.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.9999999999999999, -2.220446049250313e-16, 2.220446049250313e-16]], "2": [[1.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0000000000000002], [1.0, 0.0, 1.000000000000000...
2d_perception_connectivity_6_6_5
In the cube net shown in the image, is face 6 directly connected to face 5, yes or no? <image_0>
B
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"6": [[0.9999999999999999, 0.9999999999999998, 0.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.9999999999999999, -2.220446049250313e-16, 2.220446049250313e-16]], "2": [[1.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0000000000000002], [1.0, 0.0, 1.000000000000000...
2d_perception_connectivity_6_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": "1-3-2 Net", "faces": {"6": [[0.9999999999999999, 0.9999999999999998, 0.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.9999999999999999, -2.220446049250313e-16, 2.220446049250313e-16]], "2": [[1.0, 1.0, 1.0], [2.0, 1.0, 1.0], [2.0, 0.0, 1.0000000000000002], [1.0, 0.0, 1.000000000000000...
2d_perception_color_7_4
What color is face 4 in the cube net shown in the image? <image_0> A. light blue B. yellow C. light green D. light purple
A
color
[ "A. light blue", "B. yellow", "C. light green", "D. light purple" ]
{"initial_net": {"name": "t-shaped Net", "faces": {"6": [[0.0, 0.9999999999999999, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.0, 1.0, 0.0]], "3": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "1": [[-6.123233995736766e-17, 2.0, 1.0], [0.0, 0.9999999999999999, 1.0], [0.0, 1.0, 0.0], [-6.123233995736766e-1...
2d_perception_color_7_5
What color is face 5 in the cube net shown in the image? <image_0> A. light blue B. light purple C. yellow D. light orange
D
color
[ "A. light blue", "B. light purple", "C. yellow", "D. light orange" ]
{"initial_net": {"name": "t-shaped Net", "faces": {"6": [[0.0, 0.9999999999999999, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.0, 1.0, 0.0]], "3": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "1": [[-6.123233995736766e-17, 2.0, 1.0], [0.0, 0.9999999999999999, 1.0], [0.0, 1.0, 0.0], [-6.123233995736766e-1...
2d_perception_connectivity_7_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, 0.9999999999999999, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.0, 1.0, 0.0]], "3": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "1": [[-6.123233995736766e-17, 2.0, 1.0], [0.0, 0.9999999999999999, 1.0], [0.0, 1.0, 0.0], [-6.123233995736766e-1...
2d_perception_connectivity_7_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": "t-shaped Net", "faces": {"6": [[0.0, 0.9999999999999999, 1.0], [1.0, 0.9999999999999999, 1.0], [1.0, 1.0, 0.0], [0.0, 1.0, 0.0]], "3": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "1": [[-6.123233995736766e-17, 2.0, 1.0], [0.0, 0.9999999999999999, 1.0], [0.0, 1.0, 0.0], [-6.123233995736766e-1...
2d_perception_color_8_5
What color is face 5 in the cube net shown in the image? <image_0> A. light blue B. light red C. light green D. light orange
D
color
[ "A. light blue", "B. light red", "C. light green", "D. light orange" ]
{"initial_net": {"name": "invalid_G", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "5": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "3": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "2": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0...
2d_perception_color_8_3
What color is face 3 in the cube net shown in the image? <image_0> A. light red B. yellow C. light green D. light blue
A
color
[ "A. light red", "B. yellow", "C. light green", "D. light blue" ]
{"initial_net": {"name": "invalid_G", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "5": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "3": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "2": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0...
2d_perception_connectivity_8_3_2
In the cube net shown in the image, is face 3 directly connected to face 2, yes or no? <image_0>
A
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "invalid_G", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "5": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "3": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "2": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0...
2d_perception_connectivity_8_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": "invalid_G", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "5": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "3": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "2": [[3, 0, 0], [4, 0, 0], [4, 1, 0], [3, 1, 0...
2d_perception_color_9_4
What color is face 4 in the cube net shown in the image? <image_0> A. light blue B. light green C. yellow D. light red
A
color
[ "A. light blue", "B. light green", "C. yellow", "D. light red" ]
{"initial_net": {"name": "invalid_E", "faces": {"4": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "3": [[-1.232595164407831e-32, 2.0000000000000004, 2.220446049250313e-16], [-6.123233995736766e-17, 1.0000000000000004, 3.3306690738754696e-16], [0.9999999999999998, 1.0000000000000004, 2.718345674301793e-16], [0.99999999...
2d_perception_color_9_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": "invalid_E", "faces": {"4": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "3": [[-1.232595164407831e-32, 2.0000000000000004, 2.220446049250313e-16], [-6.123233995736766e-17, 1.0000000000000004, 3.3306690738754696e-16], [0.9999999999999998, 1.0000000000000004, 2.718345674301793e-16], [0.99999999...
2d_perception_connectivity_9_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": "invalid_E", "faces": {"4": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "3": [[-1.232595164407831e-32, 2.0000000000000004, 2.220446049250313e-16], [-6.123233995736766e-17, 1.0000000000000004, 3.3306690738754696e-16], [0.9999999999999998, 1.0000000000000004, 2.718345674301793e-16], [0.99999999...
2d_perception_connectivity_9_3_2
In the cube net shown in the image, is face 3 directly connected to face 2, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "invalid_E", "faces": {"4": [[0, 1, 0], [1, 1, 0], [1, 2, 0], [0, 2, 0]], "3": [[-1.232595164407831e-32, 2.0000000000000004, 2.220446049250313e-16], [-6.123233995736766e-17, 1.0000000000000004, 3.3306690738754696e-16], [0.9999999999999998, 1.0000000000000004, 2.718345674301793e-16], [0.99999999...
2d_perception_color_10_2
What color is face 2 in the cube net shown in the image? <image_0> A. light red B. light purple C. light blue D. light green
B
color
[ "A. light red", "B. light purple", "C. light blue", "D. light green" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"1": [[0.9999999999999999, 3.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [0.9999999999999999, 3.0, 0.0]], "6": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "2": [[1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0], [1.0, 2.0, 0.0]], "3": [[1.0, 3.0, 1.0000000000000002], [2....
2d_perception_color_10_5
What color is face 5 in the cube net shown in the image? <image_0> A. light green B. light orange C. light red D. light purple
B
color
[ "A. light green", "B. light orange", "C. light red", "D. light purple" ]
{"initial_net": {"name": "1-3-2 Net", "faces": {"1": [[0.9999999999999999, 3.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [0.9999999999999999, 3.0, 0.0]], "6": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "2": [[1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0], [1.0, 2.0, 0.0]], "3": [[1.0, 3.0, 1.0000000000000002], [2....
2d_perception_connectivity_10_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": "1-3-2 Net", "faces": {"1": [[0.9999999999999999, 3.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [0.9999999999999999, 3.0, 0.0]], "6": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "2": [[1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0], [1.0, 2.0, 0.0]], "3": [[1.0, 3.0, 1.0000000000000002], [2....
2d_perception_connectivity_10_6_5
In the cube net shown in the image, is face 6 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, 3.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0], [0.9999999999999999, 3.0, 0.0]], "6": [[1, 2, 0], [2, 2, 0], [2, 3, 0], [1, 3, 0]], "2": [[1.0, 2.0, 1.0], [2.0, 2.0, 1.0], [2.0, 2.0, 0.0], [1.0, 2.0, 0.0]], "3": [[1.0, 3.0, 1.0000000000000002], [2....
2d_perception_color_11_1
What color is face 1 in the cube net shown in the image? <image_0> A. light purple B. yellow C. light orange D. light red
B
color
[ "A. light purple", "B. yellow", "C. light orange", "D. light red" ]
{"initial_net": {"name": "3-3 Net", "faces": {"2": [[0.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002]], "4": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1....
2d_perception_color_11_3
What color is face 3 in the cube net shown in the image? <image_0> A. light purple B. light red C. light green D. light orange
B
color
[ "A. light purple", "B. light red", "C. light green", "D. light orange" ]
{"initial_net": {"name": "3-3 Net", "faces": {"2": [[0.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002]], "4": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1....
2d_perception_connectivity_11_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": "3-3 Net", "faces": {"2": [[0.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002]], "4": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1....
2d_perception_connectivity_11_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": "3-3 Net", "faces": {"2": [[0.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 0.0, 1.0000000000000002], [0.0, 0.0, 1.0000000000000002]], "4": [[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [1.0, 1.0, 1.0], [0.0, 1.0, 1.0]], "3": [[0, 0, 0], [1, 0, 0], [1, 1, 0], [0, 1, 0]], "1": [[1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1....
2d_perception_color_12_5
What color is face 5 in the cube net shown in the image? <image_0> A. light purple B. light green C. light orange D. light red
C
color
[ "A. light purple", "B. light green", "C. light orange", "D. light red" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "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]], "4": [[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_12_6
What color is face 6 in the cube net shown in the image? <image_0> A. light blue B. light purple C. light green D. light red
C
color
[ "A. light blue", "B. light purple", "C. light green", "D. light red" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=3)", "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]], "4": [[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_12_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": "Net B: Row 5 + Face 6 (shift=3)", "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]], "4": [[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_12_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": {"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]], "4": [[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_13_5
What color is face 5 in the cube net shown in the image? <image_0> A. light blue B. light purple C. light green D. light orange
D
color
[ "A. light blue", "B. light purple", "C. light green", "D. light orange" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "3": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "6": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[3, 0, 0], [4, 0, 0], [4, 1, 0], ...
2d_perception_color_13_3
What color is face 3 in the cube net shown in the image? <image_0> A. light red B. light purple C. light green D. light blue
A
color
[ "A. light red", "B. light purple", "C. light green", "D. light blue" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "3": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "6": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[3, 0, 0], [4, 0, 0], [4, 1, 0], ...
2d_perception_connectivity_13_4_5
In the cube net shown in the image, is face 4 directly connected to face 5, yes or no? <image_0>
A
connectivity
[ "No", "Yes" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "3": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "6": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[3, 0, 0], [4, 0, 0], [4, 1, 0], ...
2d_perception_connectivity_13_1_3
In the cube net shown in the image, is face 1 directly connected to face 3, yes or no? <image_0>
A
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "Linear 6-Face Row", "faces": {"1": [[4.0, 0.0, 0.0], [4.0, 0.0, 1.0], [4.0, 1.0, 1.0], [4.0, 1.0, 0.0]], "3": [[4.0, 0.0, 1.0], [3.0, 0.0, 1.0], [3.0, 1.0, 1.0], [4.0, 1.0, 1.0]], "6": [[3.0, 0.0, 1.0], [3.0, 0.0, 0.0], [3.0, 1.0, 0.0], [3.0, 1.0, 1.0]], "4": [[3, 0, 0], [4, 0, 0], [4, 1, 0], ...
2d_perception_color_14_6
What color is face 6 in the cube net shown in the image? <image_0> A. light orange B. light blue C. light green D. light purple
C
color
[ "A. light orange", "B. light blue", "C. light green", "D. light purple" ]
{"initial_net": {"name": "Big T - Variant 1", "faces": {"5": [[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]], "6": [[0.0, -6.123233995736766e-17, 1.0], [-6.123233995736767e-17, 0.9999999999999999, 1.0000000000000002], [0.9999999999999999, 0.9999999...
2d_perception_color_14_3
What color is face 3 in the cube net shown in the image? <image_0> A. light red B. light blue C. yellow D. light purple
A
color
[ "A. light red", "B. light blue", "C. yellow", "D. light purple" ]
{"initial_net": {"name": "Big T - Variant 1", "faces": {"5": [[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]], "6": [[0.0, -6.123233995736766e-17, 1.0], [-6.123233995736767e-17, 0.9999999999999999, 1.0000000000000002], [0.9999999999999999, 0.9999999...
2d_perception_connectivity_14_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
[ "Yes", "No" ]
{"initial_net": {"name": "Big T - Variant 1", "faces": {"5": [[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]], "6": [[0.0, -6.123233995736766e-17, 1.0], [-6.123233995736767e-17, 0.9999999999999999, 1.0000000000000002], [0.9999999999999999, 0.9999999...
2d_perception_connectivity_14_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
[ "No", "Yes" ]
{"initial_net": {"name": "Big T - Variant 1", "faces": {"5": [[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]], "6": [[0.0, -6.123233995736766e-17, 1.0], [-6.123233995736767e-17, 0.9999999999999999, 1.0000000000000002], [0.9999999999999999, 0.9999999...
2d_perception_color_15_6
What color is face 6 in the cube net shown in the image? <image_0> A. light orange B. light blue C. light green D. light purple
C
color
[ "A. light orange", "B. light blue", "C. light green", "D. light purple" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"4": [[4.0, 1.0000000000000009, 0.0], [5.0, 0.9999999999999999, 0.0], [5.0, 0.9999999999999999, 1.0], [4.0, 1.0000000000000009, 1.0]], "5": [[5.0, 0.9999999999999999, 0.0], [5.0, -6.123233995736766e-17, 0.0], [5.0, -6.123233995736766e-17, 1.0], [5.0,...
2d_perception_color_15_2
What color is face 2 in the cube net shown in the image? <image_0> A. light purple B. yellow C. light blue D. light green
A
color
[ "A. light purple", "B. yellow", "C. light blue", "D. light green" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"4": [[4.0, 1.0000000000000009, 0.0], [5.0, 0.9999999999999999, 0.0], [5.0, 0.9999999999999999, 1.0], [4.0, 1.0000000000000009, 1.0]], "5": [[5.0, 0.9999999999999999, 0.0], [5.0, -6.123233995736766e-17, 0.0], [5.0, -6.123233995736766e-17, 1.0], [5.0,...
2d_perception_connectivity_15_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": "Net B: Row 5 + Face 6 (shift=4)", "faces": {"4": [[4.0, 1.0000000000000009, 0.0], [5.0, 0.9999999999999999, 0.0], [5.0, 0.9999999999999999, 1.0], [4.0, 1.0000000000000009, 1.0]], "5": [[5.0, 0.9999999999999999, 0.0], [5.0, -6.123233995736766e-17, 0.0], [5.0, -6.123233995736766e-17, 1.0], [5.0,...
2d_perception_connectivity_15_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, 1.0000000000000009, 0.0], [5.0, 0.9999999999999999, 0.0], [5.0, 0.9999999999999999, 1.0], [4.0, 1.0000000000000009, 1.0]], "5": [[5.0, 0.9999999999999999, 0.0], [5.0, -6.123233995736766e-17, 0.0], [5.0, -6.123233995736766e-17, 1.0], [5.0,...
2d_perception_color_16_3
What color is face 3 in the cube net shown in the image? <image_0> A. light green B. yellow C. light blue D. light red
D
color
[ "A. light green", "B. yellow", "C. light blue", "D. light red" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "5": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "6": [[3.0, 1.0, 0....
2d_perception_color_16_4
What color is face 4 in the cube net shown in the image? <image_0> A. light green B. light orange C. light blue D. light purple
C
color
[ "A. light green", "B. light orange", "C. light blue", "D. light purple" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "5": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "6": [[3.0, 1.0, 0....
2d_perception_connectivity_16_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": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "5": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "6": [[3.0, 1.0, 0....
2d_perception_connectivity_16_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
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=2)", "faces": {"3": [[3.0, 1.0, 1.0000000000000002], [2.0, 1.0, 1.0], [2.0, 2.0, 1.0], [3.0, 2.0, 1.0000000000000002]], "5": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3, 2, 0], [2, 2, 0]], "6": [[3.0, 1.0, 0....
2d_perception_color_17_4
What color is face 4 in the cube net shown in the image? <image_0> A. light purple B. light green C. light red D. light blue
D
color
[ "A. light purple", "B. light green", "C. light red", "D. light blue" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "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_17_3
What color is face 3 in the cube net shown in the image? <image_0> A. light red B. light orange C. yellow D. light purple
A
color
[ "A. light red", "B. light orange", "C. yellow", "D. light purple" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "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_17_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
[ "No", "Yes" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "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_17_4_5
In the cube net shown in the image, is face 4 directly connected to face 5, yes or no? <image_0>
A
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=1)", "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_18_2
What color is face 2 in the cube net shown in the image? <image_0> A. light orange B. light purple C. light green D. yellow
B
color
[ "A. light orange", "B. light purple", "C. light green", "D. yellow" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[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": [[3.0000000000000004, 0.0, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0000000000000004, 1.0, 2.220446...
2d_perception_color_18_6
What color is face 6 in the cube net shown in the image? <image_0> A. light purple B. light blue C. light red D. light green
D
color
[ "A. light purple", "B. light blue", "C. light red", "D. light green" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[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": [[3.0000000000000004, 0.0, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0000000000000004, 1.0, 2.220446...
2d_perception_connectivity_18_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": "t-shaped Net Variant 2", "faces": {"3": [[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": [[3.0000000000000004, 0.0, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0000000000000004, 1.0, 2.220446...
2d_perception_connectivity_18_4_5
In the cube net shown in the image, is face 4 directly connected to face 5, yes or no? <image_0>
A
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "t-shaped Net Variant 2", "faces": {"3": [[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": [[3.0000000000000004, 0.0, 2.220446049250313e-16], [3.0, 0.0, 1.0000000000000002], [3.0, 1.0, 1.0000000000000002], [3.0000000000000004, 1.0, 2.220446...
2d_perception_color_19_6
What color is face 6 in the cube net shown in the image? <image_0> A. light orange B. light red C. light green D. light blue
C
color
[ "A. light orange", "B. light red", "C. light green", "D. light blue" ]
{"initial_net": {"name": "2-2 net", "faces": {"6": [[0.0, 3.0, 0.0], [1.0, 3.0, 0.0], [1.0, 3.0, 1.0], [0.0, 3.0, 1.0]], "4": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "5": [[1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [1.0, 3.0, 1.0], [1.0, 3.0, 0.0]], "2": [[0.0, 2.0, 0.0], [0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]]...
2d_perception_color_19_2
What color is face 2 in the cube net shown in the image? <image_0> A. light purple B. light green C. light red D. light orange
A
color
[ "A. light purple", "B. light green", "C. light red", "D. light orange" ]
{"initial_net": {"name": "2-2 net", "faces": {"6": [[0.0, 3.0, 0.0], [1.0, 3.0, 0.0], [1.0, 3.0, 1.0], [0.0, 3.0, 1.0]], "4": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "5": [[1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [1.0, 3.0, 1.0], [1.0, 3.0, 0.0]], "2": [[0.0, 2.0, 0.0], [0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]]...
2d_perception_connectivity_19_3_1
In the cube net shown in the image, is face 3 directly connected to face 1, yes or no? <image_0>
A
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "2-2 net", "faces": {"6": [[0.0, 3.0, 0.0], [1.0, 3.0, 0.0], [1.0, 3.0, 1.0], [0.0, 3.0, 1.0]], "4": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "5": [[1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [1.0, 3.0, 1.0], [1.0, 3.0, 0.0]], "2": [[0.0, 2.0, 0.0], [0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]]...
2d_perception_connectivity_19_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": "2-2 net", "faces": {"6": [[0.0, 3.0, 0.0], [1.0, 3.0, 0.0], [1.0, 3.0, 1.0], [0.0, 3.0, 1.0]], "4": [[0, 2, 0], [1, 2, 0], [1, 3, 0], [0, 3, 0]], "5": [[1.0, 2.0, 0.0], [1.0, 2.0, 1.0], [1.0, 3.0, 1.0], [1.0, 3.0, 0.0]], "2": [[0.0, 2.0, 0.0], [0.0, 2.0, 1.0], [1.0, 2.0, 1.0], [1.0, 2.0, 0.0]]...
2d_perception_color_20_6
What color is face 6 in the cube net shown in the image? <image_0> A. light blue B. light red C. light purple D. light green
D
color
[ "A. light blue", "B. light red", "C. light purple", "D. light green" ]
{"initial_net": {"name": "2 Rows of 3", "faces": {"6": [[1.9999999999999998, 3.0, 1.2246467991473532e-16], [2.0, 2.0, 6.123233995736765e-17], [3.0, 2.0, -2.465190328815662e-32], [3.0, 3.0, 6.123233995736766e-17]], "1": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3,...
2d_perception_color_20_1
What color is face 1 in the cube net shown in the image? <image_0> A. yellow B. light purple C. light orange D. light blue
A
color
[ "A. yellow", "B. light purple", "C. light orange", "D. light blue" ]
{"initial_net": {"name": "2 Rows of 3", "faces": {"6": [[1.9999999999999998, 3.0, 1.2246467991473532e-16], [2.0, 2.0, 6.123233995736765e-17], [3.0, 2.0, -2.465190328815662e-32], [3.0, 3.0, 6.123233995736766e-17]], "1": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3,...
2d_perception_connectivity_20_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": "2 Rows of 3", "faces": {"6": [[1.9999999999999998, 3.0, 1.2246467991473532e-16], [2.0, 2.0, 6.123233995736765e-17], [3.0, 2.0, -2.465190328815662e-32], [3.0, 3.0, 6.123233995736766e-17]], "1": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3,...
2d_perception_connectivity_20_6_5
In the cube net shown in the image, is face 6 directly connected to face 5, yes or no? <image_0>
B
connectivity
[ "Yes", "No" ]
{"initial_net": {"name": "2 Rows of 3", "faces": {"6": [[1.9999999999999998, 3.0, 1.2246467991473532e-16], [2.0, 2.0, 6.123233995736765e-17], [3.0, 2.0, -2.465190328815662e-32], [3.0, 3.0, 6.123233995736766e-17]], "1": [[2.0, 1.0, 1.0], [2.0, 1.0, 0.0], [2.0, 2.0, 0.0], [2.0, 2.0, 1.0]], "2": [[2, 1, 0], [3, 1, 0], [3,...
2d_perception_color_21_6
What color is face 6 in the cube net shown in the image? <image_0> A. light blue B. yellow C. light green D. light purple
C
color
[ "A. light blue", "B. yellow", "C. light green", "D. light purple" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"1": [[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": [[1.0, 1.0, 0.0], [1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0]], "3": [[1.0, 0.0, 0.0], [0.0, -2.83276944882399e-16, 0.0], [0.0, -2.83276944882399e-16, 1.0], [1.0, 0...
2d_perception_color_21_3
What color is face 3 in the cube net shown in the image? <image_0> A. light green B. light purple C. light blue D. light red
D
color
[ "A. light green", "B. light purple", "C. light blue", "D. light red" ]
{"initial_net": {"name": "Net B: Row 5 + Face 6 (shift=0)", "faces": {"1": [[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": [[1.0, 1.0, 0.0], [1.0, 0.0, 0.0], [1.0, 0.0, 1.0], [1.0, 1.0, 1.0]], "3": [[1.0, 0.0, 0.0], [0.0, -2.83276944882399e-16, 0.0], [0.0, -2.83276944882399e-16, 1.0], [1.0, 0...
End of preview. Expand in Data Studio
README.md exists but content is empty.
Downloads last month
25