U-tiling: UQC5931
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2404 |
*222222 |
(6,7,2) |
{8,3,4,4,4,4} |
{3.6.6.3.3.6.6.3}{3.6.6}{6.6.6.6... |
s-nets
3 records listed.
Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
P
|
True
|
|
sqc6986
|
|
Pmmm |
47 |
orthorhombic |
{7,3,4,4,4,4} |
14 |
(6,7) |
G
|
False
|
|
sqc7117
|
|
I212121 |
24 |
orthorhombic |
{8,3,4,4,4,4} |
14 |
(6,8) |
D
|
False
|
|
sqc1477
|
|
Pmmm |
47 |
orthorhombic |
{3,4,4,4,8,4} |
7 |
(6,7) |
Topological data
Vertex degrees | {8,3,4,4,4,4} |
2D vertex symbol | {3.6.6.3.3.6.6.3}{3.6.6}{6.6.6.6}{6.6.6.6}{6.6.6.6}{6.6.6.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<31.1:120:16 3 5 7 9 11 13 15 18 20 22 24 26 28 30 46 33 35 37 39 41 43 45 48 50 52 54 56 58 60 76 63 65 67 69 71 73 75 78 80 82 84 86 88 90 106 93 95 97 99 101 103 105 108 110 112 114 116 118 120,2 18 6 15 8 10 12 14 17 21 30 23 25 27 29 32 48 36 45 38 40 42 44 47 51 60 53 55 57 59 62 78 66 75 68 70 72 74 77 81 90 83 85 87 89 92 108 96 105 98 100 102 104 107 111 120 113 115 117 119,31 4 5 66 67 23 24 40 41 72 73 29 30 46 19 20 81 82 55 56 87 88 34 35 96 97 53 54 102 103 59 60 49 50 111 112 117 118 91 64 65 83 84 100 101 89 90 106 79 80 115 116 94 95 113 114 119 120 109 110:3 6 6 3 6 6 3 6 6 3 6 6,8 3 4 4 4 4 8 4 3 4 4 3 4 3> {(2, 56): 't3*tau1^-1*t2^-1*tau3*t1', (2, 57): 't3*tau1^-1*t2^-1*tau3*t1', (0, 60): 't2^-1*tau3', (2, 52): 'tau2^-1*t3^-1', (2, 53): 'tau2^-1*t3^-1', (2, 54): 'tau2^-1*t1', (2, 55): 'tau2^-1*t1', (1, 107): 't1^-1*tau3^-1*t2', (2, 40): 't3', (2, 41): 't3*tau1^-1', (2, 42): 't3*tau1^-1', (2, 39): 't3', (2, 26): 'tau3', (2, 27): 'tau3', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 12): 't2', (1, 77): 'tau3^-1*t2', (2, 11): 't2', (2, 118): 't1^-1*tau3^-1*t2', (2, 119): 't1^-1*tau3^-1*t2', (2, 112): 'tau2^-1*t3^-1', (2, 113): 'tau2^-1*t3^-1', (2, 114): 'tau2^-1*t3^-1*tau1*t2', (2, 115): 'tau2^-1*t3^-1*tau1*t2', (0, 105): 't1^-1*tau3^-1*t2', (2, 105): 't1^-1', (2, 100): 'tau1*t2', (2, 99): 'tau1*t2', (2, 88): 'tau3^-1*t2', (2, 89): 'tau3^-1*t2'}