U-tiling: UQC1291
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1419 |
*22222 |
(2,6,3) |
{6,4} |
{4.4.4.4.4.4}{4.4.4.4} |
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
|
False
|
|
sqc3403
|
|
Fmmm |
69 |
orthorhombic |
{6,4} |
8 |
(2,6) |
|
G
|
False
|
|
sqc9538
|
|
Fddd |
70 |
orthorhombic |
{6,4} |
16 |
(2,7) |
|
D
|
False
|
|
sqc3418
|
|
Cmma |
67 |
orthorhombic |
{6,4} |
8 |
(2,6) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<50.1:160:91 4 5 96 47 48 49 20 111 14 15 116 57 58 59 131 24 25 136 67 68 69 40 151 34 35 156 77 78 79 101 44 45 106 60 81 54 55 86 141 64 65 146 80 121 74 75 126 84 85 117 118 119 110 94 95 107 108 109 120 104 105 114 115 124 125 157 158 159 150 134 135 147 148 149 160 144 145 154 155,2 8 6 7 10 12 18 16 17 20 22 28 26 27 30 32 38 36 37 40 42 48 46 47 50 52 58 56 57 60 62 68 66 67 70 72 78 76 77 80 82 88 86 87 90 92 98 96 97 100 102 108 106 107 110 112 118 116 117 120 122 128 126 127 130 132 138 136 137 140 142 148 146 147 150 152 158 156 157 160,21 3 5 86 87 9 30 31 13 15 106 107 19 40 23 25 126 127 29 33 35 146 147 39 61 43 45 116 117 49 70 71 53 55 96 97 59 80 63 65 156 157 69 73 75 136 137 79 121 83 85 89 130 131 93 95 99 140 141 103 105 109 150 151 113 115 119 160 123 125 129 133 135 139 143 145 149 153 155 159:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,6 4 6 4 4 4 6 4 6 4 4 4 6 6 6 6> {(2, 150): 't2', (2, 155): 'tau3', (2, 120): 't3^-1', (0, 37): 't1^-1', (0, 146): 'tau3^-1*t1^-1*tau2', (2, 25): 'tau2^-1', (2, 66): 'tau3^-1', (0, 126): 'tau2*t1^-1*tau3^-1', (0, 157): 'tau3*t1*tau2^-1', (2, 140): 't2^-1', (0, 55): 't3^-1', (0, 45): 't2^-1', (2, 75): 'tau2', (0, 10): 't2', (2, 36): 'tau3', (2, 149): 't2^-1', (0, 5): 't3', (2, 136): 'tau2^-1', (0, 36): 't1^-1', (0, 26): 't1^-1', (0, 119): 'tau1', (2, 89): 't3', (0, 38): 't1^-1', (0, 147): 'tau3^-1*t1^-1*tau2', (2, 26): 'tau2^-1', (0, 50): 't3^-1', (0, 40): 't2^-1', (0, 149): 't2^-1*tau1^-1*t3', (0, 139): 't3*tau1^-1*t2^-1', (0, 109): 'tau1^-1', (0, 28): 't1^-1', (0, 128): 'tau2*t1^-1*tau3^-1', (2, 139): 't3', (0, 138): 'tau2^-1*t1*tau3', (2, 159): 't2', (0, 15): 't2', (0, 0): 't3', (2, 35): 'tau3', (0, 27): 't1^-1', (2, 130): 't3', }