U-tiling: UQC2082
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1672 |
*22222 |
(2,6,4) |
{8,3} |
{4.4.4.3.3.4.4.4}{4.4.3} |
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
|
|
sqc560
|
|
Pmmm |
47 |
orthorhombic |
{3,8} |
4 |
(2,6) |
|
G
|
False
|
|
sqc10409
|
|
Fddd |
70 |
orthorhombic |
{8,3} |
16 |
(2,7) |
|
D
|
False
|
|
sqc4330
|
|
Cmma |
67 |
orthorhombic |
{3,8} |
8 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.4.3.3.4.4.4}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.3:176:45 4 5 17 18 19 31 32 110 56 15 16 42 43 132 67 26 27 39 40 41 154 78 37 38 176 48 49 61 62 63 75 76 121 59 60 86 87 99 70 71 83 84 85 165 81 82 143 122 92 93 116 117 118 141 142 111 103 104 127 128 129 152 153 114 115 163 164 125 126 174 175 166 136 137 160 161 162 155 147 148 171 172 173 158 159 169 170,2 7 48 6 9 11 13 18 59 17 20 22 24 29 70 28 31 33 35 40 81 39 42 44 46 51 50 53 55 57 62 61 64 66 68 73 72 75 77 79 84 83 86 88 90 95 125 94 97 99 101 106 114 105 108 110 112 117 116 119 121 123 128 127 130 132 134 139 169 138 141 143 145 150 158 149 152 154 156 161 160 163 165 167 172 171 174 176,89 3 5 50 8 10 99 111 14 16 61 19 21 121 133 25 27 72 30 32 143 155 36 38 83 41 43 165 122 47 49 52 54 132 100 58 60 63 65 110 166 69 71 74 76 176 144 80 82 85 87 154 91 93 127 96 98 102 104 116 107 109 113 115 118 120 124 126 129 131 135 137 171 140 142 146 148 160 151 153 157 159 162 164 168 170 173 175:3 4 4 4 3 4 3 4 3 4 4 4 4 4 3 4 4 3 4 4 3 4 3 4,8 3 8 3 8 3 8 3 8 8 8 8 3 3 3 3> {(0, 117): 'tau1^-1', (0, 129): 't2^-1', (2, 76): 'tau3^-1', (2, 43): 'tau3', (0, 22): 't1^-1', (0, 140): 't3^-1', (1, 157): 'tau3^-1*t1^-1*tau2', (0, 154): 'tau3^-1*t1^-1*tau2', (2, 32): 'tau2^-1', (1, 25): 't1^-1', (0, 151): 't3', (0, 163): 't2^-1', (0, 174): 't2', (2, 22): 'tau2^-1', (0, 115): 'tau1^-1', (0, 159): 't2^-1*tau1^-1*t3', (0, 126): 'tau1', (0, 171): 't2*tau1*t3^-1', (0, 138): 't3^-1*tau1*t2', (0, 152): 't3', (0, 116): 'tau1^-1', (0, 161): 't2^-1*tau1^-1*t3', (0, 128): 'tau1', (0, 54): 't2^-1', (0, 172): 't2*tau1*t3^-1', (2, 159): 'tau3^-1*t1^-1*tau2', (2, 27): 't1^-1', (0, 162): 't2^-1', (2, 87): 'tau2', (2, 77): 'tau2', (1, 36): 't1^-1', (0, 170): 't2*tau1*t3^-1', (0, 141): 't3^-1', (2, 66): 'tau3^-1', (2, 33): 'tau3', (0, 10): 't3', (2, 38): 't1^-1', (1, 168): 'tau3*t1*tau2^-1', (0, 131): 't2^-1', (0, 98): 't3', (0, 127): 'tau1', (0, 33): 't1^-1', (2, 170): 'tau3*t1*tau2^-1', (0, 165): 'tau3*t1*tau2^-1', }