U-tiling: UQC4591
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc178 |
2*23 |
(2,3,1) |
{6,3} |
{5.5.5.5.5.5}{5.5.5} |
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
|
|
sqc7299
|
|
I432 |
211 |
cubic |
{6,3} |
16 |
(2,3) |
|
G
|
False
|
|
sqc12193
|
|
I4132 |
214 |
cubic |
{6,3} |
32 |
(2,4) |
|
D
|
False
|
|
sqc12163
|
|
Fd-3m |
227 |
cubic |
{6,3} |
32 |
(2,3) |
Topological data
| Vertex degrees | {6,3,3,6} |
| 2D vertex symbol | {5.5.5.5.5.5}{5.5.5}{5.5.5}{5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<58.1:240:31 3 5 7 9 30 51 13 15 17 19 70 121 23 25 27 29 33 35 37 39 140 181 43 45 47 49 90 53 55 57 59 170 211 63 65 67 69 101 73 75 77 79 120 141 83 85 87 89 161 93 95 97 99 220 103 105 107 109 210 191 113 115 117 119 123 125 127 129 230 221 133 135 137 139 143 145 147 149 180 201 153 155 157 159 200 163 165 167 169 231 173 175 177 179 183 185 187 189 240 193 195 197 199 203 205 207 209 213 215 217 219 223 225 227 229 233 235 237 239,2 4 35 26 8 10 12 14 55 66 18 20 22 24 125 28 30 32 34 136 38 40 42 44 185 86 48 50 52 54 166 58 60 62 64 215 68 70 72 74 105 116 78 80 82 84 145 88 90 92 94 165 216 98 100 102 104 206 108 110 112 114 195 118 120 122 124 226 128 130 132 134 225 138 140 142 144 176 148 150 152 154 205 196 158 160 162 164 168 170 172 174 235 178 180 182 184 236 188 190 192 194 198 200 202 204 208 210 212 214 218 220 222 224 228 230 232 234 238 240,11 22 23 6 7 38 39 80 62 63 16 17 58 59 160 41 26 27 128 129 120 51 132 133 36 37 150 82 83 46 47 188 189 210 162 163 56 57 190 81 66 67 218 219 200 91 112 113 76 77 108 109 86 87 148 149 110 212 213 96 97 168 169 230 161 202 203 106 107 171 116 117 198 199 181 222 223 126 127 220 201 136 137 228 229 180 211 172 173 146 147 221 192 193 156 157 208 209 166 167 240 176 177 238 239 232 233 186 187 231 196 197 206 207 216 217 226 227 236 237:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,6 3 3 6 3 3 6 3 6 6 3 3 3 3 3 6 3 3 3 3 3 6 3 3 6 3 3 3 3 3 3 3> {(0, 59): 'tau2^-1', (2, 189): 't3^-1', (2, 181): 'tau1^-1', (2, 182): 'tau1^-1', (1, 114): 't2', (2, 177): 't2', (2, 178): 't2', (2, 179): 'tau3*t1', (2, 172): 'tau3', (1, 104): 't1', (1, 235): 'tau1', (2, 168): 't1*tau3', (2, 169): 'tau2*t3*tau1^-1', (2, 171): 'tau3', (1, 224): 'tau1^-1*t3*tau2', (2, 167): 't1*tau3', (2, 161): 'tau2', (2, 162): 'tau2', (2, 157): 't3', (2, 158): 't3', (1, 94): 'tau3^-1*t1^-1', (2, 149): 't1', (2, 150): 'tau1', (0, 150): 't3', (2, 137): 'tau2^-1*t3^-1*tau1', (2, 138): 'tau2^-1*t3^-1*tau1', (0, 179): 'tau3', (0, 130): 'tau2^-1*t3^-1*tau1', (2, 129): 't2', (2, 130): 'tau2^-1', (1, 204): 't3^-1', (1, 55): 'tau2^-1', (2, 108): 't1', (0, 110): 't2', (0, 239): 'tau1', (1, 175): 'tau3', (2, 107): 't1', (2, 229): 't2', (2, 70): 'tau3', (0, 100): 't1', (0, 90): 'tau3^-1*t1^-1', (0, 170): 't2', (2, 197): 't2^-1', (2, 198): 't2^-1', (1, 174): 't2'}