U-tiling: UQC5308
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1890 |
*2323 |
(5,5,2) |
{3,4,4,3,3} |
{5.6.5}{5.5.6.6}{6.6.6.6}{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
|
False
|
|
sqc12577
|
|
P4232 |
208 |
cubic |
{3,4,4,3,3} |
38 |
(5,5) |
|
G
|
False
|
|
sqc12571
|
|
I213 |
199 |
cubic |
{3,4,4,3,3} |
38 |
(5,6) |
|
D
|
False
|
|
sqc12572
|
|
F-43m |
216 |
cubic |
{3,4,4,3,3} |
38 |
(5,5) |
Topological data
| Vertex degrees | {3,4,4,3,3} |
| 2D vertex symbol | {5.6.5}{5.5.6.6}{6.6.6.6}{6.6.6}{5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.1:264:34 3 5 7 9 11 56 14 16 18 20 22 133 25 27 29 31 33 36 38 40 42 44 199 47 49 51 53 55 58 60 62 64 66 232 69 71 73 75 77 111 80 82 84 86 88 155 91 93 95 97 99 177 102 104 106 108 110 113 115 117 119 121 210 124 126 128 130 132 135 137 139 141 143 243 146 148 150 152 154 157 159 161 163 165 221 168 170 172 174 176 179 181 183 185 187 254 190 192 194 196 198 201 203 205 207 209 212 214 216 218 220 223 225 227 229 231 234 236 238 240 242 245 247 249 251 253 256 258 260 262 264,2 10 15 6 8 20 44 13 21 17 19 66 24 32 48 28 30 53 143 35 43 59 39 41 64 46 54 50 52 209 57 65 61 63 68 76 92 72 74 97 242 79 87 103 83 85 108 121 90 98 94 96 165 101 109 105 107 187 112 120 180 116 118 185 123 131 191 127 129 196 220 134 142 202 138 140 207 145 153 224 149 151 229 253 156 164 235 160 162 240 167 175 246 171 173 251 231 178 186 182 184 189 197 193 195 264 200 208 204 206 211 219 257 215 217 262 222 230 226 228 233 241 237 239 244 252 248 250 255 263 259 261,12 4 5 83 84 30 31 87 88 15 16 171 172 74 75 175 176 45 26 27 127 128 131 132 56 37 38 160 161 151 152 164 165 48 49 226 227 96 97 230 231 59 60 204 205 184 185 208 209 89 70 71 215 216 219 220 100 81 82 129 130 92 93 116 117 120 121 103 104 248 249 239 240 252 253 177 114 115 228 229 188 125 126 199 136 137 237 238 250 251 241 242 221 147 148 193 194 197 198 232 158 159 195 196 243 169 170 217 218 180 181 259 260 263 264 191 192 202 203 261 262 254 213 214 224 225 235 236 246 247 257 258:5 6 5 5 6 6 5 5 6 5 6 5 5 6 5 6 6 5 6 6 5 6 5 6,3 4 4 3 3 4 4 3 3 4 3 3 4 4 3 4 4 4 4 3 4 3 3 4 4 4 3 3 3 3 4 3 3 4 3 3 4 3> {(1, 120): 't1', (2, 184): 'tau2', (2, 185): 'tau2*t3*tau1^-1', (2, 186): 'tau2*t3*tau1^-1', (2, 181): 'tau2*t3*tau1^-1', (2, 182): 'tau2*t3*tau1^-1', (2, 183): 'tau2', (1, 245): 'tau1^-1', (1, 107): 'tau3^-1', (1, 109): 'tau3^-1*t1^-1', (2, 42): 't1^-1', (2, 164): 't1', (2, 165): 'tau1', (2, 160): 't1', (2, 161): 'tau3^-1', (2, 162): 'tau3^-1', (1, 102): 'tau3^-1', (1, 252): 'tau1^-1*t3*tau2', (1, 219): 't2^-1', (2, 159): 't1', (2, 152): 't1^-1*tau3^-1', (2, 153): 't1^-1*tau3^-1', (1, 223): 'tau2', (2, 148): 't1^-1*tau3^-1', (0, 253): 't2^-1', (1, 228): 'tau2', (2, 141): 't2', (2, 142): 't2', (2, 143): 'tau2^-1', (2, 137): 't2', (2, 138): 't2', (0, 165): 't3', (1, 197): 't2', (0, 143): 'tau2^-1*t3^-1*tau1', (2, 252): 't2', (0, 121): 't2', (2, 248): 't2', (2, 251): 't2', (2, 247): 't2', (0, 110): 't1', (1, 175): 't3', (0, 99): 'tau3^-1*t1^-1', (2, 99): 'tau3^-1', (2, 208): 't3^-1', (2, 204): 't3^-1', (2, 205): 'tau1^-1', (2, 206): 'tau1^-1', (2, 207): 't3^-1', (2, 203): 't3^-1', (1, 173): 'tau1', (2, 193): 'tau3*t1'}