U-tiling: UQC3275
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc258 |
*266 |
(3,3,2) |
{3,4,6} |
{6.5.5}{5.5.5.5}{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
|
|
sqc12766
|
|
Pn-3m |
224 |
cubic |
{3,4,6} |
40 |
(3,3) |
|
G
|
False
|
|
sqc12769
|
|
Ia-3 |
206 |
cubic |
{3,4,6} |
40 |
(3,3) |
|
D
|
False
|
|
sqc12768
|
|
Fd-3m |
227 |
cubic |
{3,4,6} |
40 |
(3,3) |
Topological data
| Vertex degrees | {3,4,6} |
| 2D vertex symbol | {6.5.5}{5.5.5.5}{5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.1:288:7 8 4 6 10 12 25 26 16 18 31 32 22 24 28 30 34 36 61 62 40 42 73 74 46 48 79 80 52 54 91 92 58 60 64 66 109 110 70 72 76 78 82 84 139 140 88 90 94 96 157 158 100 102 163 164 106 108 112 114 181 182 118 120 151 152 124 126 199 200 130 132 205 206 136 138 142 144 223 224 148 150 154 156 160 162 166 168 217 218 172 174 211 212 178 180 184 186 235 236 190 192 229 230 196 198 202 204 208 210 214 216 220 222 226 228 232 234 238 240 271 272 244 246 265 266 250 252 277 278 256 258 283 284 262 264 268 270 274 276 280 282 286 288,13 3 5 12 19 9 11 15 17 30 21 23 36 43 27 29 55 33 35 67 39 41 66 45 47 78 85 51 53 84 57 59 96 97 63 65 69 71 114 121 75 77 127 81 83 87 89 144 151 93 95 99 101 162 169 105 107 168 175 111 113 187 117 119 186 123 125 156 129 131 204 211 135 137 210 217 141 143 229 147 149 228 153 155 241 159 161 247 165 167 171 173 222 177 179 216 253 183 185 189 191 240 259 195 197 234 265 201 203 271 207 209 213 215 219 221 277 225 227 231 233 283 237 239 243 245 276 249 251 270 255 257 282 261 263 288 267 269 273 275 279 281 285 287,2 15 16 41 42 8 21 22 53 54 14 71 72 20 89 90 26 45 46 119 120 32 57 58 149 150 38 69 70 44 191 192 50 87 88 56 233 234 62 99 100 107 108 68 74 123 124 251 252 80 129 130 137 138 86 92 153 154 275 276 98 173 174 104 171 172 110 177 178 197 198 116 189 190 122 167 168 128 215 216 134 213 214 140 219 220 239 240 146 231 232 152 209 210 158 243 244 257 258 164 249 250 170 176 263 264 182 255 256 245 246 188 194 261 262 200 267 268 281 282 206 273 274 212 218 287 288 224 279 280 269 270 230 236 285 286 242 248 254 260 266 272 278 284:6 5 5 5 6 5 5 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5,3 4 6 3 4 6 6 3 4 3 4 3 3 3 4 3 4 3 4 3 4 6 3 3 4 3 3 3 4 3 3 4 3 3 3 3 4 3 3 3> {(2, 184): 't3', (2, 185): 't3', (2, 178): 't3', (2, 179): 't3', (2, 172): 't1', (0, 168): 'tau3^-1', (0, 169): 'tau3^-1', (0, 174): 'tau2^-1', (0, 175): 'tau2^-1', (2, 101): 't1^-1', (2, 160): 't3^-1', (2, 161): 't3^-1', (0, 282): 'tau1', (0, 283): 'tau1', (2, 286): 't2^-1', (2, 287): 't2^-1', (1, 221): 'tau3', (2, 281): 't2', (0, 156): 'tau2', (0, 157): 'tau2', (1, 101): 'tau2^-1', (2, 142): 't2', (0, 276): 'tau1^-1', (0, 277): 'tau1^-1', (2, 268): 't2^-1', (2, 269): 't2^-1', (1, 203): 'tau3^-1', (2, 143): 't2', (2, 136): 't1', (2, 130): 't1^-1', (2, 131): 't1^-1', (0, 126): 'tau3', (0, 127): 'tau3', (1, 179): 'tau2^-1', (2, 112): 't3', (2, 113): 't3', (2, 280): 't2', (1, 281): 'tau1^-1', (1, 287): 'tau1', (2, 83): 't1^-1', (2, 64): 't1^-1', (2, 65): 't1^-1'}