U-tiling: UQC3319
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc324 |
*266 |
(3,2,2) |
{4,3,6} |
{12.4.12.4}{12.4.4}{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
|
|
sqc12866
|
epm
|
Pn-3m |
224 |
cubic |
{4,3,6} |
40 |
(3,2) |
|
G
|
False
|
|
sqc12864
|
|
Ia-3 |
206 |
cubic |
{4,3,6} |
40 |
(3,3) |
|
D
|
False
|
|
sqc12776
|
epy
|
Fd-3m |
227 |
cubic |
{4,3,6} |
40 |
(3,2) |
Topological data
| Vertex degrees | {4,3,6} |
| 2D vertex symbol | {12.4.12.4}{12.4.4}{4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.1:288:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224 226 228 230 232 234 236 238 240 242 244 246 248 250 252 254 256 258 260 262 264 266 268 270 272 274 276 278 280 282 284 286 288,13 8 39 5 42 19 51 11 54 26 69 17 72 32 87 23 90 43 117 29 120 55 147 35 150 67 62 41 74 189 47 192 85 80 53 92 231 59 234 97 105 65 108 110 71 121 249 77 252 127 135 83 138 140 89 151 273 95 276 158 171 101 174 169 164 107 175 195 113 198 187 182 119 152 165 125 168 200 213 131 216 211 206 137 217 237 143 240 229 224 149 207 155 210 241 255 161 258 247 167 218 173 212 261 179 264 253 243 185 246 236 191 259 230 197 265 279 203 282 271 209 215 285 221 288 277 267 227 270 233 283 239 272 245 266 251 278 257 284 263 269 275 281 287,3 4 11 12 9 10 15 16 29 30 21 22 35 36 27 28 33 34 39 40 65 66 45 46 77 78 51 52 83 84 57 58 95 96 63 64 69 70 113 114 75 76 81 82 87 88 143 144 93 94 99 100 161 162 105 106 167 168 111 112 117 118 185 186 123 124 155 156 129 130 203 204 135 136 209 210 141 142 147 148 227 228 153 154 159 160 165 166 171 172 221 222 177 178 215 216 183 184 189 190 239 240 195 196 233 234 201 202 207 208 213 214 219 220 225 226 231 232 237 238 243 244 275 276 249 250 269 270 255 256 281 282 261 262 287 288 267 268 273 274 279 280 285 286:12 4 4 4 4 4 4 12 4 12 4 4 4 4 4 4 4 12 4 4 4 4 4 4 4 4 4 4,4 3 6 4 3 6 3 6 4 4 3 3 3 3 4 3 4 4 3 4 3 6 3 4 3 3 3 3 4 3 4 3 3 3 3 4 3 3 3 3> {(1, 253): 'tau1', (1, 127): 'tau3', (1, 254): 't3', (1, 113): 't3', (1, 242): 't3^-1', (1, 245): 't3^-1', (2, 178): 'tau2^-1', (2, 179): 'tau2^-1', (2, 172): 'tau3^-1', (2, 173): 'tau3^-1', (1, 107): 't1', (1, 236): 't2^-1', (1, 239): 't2^-1', (1, 110): 't3', (1, 97): 'tau2^-1', (1, 224): 't2', (1, 227): 't2', (1, 98): 't1^-1', (1, 101): 't1^-1', (1, 217): 'tau3', (2, 286): 'tau1', (1, 218): 't2', (1, 221): 't2', (2, 281): 'tau1^-1', (1, 80): 't1^-1', (1, 211): 'tau2', (1, 212): 't1', (1, 215): 't1', (1, 200): 't2^-1', (1, 203): 't2^-1', (2, 130): 'tau3', (2, 131): 'tau3', (1, 62): 't1^-1', (1, 176): 't3', (1, 179): 't3', (2, 287): 'tau1', (2, 100): 'tau2^-1', (2, 101): 'tau2^-1', (2, 280): 'tau1^-1', (1, 161): 't3^-1', (1, 283): 'tau1', (1, 83): 't1^-1'}