U-tiling: UQC5279
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1837 |
*2224 |
(5,5,2) |
{4,3,3,4,4} |
{5.5.5.5}{5.6.5}{5.6.6}{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
|
|
sqc10673
|
|
I4/mmm |
139 |
tetragonal |
{3,4,3,4,4} |
26 |
(5,5) |
G
|
False
|
|
sqc13279
|
|
I41/acd |
142 |
tetragonal |
{4,3,3,4,4} |
52 |
(5,6) |
D
|
False
|
|
sqc10648
|
|
P42/nnm |
134 |
tetragonal |
{3,4,3,4,4} |
26 |
(5,5) |
Topological data
Vertex degrees | {4,3,3,4,4} |
2D vertex symbol | {5.5.5.5}{5.6.5}{5.6.6}{6.6.6.6}{6.6.6.6} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<114.1:352:12 3 5 7 9 11 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 78 47 49 51 53 55 100 58 60 62 64 66 111 69 71 73 75 77 80 82 84 86 88 133 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 144 124 126 128 130 132 135 137 139 141 143 146 148 150 152 154 188 157 159 161 163 165 210 168 170 172 174 176 199 179 181 183 185 187 190 192 194 196 198 201 203 205 207 209 212 214 216 218 220 276 223 225 227 229 231 265 234 236 238 240 242 287 245 247 249 251 253 298 256 258 260 262 264 267 269 271 273 275 278 280 282 284 286 289 291 293 295 297 300 302 304 306 308 331 311 313 315 317 319 342 322 324 326 328 330 333 335 337 339 341 344 346 348 350 352,2 4 16 50 8 10 55 13 15 61 19 21 66 24 26 38 72 30 32 77 35 37 94 41 43 99 46 48 82 52 54 57 59 104 63 65 68 70 115 74 76 79 81 259 85 87 264 90 92 137 96 98 101 103 303 107 109 308 112 114 325 118 120 330 123 125 148 182 129 131 187 134 136 347 140 142 352 145 147 215 151 153 220 156 158 192 237 162 164 242 167 169 214 248 173 175 253 178 180 203 184 186 189 191 281 195 197 286 200 202 292 206 208 297 211 213 217 219 222 224 280 314 228 230 319 233 235 269 239 241 244 246 291 250 252 255 257 302 261 263 266 268 336 272 274 341 277 279 283 285 288 290 294 296 299 301 305 307 310 312 335 316 318 321 323 346 327 329 332 334 338 340 343 345 349 351,23 46 47 6 7 19 20 131 132 34 57 58 17 18 153 154 68 69 28 29 41 42 164 165 90 91 39 40 197 198 67 50 51 85 86 175 176 89 61 62 107 108 208 209 72 73 118 119 230 231 111 255 256 83 84 219 220 94 95 140 141 274 275 133 299 300 105 106 186 187 321 322 116 117 285 286 155 178 179 127 128 151 152 343 344 138 139 241 242 188 211 212 149 150 233 234 160 161 195 196 221 244 245 171 172 217 218 232 182 183 206 207 277 278 193 194 265 288 289 204 205 276 215 216 310 311 226 227 283 284 237 238 272 273 309 248 249 294 295 307 308 320 259 260 305 306 296 297 332 333 270 271 281 282 331 292 293 342 303 304 314 315 338 339 351 352 325 326 349 350 340 341 336 337 347 348:5 6 6 5 6 6 5 5 5 6 5 6 6 5 6 6 6 5 6 5 6 5 6 6 5 6 5 5 5 6 5 5,4 3 3 4 4 4 3 4 3 3 4 4 3 4 3 4 3 4 3 4 4 3 3 4 4 3 3 4 3 3 3 4 3 3 3 4 3 3 3 3 4 3 3 3 3 3 4 3 3 3 4 3> {(2, 316): 't3^-1*tau1', (2, 317): 'tau2*t1^-1*tau3^-1*t2', (2, 62): 't2', (2, 63): 't2', (2, 184): 't2^-1', (0, 319): 't3*tau1^-1', (2, 315): 't3^-1*tau1', (2, 52): 't3', (0, 176): 't2^-1', (2, 183): 't2^-1', (2, 304): 'tau1', (0, 55): 't2', (0, 308): 't3^-1*tau1', (2, 51): 't3', (2, 172): 't3', (2, 173): 't3', (0, 44): 't3', (2, 164): 't1', (2, 165): 't3', (2, 339): 't2*tau3^-1*t1^-1*tau2', (1, 103): 't2^-1', (2, 163): 't1', (1, 345): 'tau1*t3^-1', (1, 351): 't2^-1', (1, 81): 't3^-1', (1, 213): 't3^-1', (1, 340): 't2', (2, 141): 'tau3', (2, 142): 'tau3', (1, 202): 't2', (2, 265): 't2^-1', (1, 335): 't2', (1, 334): 'tau1^-1*t3', (2, 132): 't2', (2, 133): 't2', (2, 134): 't2', (0, 165): 't3', (2, 253): 't3^-1', (2, 120): 'tau2^-1', (2, 249): 'tau1', (2, 250): 'tau1', (0, 253): 'tau1^-1', (0, 242): 'tau1', (2, 119): 'tau2^-1', (2, 242): 't3', (2, 305): 'tau1', (2, 110): 't3', (1, 301): 'tau1', (2, 229): 'tau2', (2, 230): 'tau2', (1, 290): 'tau1^-1', (2, 97): 'tau3', (2, 98): 'tau3', (2, 348): 'tau1*t3^-1', (2, 349): 'tau1*t3^-1', (2, 340): 't2*tau3^-1*t1^-1*tau2', (2, 318): 'tau2*t1^-1*tau3^-1*t2', (1, 137): 't2', (2, 266): 't2^-1', (2, 196): 't1', (2, 197): 't1', (2, 198): 't2'}