U-tiling: UQC5878
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2344 |
*2323 |
(6,6,2) |
{3,4,3,4,6,4} |
{4.4.4}{4.5.5.4}{4.5.5}{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
|
|
sqc13113
|
|
P4232 |
208 |
cubic |
{3,4,3,4,6,4} |
44 |
(6,6) |
G
|
False
|
|
sqc13111
|
|
I213 |
199 |
cubic |
{3,4,3,4,6,4} |
44 |
(6,7) |
D
|
False
|
|
sqc13112
|
|
F-43m |
216 |
cubic |
{3,4,3,4,6,4} |
44 |
(6,6) |
Topological data
Vertex degrees | {3,4,3,4,6,4} |
2D vertex symbol | {4.4.4}{4.5.5.4}{4.5.5}{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
<35.1:336:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224 226 228 230 232 234 236 238 240 242 244 246 248 250 252 254 256 258 260 262 264 266 268 270 272 274 276 278 280 282 284 286 288 290 292 294 296 298 300 302 304 306 308 310 312 314 316 318 320 322 324 326 328 330 332 334 336,43 3 46 7 14 9 11 13 71 17 74 21 28 23 25 27 169 31 172 35 42 37 39 41 45 49 56 51 53 55 253 59 256 63 70 65 67 69 73 77 84 79 81 83 295 87 298 91 98 93 95 97 141 101 144 105 112 107 109 111 197 115 200 119 126 121 123 125 225 129 228 133 140 135 137 139 143 147 154 149 151 153 267 157 270 161 168 163 165 167 171 175 182 177 179 181 309 185 312 189 196 191 193 195 199 203 210 205 207 209 281 213 284 217 224 219 221 223 227 231 238 233 235 237 323 241 326 245 252 247 249 251 255 259 266 261 263 265 269 273 280 275 277 279 283 287 294 289 291 293 297 301 308 303 305 307 311 315 322 317 319 321 325 329 336 331 333 335,99 100 5 6 105 106 37 38 25 26 55 56 211 212 19 20 217 218 93 94 83 84 155 156 33 34 161 162 67 68 181 182 197 198 47 48 203 204 191 192 81 82 281 282 61 62 287 288 121 122 265 266 253 254 75 76 259 260 233 234 267 268 89 90 273 274 123 124 307 308 103 104 163 164 137 138 153 154 141 142 117 118 147 148 209 210 309 310 131 132 315 316 303 304 237 238 145 146 289 290 235 236 159 160 249 250 279 280 295 296 173 174 301 302 317 318 263 264 239 240 187 188 245 246 291 292 321 322 201 202 247 248 305 306 215 216 275 276 319 320 293 294 323 324 229 230 329 330 243 244 335 336 257 258 331 332 271 272 333 334 285 286 299 300 313 314 327 328:4 5 4 5 4 5 5 4 5 5 4 5 4 5 4 5 4 5 5 4 5 5 4 5 5 4 5 5 4 5 5 5 5 5 5 5,3 4 3 4 6 4 3 4 3 4 3 4 3 4 4 4 6 4 3 4 4 4 4 3 4 3 6 4 4 3 3 4 3 4 3 4 4 6 4 3 4 3 4 3> {(2, 188): 't1^-1*tau3^-1', (2, 189): 't1^-1*tau3^-1', (1, 126): 'tau3^-1*t1^-1', (1, 241): 't2', (2, 182): 't1^-1*tau3^-1', (2, 183): 't1^-1*tau3^-1', (1, 185): 'tau2^-1*t3^-1*tau1', (2, 174): 't2', (2, 175): 't2', (2, 168): 't2', (2, 169): 't2', (2, 166): 't2', (1, 98): 't1^-1', (1, 101): 't1^-1', (1, 227): 't1*tau3', (2, 167): 't2', (2, 152): 't1', (2, 153): 't1', (1, 210): 't3', (1, 213): 't3', (2, 136): 'tau3^-1', (2, 137): 'tau3^-1', (2, 138): 'tau3^-1*t1^-1', (2, 139): 'tau3^-1*t1^-1', (2, 132): 't2^-1', (2, 133): 't2^-1', (1, 322): 't2^-1', (2, 252): 't3^-1', (2, 253): 't3^-1', (2, 126): 't2^-1', (2, 127): 't2^-1', (2, 250): 't2', (2, 251): 't2', (2, 246): 'tau3', (2, 247): 'tau3', (1, 182): 'tau2^-1*t3^-1*tau1', (2, 260): 'tau1^-1', (1, 154): 't2', (2, 232): 'tau2', (2, 233): 'tau2', (2, 261): 'tau1^-1', (2, 230): 'tau2*t3*tau1^-1', (2, 231): 'tau2*t3*tau1^-1', (2, 224): 'tau2*t3*tau1^-1', (2, 225): 'tau2*t3*tau1^-1', (2, 220): 'tau1', (2, 221): 'tau1', (2, 222): 't3', (2, 223): 't3', (1, 157): 't2', (2, 76): 't3', (2, 77): 't3', (2, 202): 't1', (2, 203): 't1', (2, 196): 't1', (2, 197): 't1', (2, 192): 'tau2^-1', (2, 193): 'tau2^-1', (2, 194): 'tau2^-1*t3^-1*tau1', (2, 195): 'tau2^-1*t3^-1*tau1'}