U-tiling: UQC5007
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc1833.jpg) |
hqc1833 |
*2224 |
(4,5,2) |
{4,3,4,4} |
{12.4.4.12}{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
|
|
sqc10635
|
|
I4/mmm |
139 |
tetragonal |
{4,4,3,4} |
24 |
(4,5) |
G
|
False
|
|
sqc13272
|
|
I41/acd |
142 |
tetragonal |
{4,3,4,4} |
48 |
(4,6) |
D
|
False
|
|
sqc10636
|
|
P42/nnm |
134 |
tetragonal |
{4,3,4,4} |
24 |
(4,5) |
Topological data
Vertex degrees | {4,3,4,4} |
2D vertex symbol | {12.4.4.12}{12.4.4}{4.4.4.4}{4.4.4.4} |
Dual tiling | ![Tiling details](/u_net_small_images/s2224_FSG_32_1_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.1:352:122 3 5 7 9 11 144 14 16 18 20 22 155 25 27 29 31 33 188 36 38 40 42 44 166 47 49 51 53 55 199 58 60 62 64 66 221 69 71 73 75 77 210 80 82 84 86 88 265 91 93 95 97 99 177 102 104 106 108 110 276 113 115 117 119 121 124 126 128 130 132 232 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176 179 181 183 185 187 190 192 194 196 198 201 203 205 207 209 212 214 216 218 220 223 225 227 229 231 234 236 238 240 242 298 245 247 249 251 253 287 256 258 260 262 264 267 269 271 273 275 278 280 282 284 286 289 291 293 295 297 300 302 304 306 308 342 311 313 315 317 319 331 322 324 326 328 330 333 335 337 339 341 344 346 348 350 352,2 47 6 11 8 10 13 58 17 22 19 21 24 69 28 33 30 32 35 91 39 44 41 43 46 50 55 52 54 57 61 66 63 65 68 72 77 74 76 79 256 83 88 85 87 90 94 99 96 98 101 300 105 110 107 109 112 322 116 121 118 120 123 179 127 132 129 131 134 344 138 143 140 142 145 212 149 154 151 153 156 234 160 165 162 164 167 245 171 176 173 175 178 182 187 184 186 189 278 193 198 195 197 200 289 204 209 206 208 211 215 220 217 219 222 311 226 231 228 230 233 237 242 239 241 244 248 253 250 252 255 259 264 261 263 266 333 270 275 272 274 277 281 286 283 285 288 292 297 294 296 299 303 308 305 307 310 314 319 316 318 321 325 330 327 329 332 336 341 338 340 343 347 352 349 351,12 4 5 17 18 30 31 54 55 15 16 41 42 65 66 34 26 27 39 40 76 77 37 38 98 99 78 48 49 83 84 74 75 100 59 60 105 106 96 97 111 70 71 116 117 81 82 118 119 263 264 133 92 93 138 139 103 104 140 141 307 308 114 115 329 330 144 125 126 149 150 162 163 186 187 136 137 351 352 147 148 195 196 219 220 188 158 159 193 194 241 242 210 169 170 215 216 228 229 252 253 199 180 181 204 205 239 240 191 192 285 286 202 203 272 273 296 297 213 214 283 284 276 224 225 281 282 318 319 265 235 236 270 271 287 246 247 292 293 316 317 298 257 258 303 304 327 328 268 269 340 341 279 280 290 291 338 339 301 302 349 350 331 312 313 336 337 342 323 324 347 348 334 335 345 346:12 4 12 4 12 4 12 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 3 4 4 3 4 4 3 3 4 4 4 4 4 3 4 4 3 4 3 4 3 4 4 3 3 4 4 3 4 3 4 4 4 4 3 3 4 4 3 4 4 4 4 4 3 4 4> {(2, 60): 't2', (2, 61): 't2', (2, 319): 't3*tau1^-1', (0, 319): 'tau2^-1*t1*tau3*t2^-1', (2, 314): 't3^-1*tau1', (2, 308): 't3^-1*tau1', (2, 181): 't2^-1', (2, 182): 't2^-1', (2, 55): 't2', (2, 176): 't2^-1', (2, 49): 't3', (2, 50): 't3', (2, 172): 't3', (2, 173): 't3', (2, 302): 'tau1', (2, 303): 'tau1', (2, 170): 't3', (2, 171): 't3', (2, 165): 't3', (0, 33): 't1^-1', (2, 313): 't3^-1*tau1', (0, 22): 't1^-1', (2, 273): 't2^-1', (2, 274): 't2^-1', (2, 140): 't2', (2, 141): 't2', (2, 142): 't2', (1, 332): 't2', (2, 139): 't2', (2, 260): 't3^-1', (2, 261): 't3^-1', (0, 132): 'tau3', (2, 253): 'tau1^-1', (2, 248): 'tau1', (2, 249): 't3', (2, 250): 't3', (2, 117): 't3', (2, 118): 't3', (2, 247): 'tau1', (2, 242): 'tau1', (0, 110): 'tau2^-1', (0, 308): 'tau2*t1^-1*tau3^-1*t2', (2, 44): 't3', (0, 88): 'tau3', (2, 346): 'tau1*t3^-1', (2, 347): 'tau1*t3^-1', (2, 205): 't2', (2, 206): 't2', (0, 66): 'tau2^-1', (1, 134): 't2'}