U-tiling: UQC4667
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/hqc1506.jpg) |
hqc1506 |
*2224 |
(4,5,2) |
{3,4,4,4} |
{4.6.4}{4.4.6.6}{6.6.6.6}{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
|
|
sqc9911
|
|
I4/mmm |
139 |
tetragonal |
{4,4,4,3} |
22 |
(4,5) |
G
|
False
|
|
sqc13013
|
|
I41/acd |
142 |
tetragonal |
{3,4,4,4} |
44 |
(4,6) |
D
|
False
|
|
sqc9891
|
|
P42/nnm |
134 |
tetragonal |
{3,4,4,4} |
22 |
(4,5) |
Topological data
Vertex degrees | {3,4,4,4} |
2D vertex symbol | {4.6.4}{4.4.6.6}{6.6.6.6}{6.6.6.6} |
Dual tiling | ![Tiling details](/u_net_small_images/s2224_FSGG_112_1_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<112.1:320:21 3 5 7 9 30 31 13 15 17 19 40 23 25 27 29 33 35 37 39 61 43 45 47 49 70 81 53 55 57 59 90 63 65 67 69 101 73 75 77 79 110 83 85 87 89 121 93 95 97 99 130 103 105 107 109 141 113 115 117 119 150 123 125 127 129 171 133 135 137 139 180 143 145 147 149 201 153 155 157 159 210 211 163 165 167 169 220 173 175 177 179 241 183 185 187 189 250 251 193 195 197 199 260 203 205 207 209 213 215 217 219 281 223 225 227 229 290 291 233 235 237 239 300 243 245 247 249 253 255 257 259 301 263 265 267 269 310 311 273 275 277 279 320 283 285 287 289 293 295 297 299 303 305 307 309 313 315 317 319,2 10 44 6 8 49 12 20 54 16 18 59 22 30 64 26 28 69 32 40 84 36 38 89 42 50 46 48 52 60 56 58 62 70 66 68 72 80 234 76 78 239 82 90 86 88 92 100 274 96 98 279 102 110 294 106 108 299 112 120 164 116 118 169 122 130 314 126 128 319 132 140 194 136 138 199 142 150 214 146 148 219 152 160 224 156 158 229 162 170 166 168 172 180 254 176 178 259 182 190 264 186 188 269 192 200 196 198 202 210 284 206 208 289 212 220 216 218 222 230 226 228 232 240 236 238 242 250 304 246 248 309 252 260 256 258 262 270 266 268 272 280 276 278 282 290 286 288 292 300 296 298 302 310 306 308 312 320 316 318,41 4 5 16 17 118 119 20 51 14 15 138 139 61 24 25 36 37 148 149 40 81 34 35 178 179 44 45 76 77 158 159 80 54 55 96 97 188 189 100 64 65 106 107 208 209 110 231 74 75 198 199 84 85 126 127 248 249 130 271 94 95 168 169 291 104 105 258 259 161 114 115 136 137 140 311 124 125 218 219 191 134 135 211 144 145 176 177 180 221 154 155 196 197 200 164 165 186 187 190 251 174 175 261 184 185 194 195 281 204 205 256 257 260 214 215 246 247 250 224 225 266 267 278 279 270 234 235 276 277 268 269 280 301 244 245 254 255 264 265 274 275 284 285 306 307 318 319 310 294 295 316 317 308 309 320 304 305 314 315:4 6 4 6 6 6 4 4 4 6 4 6 6 4 6 6 4 6 6 4 6 4 6 4 6 4 6 4 4 6 4 4,3 4 4 4 3 4 3 4 4 4 3 4 4 4 4 4 4 4 3 4 4 3 3 3 4 3 3 3 4 3 4 4 3 3 3 4 4 4 4 4 3 4 4 4> {(2, 316): 'tau1*t3^-1', (2, 189): 't2', (1, 123): 't2', (2, 319): 'tau1*t3^-1', (2, 56): 't2', (2, 185): 't2', (2, 186): 't2', (1, 248): 't2^-1', (2, 308): 't2*tau3^-1*t1^-1*tau2', (2, 309): 'tau1^-1*t3', (1, 243): 't2^-1', (0, 109): 't3', (2, 177): 't1', (2, 178): 't1', (2, 307): 't2*tau3^-1*t1^-1*tau2', (2, 45): 't3', (2, 46): 't3', (0, 249): 't2^-1', (2, 229): 'tau1', (0, 290): 't3', (2, 120): 't2', (0, 289): 't3^-1', (2, 156): 't3', (2, 159): 't3', (0, 159): 't3', (2, 155): 't3', (2, 148): 't1', (2, 59): 't2', (0, 150): 't3', (2, 147): 't1', (2, 226): 'tau1', (2, 305): 'tau1^-1*t3', (2, 128): 'tau3', (2, 317): 't2^-1*tau3*t1*tau2^-1', (0, 120): 't2', (2, 55): 't2', (2, 248): 'tau3^-1', (2, 306): 'tau1^-1*t3', (2, 247): 'tau3^-1', (2, 240): 't2^-1', (2, 107): 'tau2^-1', (2, 49): 't3', (2, 236): 'tau1^-1', (2, 239): 'tau1^-1', (0, 180): 't2', (2, 235): 'tau1^-1', (0, 99): 't2^-1', (2, 225): 'tau1', (0, 100): 't3', (2, 108): 'tau2^-1', (2, 217): 'tau3^-1', (0, 220): 't3', (2, 208): 'tau2', (2, 318): 't2^-1*tau3*t1*tau2^-1', (2, 207): 'tau2', (2, 315): 'tau1*t3^-1', (1, 128): 't2', (0, 239): 't3^-1'}