U-tiling: UQC4717
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1575 |
*2224 |
(4,4,2) |
{4,8,6,4} |
{4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3... |
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
|
|
sqc9722
|
|
I4/mmm |
139 |
tetragonal |
{4,8,6,4} |
14 |
(4,4) |
|
G
|
False
|
|
sqc12970
|
|
I41/acd |
142 |
tetragonal |
{4,8,6,4} |
28 |
(4,5) |
|
D
|
False
|
|
sqc9729
|
|
P42/nnm |
134 |
tetragonal |
{4,8,6,4} |
14 |
(4,4) |
Topological data
| Vertex degrees | {4,8,6,4} |
| 2D vertex symbol | {4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3.4.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.2:320:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224 226 228 230 232 234 236 238 240 242 244 246 248 250 252 254 256 258 260 262 264 266 268 270 272 274 276 278 280 282 284 286 288 290 292 294 296 298 300 302 304 306 308 310 312 314 316 318 320,41 3 44 7 10 9 51 13 54 17 20 19 61 23 64 27 30 29 81 33 84 37 40 39 43 47 50 49 53 57 60 59 63 67 70 69 231 73 234 77 80 79 83 87 90 89 271 93 274 97 100 99 291 103 294 107 110 109 161 113 164 117 120 119 311 123 314 127 130 129 191 133 194 137 140 139 211 143 214 147 150 149 221 153 224 157 160 159 163 167 170 169 251 173 254 177 180 179 261 183 264 187 190 189 193 197 200 199 281 203 284 207 210 209 213 217 220 219 223 227 230 229 233 237 240 239 301 243 304 247 250 249 253 257 260 259 263 267 270 269 273 277 280 279 283 287 290 289 293 297 300 299 303 307 310 309 313 317 320 319,111 112 5 6 17 18 29 30 131 132 15 16 39 40 141 142 25 26 37 38 171 172 35 36 151 152 45 46 77 78 69 70 181 182 55 56 97 98 89 90 201 202 65 66 107 108 191 192 75 76 109 110 241 242 85 86 127 128 161 162 95 96 129 130 251 252 105 106 115 116 137 138 149 150 211 212 125 126 135 136 179 180 145 146 177 178 155 156 197 198 209 210 165 166 187 188 219 220 175 176 185 186 249 250 195 196 259 260 205 206 257 258 215 216 247 248 271 272 225 226 267 268 289 290 261 262 235 236 277 278 299 300 245 246 255 256 265 266 309 310 275 276 319 320 311 312 285 286 307 308 301 302 295 296 317 318 305 306 315 316:4 3 4 3 4 3 4 3 3 3 3 4 3 3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 3 4 3 4 3 3 4 3 3 3 3 4 3 3 3 3 3 3 3 3,4 8 6 4 4 6 4 8 4 8 4 8 4 8 6 8 6 6 4 6 6 4 4 6 8 4 4 8> {(2, 188): 't2', (1, 120): 't2', (1, 123): 't2', (2, 56): 't2', (2, 57): 't2', (2, 186): 't2', (2, 187): 't2', (1, 240): 't2^-1', (1, 243): 't2^-1', (2, 311): 't2^-1*tau3*t1*tau2^-1', (2, 306): 'tau1^-1*t3', (2, 307): 'tau1^-1*t3', (2, 300): 't2*tau3^-1*t1^-1*tau2', (2, 301): 't2*tau3^-1*t1^-1*tau2', (2, 46): 't3', (2, 47): 't3', (2, 170): 't1', (2, 171): 't1', (2, 156): 't3', (2, 157): 't3', (2, 158): 't3', (2, 159): 't3', (2, 140): 't1', (2, 141): 't1', (2, 128): 't2', (2, 129): 't2', (2, 317): 'tau1*t3^-1', (2, 316): 'tau1*t3^-1', (2, 249): 't2^-1', (2, 250): 'tau2', (2, 251): 'tau2', (2, 240): 'tau3^-1', (2, 241): 'tau3^-1', (2, 310): 't2^-1*tau3*t1*tau2^-1', (2, 236): 'tau1^-1', (2, 237): 'tau1^-1', (2, 238): 't3^-1', (2, 239): 't3^-1', (2, 228): 't3', (2, 229): 't3', (2, 226): 'tau1', (2, 227): 'tau1', (2, 108): 't3', (2, 109): 't3', (2, 210): 'tau3^-1', (2, 211): 'tau3^-1', (2, 200): 'tau2', (2, 201): 'tau2'}