U-tiling: UQC4168
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc125 |
*248 |
(2,3,2) |
{4,4} |
{16.3.3.16}{3.3.3.3} |
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
|
|
sqc9811
|
|
I4/mmm |
139 |
tetragonal |
{4,4,4} |
20 |
(3,5) |
|
G
|
False
|
|
sqc12991
|
|
I41/acd |
142 |
tetragonal |
{4,4,4} |
40 |
(3,6) |
|
D
|
False
|
|
sqc3835
|
|
P42/mmc |
131 |
tetragonal |
{4,4,4} |
10 |
(3,5) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {16.3.3.16}{16.16.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:320:111 3 5 7 9 50 131 13 15 17 19 60 141 23 25 27 29 70 171 33 35 37 39 90 151 43 45 47 49 181 53 55 57 59 201 63 65 67 69 191 73 75 77 79 240 241 83 85 87 89 161 93 95 97 99 280 251 103 105 107 109 300 113 115 117 119 170 211 123 125 127 129 320 133 135 137 139 200 143 145 147 149 220 153 155 157 159 230 163 165 167 169 173 175 177 179 260 183 185 187 189 270 193 195 197 199 203 205 207 209 290 213 215 217 219 271 223 225 227 229 261 233 235 237 239 243 245 247 249 310 253 255 257 259 263 265 267 269 273 275 277 279 311 283 285 287 289 301 293 295 297 299 303 305 307 309 313 315 317 319,2 10 6 9 8 12 20 16 19 18 22 30 26 29 28 32 40 36 39 38 42 50 46 49 48 52 60 56 59 58 62 70 66 69 68 72 80 76 79 78 82 90 86 89 88 92 100 96 99 98 102 110 106 109 108 112 120 116 119 118 122 130 126 129 128 132 140 136 139 138 142 150 146 149 148 152 160 156 159 158 162 170 166 169 168 172 180 176 179 178 182 190 186 189 188 192 200 196 199 198 202 210 206 209 208 212 220 216 219 218 222 230 226 229 228 232 240 236 239 238 242 250 246 249 248 252 260 256 259 258 262 270 266 269 268 272 280 276 279 278 282 290 286 289 288 292 300 296 299 298 302 310 306 309 308 312 320 316 319 318,11 4 5 16 17 28 29 30 14 15 38 39 40 31 24 25 36 37 34 35 71 44 45 76 77 68 69 70 91 54 55 96 97 88 89 90 101 64 65 106 107 74 75 108 109 110 121 84 85 126 127 94 95 128 129 130 104 105 131 114 115 136 137 148 149 150 124 125 134 135 178 179 180 171 144 145 176 177 191 154 155 196 197 208 209 210 181 164 165 186 187 218 219 220 174 175 184 185 248 249 250 194 195 258 259 260 251 204 205 256 257 241 214 215 246 247 261 224 225 266 267 288 289 290 271 234 235 276 277 298 299 300 244 245 254 255 264 265 308 309 310 274 275 318 319 320 301 284 285 306 307 311 294 295 316 317 304 305 314 315:16 3 16 3 16 3 16 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,4 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 4 4 4 4 4 4 4 4 4 4> {(2, 188): 't2', (2, 189): 't2', (2, 190): 't3^-1', (2, 56): 't2', (2, 185): 't2', (0, 60): 'tau2^-1', (2, 187): 't2', (2, 180): 't2', (2, 310): 'tau1*t3^-1', (2, 55): 't2', (0, 310): 't2^-1*tau3*t1*tau2^-1', (2, 305): 'tau1^-1*t3', (2, 50): 't2', (2, 300): 'tau1^-1*t3', (2, 45): 't3', (2, 46): 't3', (0, 249): 't2^-1', (2, 40): 't3', (0, 300): 't2*tau3^-1*t1^-1*tau2', (2, 166): 't2^-1', (2, 156): 't3', (2, 157): 't3', (2, 158): 't3', (2, 159): 't3', (0, 30): 't1^-1', (2, 155): 't3', (2, 315): 'tau1*t3^-1', (0, 20): 't1^-1', (2, 226): 'tau1', (0, 129): 't2', (2, 128): 't2', (2, 129): 't2', (0, 120): 'tau3', (2, 127): 't2', (2, 107): 't3', (2, 236): 'tau1^-1', (2, 237): 't3^-1', (2, 238): 't3^-1', (2, 239): 't3^-1', (2, 306): 'tau1^-1*t3', (2, 235): 'tau1^-1', (2, 228): 't3', (2, 229): 't3', (2, 230): 'tau1^-1', (2, 225): 'tau1', (0, 100): 'tau2^-1', (2, 227): 't3', (2, 220): 'tau1', (2, 108): 't3', (2, 109): 't3', (0, 80): 'tau3', (2, 316): 'tau1*t3^-1'}