U-tiling: UQC4683
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1526 |
*2224 |
(4,4,2) |
{3,12,4,4} |
{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}... |
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
|
|
sqc9715
|
|
I4/mmm |
139 |
tetragonal |
{4,4,12,3} |
18 |
(4,4) |
G
|
False
|
|
sqc12965
|
|
I41/acd |
142 |
tetragonal |
{3,12,4,4} |
36 |
(4,5) |
D
|
False
|
|
sqc9645
|
|
P42/nnm |
134 |
tetragonal |
{3,4,4,12} |
18 |
(4,4) |
Topological data
Vertex degrees | {3,12,4,4} |
2D vertex symbol | {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}{4.4.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.2:320:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224 226 228 230 232 234 236 238 240 242 244 246 248 250 252 254 256 258 260 262 264 266 268 270 272 274 276 278 280 282 284 286 288 290 292 294 296 298 300 302 304 306 308 310 312 314 316 318 320,11 112 5 10 7 9 132 15 20 17 19 31 142 25 30 27 29 172 35 40 37 39 71 152 45 50 47 49 91 182 55 60 57 59 101 202 65 70 67 69 192 75 80 77 79 121 242 85 90 87 89 162 95 100 97 99 252 105 110 107 109 131 115 120 117 119 212 125 130 127 129 135 140 137 139 171 145 150 147 149 191 155 160 157 159 181 165 170 167 169 175 180 177 179 185 190 187 189 195 200 197 199 251 205 210 207 209 241 215 220 217 219 261 272 225 230 227 229 271 262 235 240 237 239 245 250 247 249 255 260 257 259 265 270 267 269 275 280 277 279 301 312 285 290 287 289 311 302 295 300 297 299 305 310 307 309 315 320 317 319,3 4 15 16 27 28 49 50 13 14 37 38 59 60 23 24 35 36 69 70 33 34 89 90 43 44 75 76 67 68 53 54 95 96 87 88 63 64 105 106 73 74 107 108 239 240 83 84 125 126 93 94 127 128 279 280 103 104 299 300 113 114 135 136 147 148 169 170 123 124 319 320 133 134 177 178 199 200 143 144 175 176 219 220 153 154 195 196 207 208 229 230 163 164 185 186 217 218 173 174 259 260 183 184 247 248 269 270 193 194 257 258 203 204 255 256 289 290 213 214 245 246 223 224 265 266 287 288 233 234 275 276 297 298 243 244 309 310 253 254 263 264 307 308 273 274 317 318 283 284 305 306 293 294 315 316 303 304 313 314:4 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 4,3 12 4 4 12 4 3 12 12 3 4 3 4 3 4 3 4 3 4 4 4 3 3 4 4 3 4 4 3 3 3 4 3 4 3 3> {(1, 121): 'tau3', (2, 184): 't2', (2, 185): 't2', (2, 186): 't2', (2, 187): 't2', (2, 308): 't2', (2, 54): 't2', (2, 55): 't2', (2, 304): 'tau1^-1*t3', (2, 305): 'tau1^-1*t3', (2, 44): 't3', (2, 45): 't3', (1, 101): 'tau2^-1', (1, 230): 'tau1^-1', (2, 156): 't3', (2, 157): 't3', (1, 90): 't2^-1', (1, 220): 'tau1', (2, 154): 't3', (2, 155): 't3', (1, 81): 'tau3', (2, 315): 'tau1*t3^-1', (2, 106): 't3', (2, 314): 'tau1*t3^-1', (2, 128): 't2', (2, 129): 't2', (1, 70): 't3^-1', (2, 126): 't2', (2, 127): 't2', (1, 61): 'tau2^-1', (2, 249): 't2^-1', (1, 190): 't3^-1', (1, 180): 't2', (2, 107): 't3', (1, 310): 'tau1*t3^-1', (2, 236): 't3^-1', (2, 237): 't3^-1', (1, 301): 't2*tau3^-1*t1^-1*tau2', (1, 311): 't2^-1*tau3*t1*tau2^-1', (2, 234): 'tau1^-1', (2, 235): 'tau1^-1', (2, 224): 'tau1', (2, 225): 'tau1', (2, 226): 't3', (2, 227): 't3', (1, 31): 't1^-1', (1, 21): 't1^-1', (1, 300): 'tau1^-1*t3'}