U-tiling: UQC4676
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1522 |
*2224 |
(4,4,2) |
{3,6,8,4} |
{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
|
|
sqc9747
|
|
I4/mmm |
139 |
tetragonal |
{3,6,4,8} |
18 |
(4,4) |
G
|
False
|
|
sqc12975
|
|
I41/acd |
142 |
tetragonal |
{3,6,8,4} |
36 |
(4,5) |
D
|
False
|
|
sqc9746
|
|
P42/nnm |
134 |
tetragonal |
{3,4,8,6} |
18 |
(4,4) |
Topological data
Vertex degrees | {3,6,8,4} |
2D vertex symbol | {4.4.4}{4.4.4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.2:320:2 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 22 5 10 7 9 51 32 15 20 17 19 61 25 30 27 29 81 35 40 37 39 62 45 50 47 49 82 55 60 57 59 65 70 67 69 231 102 75 80 77 79 85 90 87 89 271 122 95 100 97 99 291 105 110 107 109 161 142 115 120 117 119 311 125 130 127 129 191 172 135 140 137 139 211 145 150 147 149 221 202 155 160 157 159 212 165 170 167 169 251 175 180 177 179 261 242 185 190 187 189 252 195 200 197 199 281 205 210 207 209 215 220 217 219 282 225 230 227 229 292 235 240 237 239 301 245 250 247 249 255 260 257 259 302 265 270 267 269 312 275 280 277 279 285 290 287 289 295 300 297 299 305 310 307 309 315 320 317 319,3 4 45 46 117 118 19 20 13 14 55 56 137 138 23 24 65 66 147 148 39 40 33 34 85 86 177 178 43 44 157 158 79 80 53 54 187 188 99 100 63 64 207 208 109 110 73 74 235 236 197 198 83 84 247 248 129 130 93 94 275 276 167 168 103 104 295 296 257 258 113 114 165 166 139 140 123 124 315 316 217 218 133 134 195 196 143 144 215 216 179 180 153 154 225 226 199 200 163 164 189 190 173 174 255 256 183 184 265 266 193 194 203 204 285 286 259 260 213 214 249 250 223 224 277 278 269 270 233 234 267 268 279 280 243 244 305 306 253 254 263 264 273 274 283 284 317 318 309 310 293 294 307 308 319 320 303 304 313 314:4 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 6 8 4 3 8 3 8 4 3 8 6 4 6 4 4 3 4 3 3 3 6 3 3 3 3 6 6 3 3 3 6 4 6 3 4> {(2, 188): 't2', (1, 120): 't2', (2, 48): 't3', (2, 319): 'tau1*t3^-1', (2, 58): 't2', (2, 189): 't2', (1, 241): 't2^-1', (1, 240): 't2^-1', (2, 176): 't1', (2, 177): 't1', (2, 317): 't2^-1*tau3*t1*tau2^-1', (2, 307): 't2*tau3^-1*t1^-1*tau2', (1, 101): 't3', (1, 231): 't3^-1', (1, 91): 't2^-1', (2, 159): 't3', (1, 221): 't3', (2, 59): 't2', (2, 146): 't1', (2, 147): 't1', (1, 201): 't3^-1', (2, 308): 'tau1^-1*t3', (2, 309): 'tau1^-1*t3', (2, 124): 't2', (2, 125): 't2', (2, 316): 't2^-1*tau3*t1*tau2^-1', (2, 244): 't2^-1', (2, 245): 't2^-1', (2, 246): 'tau3^-1', (2, 247): 'tau3^-1', (2, 49): 't3', (2, 238): 'tau1^-1', (2, 239): 'tau1^-1', (2, 306): 't2*tau3^-1*t1^-1*tau2', (2, 106): 'tau2^-1', (2, 107): 'tau2^-1', (2, 228): 'tau1', (2, 229): 'tau1', (2, 318): 'tau1*t3^-1', (2, 216): 'tau3^-1', (2, 217): 'tau3^-1', (2, 206): 'tau2', (2, 207): 'tau2', (2, 198): 't3^-1'}