U-tiling: UQC4575
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/hqc1488.jpg) |
hqc1488 |
*2224 |
(4,5,2) |
{4,3,3,8} |
{5.5.5.5}{5.5.5}{5.5.5}{5.5.5.5.... |
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
|
True
|
|
sqc3068
|
|
P4/mmm |
123 |
tetragonal |
{4,3,3,6} |
11 |
(4,5) |
G
|
False
|
|
sqc12945
|
|
I41/acd |
142 |
tetragonal |
{4,3,3,8} |
44 |
(4,6) |
D
|
False
|
|
sqc9359
|
|
P42/nnm |
134 |
tetragonal |
{3,4,3,8} |
22 |
(4,5) |
Topological data
Vertex degrees | {4,3,3,8} |
2D vertex symbol | {5.5.5.5}{5.5.5}{5.5.5}{5.5.5.5.5.5.5.5} |
Dual tiling | ![Tiling details](/u_net_small_images/s2224_FSGG_109_1_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<109.1:320:111 3 5 7 9 30 131 13 15 17 19 40 141 23 25 27 29 171 33 35 37 39 151 43 45 47 49 70 181 53 55 57 59 90 201 63 65 67 69 191 73 75 77 79 110 241 83 85 87 89 161 93 95 97 99 130 251 103 105 107 109 113 115 117 119 150 211 123 125 127 129 133 135 137 139 180 143 145 147 149 153 155 157 159 210 163 165 167 169 220 173 175 177 179 183 185 187 189 250 193 195 197 199 260 203 205 207 209 213 215 217 219 271 223 225 227 229 290 261 233 235 237 239 300 243 245 247 249 253 255 257 259 263 265 267 269 310 273 275 277 279 320 311 283 285 287 289 301 293 295 297 299 303 305 307 309 313 315 317 319,2 4 115 26 8 10 12 14 135 36 18 20 22 24 145 28 30 32 34 175 38 40 42 44 155 66 48 50 52 54 185 86 58 60 62 64 205 68 70 72 74 195 106 78 80 82 84 245 88 90 92 94 165 126 98 100 102 104 255 108 110 112 114 146 118 120 122 124 215 128 130 132 134 176 138 140 142 144 148 150 152 154 206 158 160 162 164 216 168 170 172 174 178 180 182 184 246 188 190 192 194 256 198 200 202 204 208 210 212 214 218 220 222 224 275 286 228 230 232 234 265 296 238 240 242 244 248 250 252 254 258 260 262 264 306 268 270 272 274 316 278 280 282 284 315 288 290 292 294 305 298 300 302 304 308 310 312 314 318 320,11 22 23 6 7 118 119 50 32 33 16 17 138 139 60 31 26 27 148 149 70 36 37 178 179 90 71 62 63 46 47 158 159 91 82 83 56 57 188 189 101 66 67 208 209 102 103 76 77 198 199 240 121 86 87 248 249 122 123 96 97 168 169 280 106 107 258 259 300 131 142 143 116 117 170 126 127 218 219 320 172 173 136 137 200 171 146 147 220 191 202 203 156 157 230 181 212 213 166 167 176 177 260 242 243 186 187 270 252 253 196 197 251 206 207 290 241 216 217 261 282 283 226 227 278 279 271 292 293 236 237 268 269 246 247 310 256 257 302 303 266 267 312 313 276 277 301 286 287 318 319 311 296 297 308 309 306 307 316 317:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,4 3 3 8 3 3 8 3 8 3 8 4 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 4 3 3 3 4 3 3 4 3 3 3 3 3 3> {(2, 300): 'tau1^-1*t3', (2, 317): 't2^-1*tau3*t1*tau2^-1', (2, 190): 't3^-1', (1, 125): 't2', (1, 124): 'tau3', (0, 60): 'tau2^-1', (0, 189): 't2', (2, 180): 't2', (2, 181): 't2', (2, 182): 't2', (2, 107): 'tau2^-1', (1, 245): 't2^-1', (2, 177): 't1', (2, 178): 't1', (2, 307): 't2*tau3^-1*t1^-1*tau2', (1, 105): 't3', (1, 104): 'tau2^-1', (1, 235): 't3^-1', (2, 40): 't3', (0, 300): 't2*tau3^-1*t1^-1*tau2', (1, 225): 't3', (2, 102): 't3', (2, 121): 't2', (2, 231): 't3^-1', (0, 30): 't1^-1', (0, 159): 't3', (2, 148): 't1', (2, 151): 't3', (1, 84): 'tau3', (0, 20): 't1^-1', (2, 147): 't1', (2, 308): 't2*tau3^-1*t1^-1*tau2', (1, 205): 't3^-1', (1, 304): 't2*tau3^-1*t1^-1*tau2', (1, 64): 'tau2^-1', (2, 128): 'tau3', (2, 129): 't2', (0, 120): 'tau3', (1, 314): 't2^-1*tau3*t1*tau2^-1', (2, 248): 'tau3^-1', (2, 249): 't2^-1', (2, 122): 't2', (2, 221): 't3', (0, 310): 't2^-1*tau3*t1*tau2^-1', (2, 247): 'tau3^-1', (2, 310): 'tau1*t3^-1', (2, 108): 'tau2^-1', (2, 232): 't3^-1', (2, 50): 't2', (0, 109): 't3', (0, 99): 't2^-1', (2, 230): 'tau1^-1', (1, 34): 't1^-1', (0, 100): 'tau2^-1', (0, 229): 't3', (2, 220): 'tau1', (1, 24): 't1^-1', (2, 222): 't3', (2, 217): 'tau3^-1', (0, 80): 'tau3', (2, 208): 'tau2', (2, 318): 't2^-1*tau3*t1*tau2^-1', (2, 207): 'tau2', (2, 202): 't3^-1', (2, 71): 't3^-1', (0, 239): 't3^-1'}