U-tiling: UQC449
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc217 |
*344 |
(2,3,3) |
{3,9} |
{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
|
|
sqc12590
|
|
Pm-3n |
223 |
cubic |
{3,9} |
32 |
(2,3) |
|
G
|
False
|
|
sqc12592
|
|
I-43d |
220 |
cubic |
{3,9} |
32 |
(2,3) |
|
D
|
False
|
|
sqc8842
|
|
P-43m |
215 |
cubic |
{3,9} |
16 |
(2,3) |
Topological data
| Vertex degrees | {3,9} |
| 2D vertex symbol | {4.4.4}{4.4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.1:288:3 8 10 11 12 9 15 26 28 29 30 21 38 40 41 42 27 33 56 58 59 60 39 45 68 70 71 72 51 80 82 83 84 57 63 98 100 101 102 69 75 122 124 125 126 81 87 140 142 143 144 93 152 154 155 156 99 105 146 148 149 150 111 176 178 179 180 117 188 190 191 192 123 129 182 184 185 186 135 206 208 209 210 141 147 153 159 224 226 227 228 165 230 232 233 234 171 236 238 239 240 177 183 189 195 242 244 245 246 201 248 250 251 252 207 213 260 262 263 264 219 266 268 269 270 225 231 237 243 249 255 278 280 281 282 261 267 273 284 286 287 288 279 285,2 4 35 18 8 10 53 24 14 16 77 20 22 113 26 28 119 48 32 34 66 38 40 173 72 44 46 161 50 52 90 56 58 107 96 62 64 131 68 70 215 74 76 132 80 82 149 138 86 88 185 92 94 203 98 100 197 162 104 106 168 110 112 186 116 118 198 122 124 167 204 128 130 134 136 251 140 142 245 216 146 148 222 152 154 257 228 158 160 164 166 170 172 246 176 178 221 252 182 184 188 190 233 258 194 196 200 202 206 208 281 264 212 214 218 220 224 226 275 230 232 276 236 238 269 282 242 244 248 250 254 256 260 262 287 266 268 288 272 274 278 280 284 286,13 6 15 5 19 12 21 11 18 17 24 23 43 30 45 29 61 36 63 35 67 42 69 41 48 47 85 54 87 53 91 60 93 59 66 65 72 71 127 78 129 77 133 84 135 83 90 89 96 95 157 102 159 101 163 108 165 107 181 114 183 113 193 120 195 119 199 126 201 125 132 131 138 137 211 144 213 143 217 150 219 149 223 156 225 155 162 161 168 167 241 174 243 173 247 180 249 179 186 185 253 192 255 191 198 197 204 203 259 210 261 209 216 215 222 221 228 227 271 234 273 233 277 240 279 239 246 245 252 251 258 257 264 263 283 270 285 269 276 275 282 281 288 287:4 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 9 3 9 3 9 3 3 9 3 3 9 3 3 9 3 3 3 3 3 3 3 3 9 3 3 3 3 9 3 3 3> {(1, 226): 'tau1^-1', (2, 278): 'tau1^-1*t3*tau2', (2, 186): 'tau1', (2, 276): 'tau1^-1*t3*tau2', (2, 206): 'tau3^-1*t1^-1', (1, 112): 't1', (1, 238): 't1^-1*tau3^-1', (1, 209): 'tau3^-1*t1^-1', (2, 114): 't3', (1, 178): 'tau3^-1', (1, 287): 't2^-1', (1, 83): 'tau3', (1, 286): 'tau1*t3^-1*tau2^-1', (2, 164): 't2^-1', (2, 162): 't2^-1', (2, 284): 't2^-1', (1, 245): 'tau2', (1, 214): 'tau2', (2, 282): 't2^-1', (1, 119): 't3', (1, 191): 'tau1', (1, 208): 't2^-1', (2, 116): 't3', (1, 89): 't1', (2, 50): 't1^-1', (1, 239): 'tau2^-1*t3^-1*tau1', (2, 134): 'tau3^-1', (2, 48): 't1^-1', (2, 170): 'tau2^-1', (2, 78): 'tau3', (2, 240): 'tau2', (1, 46): 't3', (1, 107): 't2', (1, 94): 't2', (2, 258): 't1*tau3', (2, 188): 'tau1', }