U-tiling: UQC3291
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc306 |
*2223 |
(3,2,2) |
{4,6,3} |
{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
|
|
sqc12757
|
epq
|
Pm-3m |
221 |
cubic |
{4,6,3} |
32 |
(3,2) |
|
G
|
False
|
|
sqc12756
|
|
I4132 |
214 |
cubic |
{4,6,3} |
32 |
(3,3) |
|
D
|
False
|
|
sqc9057
|
epd
|
P4232 |
208 |
cubic |
{4,6,3} |
16 |
(3,2) |
Topological data
| Vertex degrees | {4,6,3} |
| 2D vertex symbol | {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
<31.1:288:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224 226 228 230 232 234 236 238 240 242 244 246 248 250 252 254 256 258 260 262 264 266 268 270 272 274 276 278 280 282 284 286 288,13 32 9 5 12 19 44 11 56 21 17 24 92 23 73 62 69 29 72 55 81 35 84 109 98 105 41 108 91 117 47 120 133 122 129 53 132 141 59 144 151 147 65 150 157 128 71 152 159 77 162 139 260 83 175 164 171 89 174 183 95 186 193 189 101 192 199 170 107 194 201 113 204 181 272 119 211 207 125 210 217 131 212 219 137 222 278 143 223 206 149 225 155 228 218 161 235 231 167 234 241 173 236 243 179 246 284 185 247 230 191 249 197 252 242 203 253 209 255 215 258 221 254 227 265 233 267 239 270 245 266 251 257 277 273 263 276 269 283 275 285 281 288 287,3 4 29 30 9 10 41 42 15 16 53 54 21 22 89 90 27 28 33 34 65 66 39 40 45 46 101 102 51 52 57 58 125 126 63 64 69 70 107 108 75 76 119 120 81 82 113 114 87 88 93 94 167 168 99 100 105 106 111 112 117 118 123 124 129 130 173 174 135 136 185 186 141 142 179 180 147 148 203 204 153 154 275 276 159 160 191 192 165 166 171 172 177 178 183 184 189 190 195 196 263 264 201 202 207 208 245 246 213 214 287 288 219 220 233 234 225 226 251 252 231 232 237 238 281 282 243 244 249 250 255 256 269 270 261 262 267 268 273 274 279 280 285 286:4 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 6 3 6 6 3 6 4 4 3 4 4 3 4 3 4 6 6 6 4 3 4 4 6 6 6 3 6 4 3 6 4> {(2, 190): 't2', (1, 122): 'tau2^-1', (1, 125): 'tau2^-1', (2, 185): 'tau3', (1, 254): 'tau2', (1, 114): 't2^-1', (1, 116): 't2^-1', (2, 178): 'tau2', (2, 179): 'tau2', (1, 233): 'tau3^-1', (2, 191): 't2', (1, 236): 't1*tau3*t2^-1', (1, 239): 't1*tau3*t2^-1', (2, 184): 'tau3', (1, 229): 't2^-1', (1, 228): 't2^-1', (1, 230): 'tau3^-1', (1, 222): 't3', (2, 22): 't1^-1', (2, 23): 't1^-1', (1, 85): 't1', (2, 112): 't3^-1', (1, 215): 'tau2^-1', (2, 268): 'tau1^-1*t3', (2, 269): 'tau1^-1*t3', (1, 79): 't3', (1, 65): 't3', (2, 250): 'tau1^-1', (1, 62): 't3', (1, 48): 't1^-1', (1, 50): 't1^-1', (1, 53): 't1^-1', (2, 113): 't3^-1', (2, 238): 'tau2', (2, 239): 'tau2', (1, 119): 't2^-1', (2, 227): 'tau1', (1, 281): 't3*tau1^-1', (1, 284): 'tau1*t3^-1', (1, 272): 'tau1', (2, 214): 't1^-1*tau3^-1*t2', (2, 215): 't1^-1*tau3^-1*t2', (1, 253): 't3^-1', (1, 276): 't3', (1, 234): 't1', (1, 181): 't2', (1, 133): 't1', (1, 275): 'tau1'}