U-tiling: UQC5850
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc326 |
2*23 |
(3,3,1) |
{3,4,3} |
{6.6.6}{6.6.6.6}{6.6.6} |
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
|
|
sqc9240
|
|
I432 |
211 |
cubic |
{4,3,3} |
22 |
(3,3) |
|
G
|
False
|
|
sqc12869
|
|
I4132 |
214 |
cubic |
{3,4,3} |
44 |
(3,4) |
|
D
|
False
|
|
sqc12868
|
|
Fd-3m |
227 |
cubic |
{3,4,3} |
44 |
(3,3) |
Topological data
| Vertex degrees | {3,4,3,3,4,3} |
| 2D vertex symbol | {6.6.6}{6.6.6.6}{6.6.6}{6.6.6}{6.6.6.6}{6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<67.1:288:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224 226 228 230 232 234 236 238 240 242 244 246 248 250 252 254 256 258 260 262 264 266 268 270 272 274 276 278 280 282 284 286 288,37 3 5 42 31 9 11 36 61 15 17 66 79 21 23 84 145 27 29 150 33 35 39 41 163 45 47 168 217 51 53 222 103 57 59 108 63 65 199 69 71 204 253 75 77 258 81 83 121 87 89 126 139 93 95 144 169 99 101 174 105 107 193 111 113 198 259 117 119 264 123 125 247 129 131 252 229 135 137 234 141 143 147 149 271 153 155 276 265 159 161 270 165 167 171 173 211 177 179 216 241 183 185 246 235 189 191 240 195 197 201 203 277 207 209 282 213 215 219 221 283 225 227 288 231 233 237 239 243 245 249 251 255 257 261 263 267 269 273 275 279 281 285 287,85 86 27 28 7 8 45 46 23 24 181 182 75 76 19 20 69 70 133 134 31 32 153 154 59 60 169 170 159 160 43 44 71 72 241 242 99 100 55 56 225 226 217 218 195 196 67 68 229 230 79 80 261 262 107 108 135 136 91 92 129 130 119 120 121 122 103 104 177 178 265 266 255 256 115 116 201 202 243 244 127 128 203 204 139 140 237 238 215 216 253 254 267 268 151 152 227 228 205 206 163 164 273 274 251 252 207 208 175 176 263 264 231 232 187 188 249 250 275 276 277 278 199 200 211 212 285 286 279 280 223 224 235 236 287 288 247 248 259 260 271 272 283 284:6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6,3 4 3 3 4 3 3 4 3 3 3 3 4 4 3 3 4 3 3 4 3 3 4 3 3 4 3 3 3 4 3 3 3 3 4 3 3 3 4 3 3 3 3 3> {(2, 188): 't3', (1, 120): 't1', (2, 190): 'tau1', (2, 191): 'tau1', (1, 125): 't1', (2, 189): 't3', (1, 113): 'tau3^-1*t1^-1', (1, 240): 't3^-1', (1, 245): 't3^-1', (1, 233): 't2^-1', (2, 63): 'tau2^-1', (2, 168): 't1', (2, 169): 't1', (2, 170): 'tau3^-1', (2, 171): 'tau3^-1', (2, 164): 'tau2^-1*t3^-1*tau1', (2, 165): 'tau2^-1*t3^-1*tau1', (2, 166): 'tau2^-1', (2, 167): 'tau2^-1', (1, 227): 'tau1^-1', (2, 157): 't1^-1*tau3^-1', (1, 222): 'tau1^-1', (1, 209): 't2', (1, 210): 'tau3', (2, 144): 't2', (2, 145): 't2', (1, 215): 'tau3', (1, 228): 't2^-1', (2, 140): 't2', (2, 141): 't2', (1, 204): 't2', (1, 66): 'tau2^-1', (2, 128): 't1', (2, 129): 't1', (1, 71): 'tau2^-1', (2, 118): 'tau3^-1', (2, 119): 'tau3^-1', (2, 108): 't2^-1', (2, 109): 't2^-1', (1, 161): 'tau2^-1*t3^-1*tau1', (1, 156): 'tau2^-1*t3^-1*tau1', (2, 216): 't3^-1', (2, 217): 't3^-1', (2, 218): 'tau1^-1', (2, 219): 'tau1^-1', (2, 212): 't2', (2, 213): 't2', (2, 204): 'tau3*t1', (2, 200): 't1*tau3', (2, 201): 't1*tau3', (2, 192): 'tau2*t3*tau1^-1', (2, 193): 'tau2*t3*tau1^-1', (2, 194): 'tau2', (1, 108): 'tau3^-1*t1^-1'}