U-tiling: UQC4011
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1126 |
*2224 |
(3,5,2) |
{8,4,3} |
{5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4} |
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
|
True
|
|
sqc2242
|
|
P4/mmm |
123 |
tetragonal |
{6,3,4} |
9 |
(3,5) |
|
G
|
False
|
|
sqc12584
|
|
I41/acd |
142 |
tetragonal |
{8,4,3} |
36 |
(3,6) |
|
D
|
False
|
|
sqc8401
|
|
P42/nnm |
134 |
tetragonal |
{4,3,8} |
18 |
(3,5) |
Topological data
| Vertex degrees | {8,4,3} |
| 2D vertex symbol | {5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<88.1:288:19 3 5 7 17 18 28 12 14 16 21 23 25 35 36 30 32 34 55 39 41 43 71 72 73 48 50 52 89 90 57 59 61 98 99 91 66 68 70 75 77 79 116 117 109 84 86 88 93 95 97 127 102 104 106 125 126 111 113 115 154 120 122 124 129 131 133 161 162 181 138 140 142 179 180 190 147 149 151 170 171 156 158 160 217 165 167 169 226 174 176 178 183 185 187 233 234 192 194 196 224 225 253 201 203 205 242 243 262 210 212 214 251 252 219 221 223 228 230 232 271 237 239 241 280 246 248 250 255 257 259 278 279 264 266 268 287 288 273 275 277 282 284 286,2 4 23 8 9 11 13 32 17 18 20 22 26 27 29 31 35 36 38 40 59 44 45 47 49 77 53 54 56 58 62 63 65 67 95 71 72 74 76 80 81 83 85 113 89 90 92 94 98 99 101 103 131 107 108 110 112 116 117 119 121 158 125 126 128 130 134 135 137 139 185 143 144 146 148 194 152 153 155 157 161 162 164 166 221 170 171 173 175 230 179 180 182 184 188 189 191 193 197 198 200 202 257 206 207 209 211 266 215 216 218 220 224 225 227 229 233 234 236 238 275 242 243 245 247 284 251 252 254 256 260 261 263 265 269 270 272 274 278 279 281 283 287 288,37 101 102 6 7 107 27 46 119 120 15 16 125 36 55 128 129 24 25 134 73 155 156 33 34 161 137 138 42 43 143 63 164 165 51 52 170 81 182 183 60 61 188 208 173 174 69 70 179 99 218 219 78 79 224 244 146 147 87 88 152 117 262 227 228 96 97 233 145 105 106 135 280 191 192 114 115 197 172 123 124 162 190 132 133 199 141 142 189 150 151 198 226 159 160 235 168 169 225 177 178 234 253 186 187 195 196 245 246 204 205 251 261 236 237 213 214 242 270 271 222 223 231 232 240 241 279 249 250 288 281 282 258 259 287 272 273 267 268 278 276 277 285 286:5 4 5 4 5 4 5 4 4 5 4 5 5 4 5 4 5 4 5 4 5 5 4 4 5 4 5 4 5 5 4 4,8 4 3 8 4 3 8 4 8 4 4 3 4 3 4 4 3 4 4 3 4 3 4 3 3 3 3 3 4 3 4 3 3 3 4 4> {(2, 188): 't3^-1', (2, 190): 'tau3^-1', (2, 191): 'tau3^-1', (0, 63): 't3^-1', (2, 187): 'tau2', (0, 178): 't3^-1', (2, 181): 'tau2', (2, 182): 'tau2', (2, 272): 't2*tau3^-1*t1^-1*tau2', (0, 52): 't2', (0, 53): 't2', (0, 170): 't2', (0, 43): 't3', (0, 169): 't2', (0, 44): 't3', (0, 162): 't2', (0, 251): 'tau1', (0, 277): 'tau1^-1*t3', (2, 160): 't1', (2, 271): 't2*tau3^-1*t1^-1*tau2', (2, 29): 't1^-1', (2, 286): 't2^-1*tau3*t1*tau2^-1', (0, 286): 'tau1*t3^-1', (0, 287): 'tau1*t3^-1', (2, 154): 't1', (1, 94): 't3', (2, 277): 't2*tau3^-1*t1^-1*tau2', (1, 184): 't3^-1', (1, 85): 't2^-1', (2, 19): 't1^-1', (2, 116): 't2', (1, 202): 't3', (2, 98): 't3', (0, 179): 't3^-1', (2, 133): 't1', (1, 166): 't2', (2, 128): 't1', (0, 250): 'tau1', (2, 253): 'tau2*t1^-1*tau3^-1*t2', (2, 254): 'tau2*t1^-1*tau3^-1*t2', (0, 252): 't3^-1', (0, 242): 'tau1^-1', (0, 241): 'tau1^-1', (0, 278): 'tau1^-1*t3', (2, 108): 't2', (2, 232): 'tau2', (0, 180): 't3^-1', (0, 108): 't2', (2, 224): 't2^-1', (2, 226): 'tau2', (2, 227): 'tau2', (2, 223): 'tau3^-1', (2, 216): 't2^-1', (2, 217): 'tau3^-1', (2, 218): 'tau3^-1', (2, 215): 't3^-1', (2, 206): 't3', (0, 207): 't3^-1', (2, 196): 'tau3^-1', (1, 211): 't3^-1'}