U-tiling: UQC4261
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1094 |
*2224 |
(4,5,2) |
{4,4,4,4} |
{6.6.6.6}{6.6.6.6}{6.3.3.6}{3.3.... |
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
|
|
sqc9182
|
|
I4/mmm |
139 |
tetragonal |
{4,4,4,4} |
18 |
(4,5) |
|
G
|
False
|
|
sqc12805
|
|
I41/acd |
142 |
tetragonal |
{4,4,4,4} |
36 |
(4,5) |
|
D
|
False
|
|
sqc9124
|
|
P42/nnm |
134 |
tetragonal |
{4,4,4,4} |
18 |
(4,5) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6}{6.3.3.6}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<84.2:288:37 3 5 42 43 9 46 12 14 51 52 18 55 21 23 60 61 27 73 30 32 78 79 36 39 41 45 48 50 54 57 59 63 208 66 68 213 214 72 75 77 81 244 84 86 249 250 90 262 93 95 267 268 99 145 102 104 150 151 108 280 111 113 285 286 117 172 120 122 177 178 126 190 129 131 195 196 135 199 138 140 204 205 144 147 149 153 226 156 158 231 232 162 235 165 167 240 241 171 174 176 180 253 183 185 258 259 189 192 194 198 201 203 207 210 212 216 271 219 221 276 277 225 228 230 234 237 239 243 246 248 252 255 257 261 264 266 270 273 275 279 282 284 288,2 4 6 8 45 11 13 15 17 54 20 22 24 26 63 29 31 33 35 81 38 40 42 44 47 49 51 53 56 58 60 62 65 67 69 71 216 74 76 78 80 83 85 87 89 252 92 94 96 98 270 101 103 105 107 153 110 112 114 116 288 119 121 123 125 180 128 130 132 134 198 137 139 141 143 207 146 148 150 152 155 157 159 161 234 164 166 168 170 243 173 175 177 179 182 184 186 188 261 191 193 195 197 200 202 204 206 209 211 213 215 218 220 222 224 279 227 229 231 233 236 238 240 242 245 247 249 251 254 256 258 260 263 265 267 269 272 274 276 278 281 283 285 287,19 11 12 103 104 7 107 108 28 121 122 16 125 126 29 30 130 131 25 134 135 157 158 34 161 162 55 65 66 139 140 43 143 144 73 83 84 166 167 52 170 171 92 93 184 185 61 188 189 91 175 176 70 179 180 110 111 220 221 79 224 225 109 148 149 88 152 153 229 230 97 233 234 127 119 120 106 193 194 115 197 198 154 124 155 156 133 181 173 174 142 190 164 165 151 160 217 169 226 178 227 228 187 218 219 196 253 236 237 247 248 205 251 252 262 245 246 238 239 214 242 243 223 232 271 241 280 250 272 273 283 284 259 287 288 281 282 274 275 268 278 279 277 286:6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3,4 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> {(2, 188): 'tau2', (2, 63): 't3^-1', (2, 184): 'tau2', (2, 187): 'tau2', (2, 180): 't3^-1', (2, 183): 'tau2', (1, 116): 't2', (2, 172): 't3^-1', (2, 173): 't3^-1', (2, 46): 't2', (2, 47): 't2', (2, 164): 't2', (2, 37): 't3', (2, 38): 't3', (2, 160): 't1', (2, 161): 't1', (2, 162): 't2', (2, 163): 't2', (2, 156): 't1', (2, 157): 't1', (2, 286): 't2^-1*tau3*t1*tau2^-1', (2, 287): 't2^-1*tau3*t1*tau2^-1', (2, 280): 'tau1*t3^-1', (2, 281): 'tau1*t3^-1', (0, 285): 't2^-1', (2, 277): 't2*tau3^-1*t1^-1*tau2', (2, 278): 't2*tau3^-1*t1^-1*tau2', (2, 273): 't2*tau3^-1*t1^-1*tau2', (2, 274): 't2*tau3^-1*t1^-1*tau2', (2, 283): 't2^-1*tau3*t1*tau2^-1', (2, 133): 't1', (2, 134): 't1', (2, 129): 't1', (2, 130): 't1', (2, 252): 't3^-1', (2, 253): 't3^-1*tau1', (2, 254): 't3^-1*tau1', (2, 255): 'tau2*t1^-1*tau3^-1*t2', (2, 244): 'tau1', (2, 245): 'tau1', (0, 113): 't2', (2, 236): 'tau1^-1', (2, 232): 'tau2', (2, 233): 'tau2', (0, 108): 't2', (2, 235): 'tau1^-1', (2, 228): 'tau2', (2, 229): 'tau2', (2, 224): 'tau3^-1', (2, 220): 'tau3^-1', (2, 108): 't2', (0, 216): 't2^-1', (2, 223): 'tau3^-1', (0, 222): 't2^-1', (2, 219): 'tau3^-1', (0, 221): 't2^-1', (1, 278): 't2', (2, 207): 't3^-1', (2, 196): 'tau3^-1', (2, 197): 'tau3^-1', (2, 192): 'tau3^-1', (2, 193): 'tau3^-1'}