U-tiling: UQC4105
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1197 |
*2224 |
(3,4,2) |
{4,6,4} |
{12.3.3.12}{12.3.3.12.3.3}{3.3.3.3} |
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
|
|
sqc8988
|
|
I4/mmm |
139 |
tetragonal |
{4,6,4} |
16 |
(3,4) |
|
G
|
False
|
|
sqc12721
|
|
I41/acd |
142 |
tetragonal |
{4,6,4} |
32 |
(3,5) |
|
D
|
False
|
|
sqc2992
|
|
P42/mmc |
131 |
tetragonal |
{4,4,6} |
8 |
(3,4) |
Topological data
| Vertex degrees | {4,6,4} |
| 2D vertex symbol | {12.3.3.12}{12.3.3.12.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.1:288:100 3 5 7 9 118 12 14 16 18 127 21 23 25 27 154 30 32 34 36 136 39 41 43 45 163 48 50 52 54 181 57 59 61 63 172 66 68 70 72 217 75 77 79 81 145 84 86 88 90 226 93 95 97 99 102 104 106 108 190 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144 147 149 151 153 156 158 160 162 165 167 169 171 174 176 178 180 183 185 187 189 192 194 196 198 244 201 203 205 207 235 210 212 214 216 219 221 223 225 228 230 232 234 237 239 241 243 246 248 250 252 280 255 257 259 261 271 264 266 268 270 273 275 277 279 282 284 286 288,2 39 6 9 8 11 48 15 18 17 20 57 24 27 26 29 75 33 36 35 38 42 45 44 47 51 54 53 56 60 63 62 65 210 69 72 71 74 78 81 80 83 246 87 90 89 92 264 96 99 98 101 147 105 108 107 110 282 114 117 116 119 174 123 126 125 128 192 132 135 134 137 201 141 144 143 146 150 153 152 155 228 159 162 161 164 237 168 171 170 173 177 180 179 182 255 186 189 188 191 195 198 197 200 204 207 206 209 213 216 215 218 273 222 225 224 227 231 234 233 236 240 243 242 245 249 252 251 254 258 261 260 263 267 270 269 272 276 279 278 281 285 288 287,10 4 5 15 16 26 27 13 14 35 36 28 22 23 33 34 31 32 64 40 41 69 70 62 63 82 49 50 87 88 80 81 91 58 59 96 97 67 68 98 99 109 76 77 114 115 85 86 116 117 94 95 118 103 104 123 124 134 135 112 113 121 122 161 162 154 130 131 159 160 172 139 140 177 178 188 189 163 148 149 168 169 197 198 157 158 166 167 224 225 175 176 233 234 226 184 185 231 232 217 193 194 222 223 235 202 203 240 241 260 261 244 211 212 249 250 269 270 220 221 229 230 238 239 278 279 247 248 287 288 271 256 257 276 277 280 265 266 285 286 274 275 283 284:12 3 12 3 12 3 12 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,4 6 4 6 4 4 4 4 4 4 6 4 6 4 6 4 6 4 4 6 4 4 4 6 4 4 4 4 4 4 4 4> {(2, 188): 't3^-1', (2, 63): 't3^-1', (0, 108): 'tau3', (2, 187): 't3^-1', (1, 110): 't2', (0, 54): 'tau2^-1', (2, 177): 't3^-1', (2, 51): 't2', (2, 45): 't2', (2, 168): 't2', (2, 169): 't2', (2, 170): 't2', (2, 171): 't3^-1', (2, 167): 't2', (2, 162): 't2', (2, 284): 'tau1*t3^-1', (0, 27): 't1^-1', (1, 218): 't2^-1', (0, 18): 't1^-1', (2, 279): 'tau1*t3^-1', (2, 206): 't3', (2, 42): 't3', (2, 275): 'tau1^-1*t3', (2, 140): 't3', (0, 270): 't2*tau3^-1*t1^-1*tau2', (2, 276): 'tau1^-1*t3', (2, 252): 't3^-1*tau1', (2, 248): 'tau1', (2, 249): 'tau1', (0, 252): 'tau2*t1^-1*tau3^-1*t2', (2, 285): 'tau1*t3^-1', (2, 116): 't2', (2, 240): 'tau1^-1', (2, 243): 'tau1', (2, 239): 'tau1^-1', (2, 234): 'tau1^-1', (2, 115): 't2', (2, 97): 't3', (2, 98): 't3', (0, 90): 'tau2^-1', (2, 214): 't3^-1', (2, 215): 't3^-1', (2, 205): 't3', (0, 72): 'tau3', (2, 86): 't2^-1', (2, 41): 't3'}