U-tiling: UQC4325
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1209 |
*2224 |
(4,4,2) |
{4,6,3,4} |
{5.5.5.5}{5.4.5.5.4.5}{5.4.4}{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
|
|
sqc9064
|
|
I4/mmm |
139 |
tetragonal |
{3,4,4,6} |
18 |
(4,4) |
G
|
False
|
|
sqc12773
|
|
I41/acd |
142 |
tetragonal |
{4,6,3,4} |
36 |
(4,5) |
D
|
False
|
|
sqc8797
|
|
P42/nnm |
134 |
tetragonal |
{6,3,4,4} |
18 |
(4,4) |
Topological data
Vertex degrees | {4,6,3,4} |
2D vertex symbol | {5.5.5.5}{5.4.5.5.4.5}{5.4.4}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<95.2:288:37 3 5 7 9 46 12 14 16 18 55 21 23 25 27 73 30 32 34 36 39 41 43 45 48 50 52 54 57 59 61 63 208 66 68 70 72 75 77 79 81 244 84 86 88 90 262 93 95 97 99 145 102 104 106 108 280 111 113 115 117 172 120 122 124 126 190 129 131 133 135 199 138 140 142 144 147 149 151 153 226 156 158 160 162 235 165 167 169 171 174 176 178 180 253 183 185 187 189 192 194 196 198 201 203 205 207 210 212 214 216 271 219 221 223 225 228 230 232 234 237 239 241 243 246 248 250 252 255 257 259 261 264 266 268 270 273 275 277 279 282 284 286 288,2 4 41 105 8 108 11 13 50 123 17 126 20 22 59 132 26 135 29 31 77 159 35 162 38 40 141 44 144 47 49 168 53 171 56 58 186 62 189 65 67 212 177 71 180 74 76 222 80 225 83 85 248 150 89 153 92 94 266 231 98 234 101 103 149 107 110 112 284 195 116 198 119 121 176 125 128 130 194 134 137 139 203 143 146 148 152 155 157 230 161 164 166 239 170 173 175 179 182 184 257 188 191 193 197 200 202 249 206 252 209 211 240 215 243 218 220 275 224 227 229 233 236 238 242 245 247 251 254 256 285 260 288 263 265 276 269 279 272 274 278 281 283 287,19 11 12 6 7 44 45 28 15 16 53 54 29 30 24 25 62 63 33 34 80 81 55 65 66 42 43 73 83 84 51 52 92 93 60 61 91 69 70 215 216 110 111 78 79 109 87 88 251 252 96 97 269 270 127 119 120 105 106 152 153 114 115 287 288 154 123 124 179 180 155 156 132 133 197 198 181 173 174 141 142 206 207 190 164 165 150 151 159 160 233 234 217 168 169 242 243 226 177 178 227 228 186 187 260 261 218 219 195 196 253 236 237 204 205 262 245 246 213 214 222 223 278 279 231 232 271 240 241 280 249 250 272 273 258 259 281 282 267 268 276 277 285 286:5 4 5 4 5 4 5 4 4 4 4 5 4 4 5 4 5 4 5 5 4 5 5 5 5 5 5 4 4 5 4 4,4 6 3 4 3 4 6 3 4 3 4 4 6 4 6 6 3 6 3 3 4 3 3 3 3 4 3 4 3 3 3 4 6 4 3 6> {(2, 63): 't3^-1', (2, 180): 't3^-1', (1, 112): 't2', (2, 116): 't2', (1, 116): 'tau3', (2, 172): 't3^-1', (2, 173): 't3^-1', (2, 46): 't2', (2, 47): 't2', (2, 164): 't2', (2, 38): 't3', (1, 98): 'tau2^-1', (2, 162): 't2', (2, 163): 't2', (2, 280): 'tau1*t3^-1', (1, 220): 't2^-1', (1, 95): 'tau2^-1', (1, 80): 'tau3', (1, 113): 'tau3', (1, 77): 'tau3', (2, 252): 't3^-1', (2, 253): 't3^-1*tau1', (1, 59): 'tau2^-1', (1, 62): 'tau2^-1', (2, 244): 'tau1', (2, 245): 'tau1', (2, 115): 't2', (2, 236): 'tau1^-1', (2, 223): 't2^-1', (2, 254): 't3^-1*tau1', (0, 108): 't2', (2, 235): 'tau1^-1', (1, 32): 't1^-1', (1, 35): 't1^-1', (2, 224): 't2^-1', (2, 281): 'tau1*t3^-1', (2, 108): 't2', (0, 216): 't2^-1', (1, 26): 't1^-1', (1, 284): 't2^-1*tau3*t1*tau2^-1', (1, 287): 't2^-1*tau3*t1*tau2^-1', (1, 275): 't2*tau3^-1*t1^-1*tau2', (1, 23): 't1^-1', (1, 278): 't2*tau3^-1*t1^-1*tau2', (2, 207): 't3^-1', (2, 64): 't3^-1'}