U-tiling: UQC4353
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1227 |
*2224 |
(4,4,2) |
{4,4,4,4} |
{5.5.5.5}{5.4.4.5}{5.4.5.4}{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
|
|
sqc8896
|
|
I4/mmm |
139 |
tetragonal |
{4,4,4,4} |
18 |
(4,4) |
G
|
False
|
|
sqc12836
|
|
I41/acd |
142 |
tetragonal |
{4,4,4,4} |
36 |
(4,5) |
D
|
False
|
|
sqc9172
|
|
P42/nnm |
134 |
tetragonal |
{4,4,4,4} |
18 |
(4,4) |
Topological data
Vertex degrees | {4,4,4,4} |
2D vertex symbol | {5.5.5.5}{5.4.4.5}{5.4.5.4}{4.4.4.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<98.2:288:19 3 5 7 9 28 12 14 16 18 21 23 25 27 30 32 34 36 55 39 41 43 45 73 48 50 52 54 57 59 61 63 91 66 68 70 72 75 77 79 81 109 84 86 88 90 93 95 97 99 127 102 104 106 108 111 113 115 117 154 120 122 124 126 129 131 133 135 181 138 140 142 144 190 147 149 151 153 156 158 160 162 217 165 167 169 171 226 174 176 178 180 183 185 187 189 192 194 196 198 253 201 203 205 207 262 210 212 214 216 219 221 223 225 228 230 232 234 271 237 239 241 243 280 246 248 250 252 255 257 259 261 264 266 268 270 273 275 277 279 282 284 286 288,2 4 23 8 43 45 11 13 32 17 52 54 20 22 26 61 63 29 31 35 79 81 38 40 59 44 47 49 77 53 56 58 62 65 67 95 71 214 216 74 76 80 83 85 113 89 250 252 92 94 98 268 270 101 103 131 107 151 153 110 112 116 286 288 119 121 158 125 178 180 128 130 134 196 198 137 139 185 143 205 207 146 148 194 152 155 157 161 232 234 164 166 221 170 241 243 173 175 230 179 182 184 188 259 261 191 193 197 200 202 257 206 209 211 266 215 218 220 224 277 279 227 229 233 236 238 275 242 245 247 284 251 254 256 260 263 265 269 272 274 278 281 283 287,10 101 102 6 7 107 108 119 120 15 16 125 126 28 128 129 24 25 134 135 155 156 33 34 161 162 64 137 138 42 43 143 144 82 164 165 51 52 170 171 91 182 183 60 61 188 189 173 174 69 70 179 180 109 218 219 78 79 224 225 146 147 87 88 152 153 227 228 96 97 233 234 118 105 106 191 192 114 115 197 198 123 124 154 132 133 172 141 142 163 150 151 159 160 168 169 177 178 226 186 187 217 195 196 235 245 246 204 205 251 252 244 236 237 213 214 242 243 222 223 231 232 240 241 249 250 271 281 282 258 259 287 288 280 272 273 267 268 278 279 276 277 285 286:5 4 5 4 4 4 5 5 5 4 5 4 4 5 4 4 5 4 4 5 4 5 4 5 4 5 4 5 5 4 5 5,4 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, 190): 'tau3^-1', (2, 191): 'tau3^-1', (0, 63): 't3^-1', (2, 187): 'tau2', (2, 181): 'tau2', (2, 182): 'tau2', (1, 114): 't2', (1, 116): 't2', (0, 180): 't3^-1', (2, 45): 't2', (2, 63): 't3^-1', (2, 171): 't3^-1', (1, 224): 't2^-1', (1, 184): 't3^-1', (2, 160): 't1', (2, 161): 't1', (2, 162): 't2', (2, 287): 't2^-1*tau3*t1*tau2^-1', (2, 154): 't1', (2, 155): 't1', (2, 277): 't2*tau3^-1*t1^-1*tau2', (1, 211): 't3^-1', (2, 279): 'tau1*t3^-1', (2, 272): 't2*tau3^-1*t1^-1*tau2', (2, 19): 't1^-1', (1, 202): 't3', (1, 112): 't2', (2, 133): 't1', (2, 134): 't1', (1, 166): 't2', (2, 128): 't1', (2, 259): 'tau2*t1^-1*tau3^-1*t2', (2, 252): 't3^-1*tau1', (2, 253): 'tau2*t1^-1*tau3^-1*t2', (2, 254): 'tau2*t1^-1*tau3^-1*t2', (0, 252): 't3^-1', (1, 94): 't3', (2, 243): 'tau1', (2, 232): 'tau2', (2, 233): 'tau2', (0, 108): 't2', (2, 224): 'tau3^-1', (2, 226): 'tau2', (2, 227): 'tau2', (0, 216): 't2^-1', (2, 223): 'tau3^-1', (2, 217): 'tau3^-1', (2, 218): 'tau3^-1', (1, 222): 't2^-1', (2, 271): 't2*tau3^-1*t1^-1*tau2', (0, 207): 't3^-1', (2, 196): 'tau3^-1', (2, 197): 'tau3^-1', (2, 198): 'tau1', (2, 278): 't2*tau3^-1*t1^-1*tau2'}