U-tiling: UQC4320
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1206 |
*2224 |
(4,4,2) |
{4,3,6,4} |
{5.5.5.5}{5.4.5}{5.4.4.5.4.4}{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
|
|
sqc9221
|
|
I4/mmm |
139 |
tetragonal |
{3,6,4,4} |
18 |
(4,4) |
G
|
False
|
|
sqc12760
|
|
I41/acd |
142 |
tetragonal |
{4,3,6,4} |
36 |
(4,5) |
D
|
False
|
|
sqc9061
|
|
P42/nnm |
134 |
tetragonal |
{3,4,6,4} |
18 |
(4,4) |
Topological data
Vertex degrees | {4,3,6,4} |
2D vertex symbol | {5.5.5.5}{5.4.5}{5.4.4.5.4.4}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<94.1:288:10 3 5 7 9 12 14 16 18 28 21 23 25 27 30 32 34 36 64 39 41 43 45 82 48 50 52 54 91 57 59 61 63 66 68 70 72 109 75 77 79 81 84 86 88 90 93 95 97 99 118 102 104 106 108 111 113 115 117 120 122 124 126 154 129 131 133 135 172 138 140 142 144 163 147 149 151 153 156 158 160 162 165 167 169 171 174 176 178 180 226 183 185 187 189 217 192 194 196 198 235 201 203 205 207 244 210 212 214 216 219 221 223 225 228 230 232 234 237 239 241 243 246 248 250 252 271 255 257 259 261 280 264 266 268 270 273 275 277 279 282 284 286 288,2 4 14 42 8 45 11 13 51 17 54 20 22 32 60 26 63 29 31 78 35 81 38 40 68 44 47 49 86 53 56 58 95 62 65 67 213 71 216 74 76 113 80 83 85 249 89 252 92 94 267 98 270 101 103 122 150 107 153 110 112 285 116 288 119 121 177 125 180 128 130 158 195 134 198 137 139 176 204 143 207 146 148 167 152 155 157 231 161 234 164 166 240 170 243 173 175 179 182 184 230 258 188 261 191 193 221 197 200 202 239 206 209 211 248 215 218 220 276 224 279 227 229 233 236 238 242 245 247 251 254 256 275 260 263 265 284 269 272 274 278 281 283 287,19 38 39 6 7 107 108 28 47 48 15 16 125 126 56 57 24 25 134 135 74 75 33 34 161 162 55 42 43 143 144 73 51 52 170 171 60 61 188 189 91 209 210 69 70 179 180 78 79 224 225 109 245 246 87 88 152 153 263 264 96 97 233 234 127 146 147 105 106 281 282 114 115 197 198 154 173 174 123 124 191 192 132 133 181 200 201 141 142 190 150 151 227 228 159 160 217 236 237 168 169 226 177 178 254 255 186 187 195 196 253 204 205 251 252 262 213 214 242 243 272 273 222 223 231 232 271 240 241 280 249 250 258 259 287 288 267 268 278 279 276 277 285 286:5 4 4 5 4 4 5 5 5 4 5 4 4 5 4 4 4 5 4 5 4 5 4 4 5 4 5 5 5 4 5 5,4 3 6 4 4 3 4 3 6 4 3 4 6 6 6 4 3 6 4 3 3 4 3 3 4 3 3 4 3 3 4 3 3 6 3 6> {(2, 188): 'tau2', (2, 63): 't3^-1', (0, 63): 't3^-1', (2, 187): 'tau2', (2, 180): 't3^-1', (1, 238): 'tau1^-1', (1, 116): 't2', (1, 247): 'tau1', (0, 171): 't3^-1', (0, 45): 't2', (0, 162): 't2', (1, 224): 't2^-1', (2, 160): 't1', (2, 161): 't1', (2, 162): 't2', (2, 286): 't2^-1*tau3*t1*tau2^-1', (2, 287): 't2^-1*tau3*t1*tau2^-1', (1, 221): 't2^-1', (2, 277): 't2*tau3^-1*t1^-1*tau2', (2, 278): 't2*tau3^-1*t1^-1*tau2', (1, 85): 't2^-1', (0, 279): 'tau1*t3^-1', (1, 113): 't2', (2, 133): 't1', (2, 134): 't1', (2, 252): 't3^-1', (0, 252): 't3^-1*tau1', (0, 243): 'tau1', (2, 108): 't2', (1, 40): 't3', (2, 110): 't2', (2, 232): 'tau2', (2, 233): 'tau2', (1, 175): 't3^-1', (2, 224): 'tau3^-1', (1, 166): 't2', (0, 234): 'tau1^-1', (1, 283): 'tau1*t3^-1', (2, 223): 'tau3^-1', (2, 217): 't2^-1', (2, 218): 't2^-1', (2, 109): 't2', (1, 274): 'tau1^-1*t3', (2, 207): 't3^-1', (2, 196): 'tau3^-1', (2, 197): 'tau3^-1'}