U-tiling: UQC4338
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc1218.jpg) |
hqc1218 |
*2224 |
(4,4,2) |
{4,3,3,4} |
{5.5.5.5}{5.8.5}{5.8.8}{8.8.8.8} |
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
|
|
sqc2883
|
|
P4/mmm |
123 |
tetragonal |
{4,3,3,4} |
11 |
(4,4) |
G
|
False
|
|
sqc12870
|
|
I41/acd |
142 |
tetragonal |
{4,3,3,4} |
44 |
(4,5) |
D
|
False
|
|
sqc9232
|
|
P42/nnm |
134 |
tetragonal |
{3,3,4,4} |
22 |
(4,4) |
Topological data
Vertex degrees | {4,3,3,4} |
2D vertex symbol | {5.5.5.5}{5.8.5}{5.8.8}{8.8.8.8} |
Dual tiling | ![Tiling details](/u_net_small_images/s2224_FSGG_96_1_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<96.1:288:100 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 4 104 24 8 45 11 13 122 33 17 54 20 22 131 26 63 29 31 158 35 81 38 40 140 60 44 47 49 167 78 53 56 58 185 62 65 67 176 96 71 216 74 76 221 80 83 85 149 114 89 252 92 94 230 98 270 101 103 132 107 153 110 112 194 116 288 119 121 159 125 180 128 130 134 198 137 139 186 143 207 146 148 195 152 155 157 161 234 164 166 222 170 243 173 175 231 179 182 184 188 261 191 193 197 200 202 248 258 206 209 211 239 267 215 218 220 224 279 227 229 233 236 238 276 242 245 247 285 251 254 256 284 260 263 265 275 269 272 274 278 281 283 287,10 20 21 6 7 107 108 29 30 15 16 125 126 28 24 25 134 135 33 34 161 162 64 56 57 42 43 143 144 82 74 75 51 52 170 171 91 60 61 188 189 92 93 69 70 179 180 109 78 79 224 225 110 111 87 88 152 153 96 97 233 234 118 128 129 105 106 114 115 197 198 155 156 123 124 154 132 133 172 182 183 141 142 163 191 192 150 151 159 160 218 219 168 169 227 228 177 178 226 186 187 217 195 196 235 254 255 204 205 251 252 244 263 264 213 214 242 243 222 223 231 232 272 273 240 241 281 282 249 250 271 258 259 287 288 280 267 268 278 279 276 277 285 286:5 8 5 8 5 5 5 5 5 5 8 5 5 8 5 8 5 8 8 8 5 5 5 5,4 3 3 4 3 3 4 3 4 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 4 3 3 3 4 3 3 4 3 3 3 3 3 3> {(2, 188): 'tau2', (1, 185): 't3^-1', (2, 63): 't3^-1', (0, 108): 'tau3', (2, 187): 'tau2', (1, 113): 't2', (1, 112): 'tau3', (2, 182): 't3^-1', (0, 54): 'tau2^-1', (1, 116): 't2', (2, 45): 't2', (2, 171): 't3^-1', (2, 164): 't2', (1, 224): 't2^-1', (1, 274): 't2*tau3^-1*t1^-1*tau2', (2, 160): 't1', (2, 161): 't1', (2, 162): 't2', (2, 163): 't2', (0, 27): 't1^-1', (2, 286): 't2^-1*tau3*t1*tau2^-1', (2, 287): 't2^-1*tau3*t1*tau2^-1', (1, 221): 't2^-1', (1, 95): 't3', (1, 94): 'tau2^-1', (0, 18): 't1^-1', (2, 277): 't2*tau3^-1*t1^-1*tau2', (2, 278): 't2*tau3^-1*t1^-1*tau2', (2, 279): 'tau1*t3^-1', (1, 212): 't3^-1', (1, 203): 't3', (2, 136): 't3', (1, 76): 'tau3', (2, 133): 't1', (2, 134): 't1', (2, 252): 't3^-1*tau1', (2, 253): 't3^-1', (2, 254): 't3^-1', (1, 58): 'tau2^-1', (0, 252): 'tau2*t1^-1*tau3^-1*t2', (2, 243): 'tau1', (2, 109): 't2', (2, 110): 't2', (2, 232): 'tau2', (2, 233): 'tau2', (2, 234): 'tau1^-1', (2, 224): 'tau3^-1', (2, 92): 't3', (0, 90): 'tau2^-1', (1, 283): 't2^-1*tau3*t1*tau2^-1', (2, 223): 'tau3^-1', (1, 157): 't1', (2, 91): 't3', (0, 270): 't2*tau3^-1*t1^-1*tau2', (2, 208): 't3^-1', (2, 209): 't3^-1', (1, 22): 't1^-1', (0, 72): 'tau3', (2, 196): 'tau3^-1', (2, 197): 'tau3^-1'}