U-tiling: UQC4280
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1143 |
*2224 |
(4,4,2) |
{6,3,4,4} |
{3.6.3.3.6.3}{3.6.6}{6.6.6.6}{6.... |
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
|
|
sqc8911
|
|
I4/mmm |
139 |
tetragonal |
{3,4,4,6} |
18 |
(4,4) |
G
|
False
|
|
sqc12638
|
|
I41/acd |
142 |
tetragonal |
{6,3,4,4} |
36 |
(4,5) |
D
|
False
|
|
sqc8598
|
|
P42/nnm |
134 |
tetragonal |
{4,4,3,6} |
18 |
(4,4) |
Topological data
Vertex degrees | {6,3,4,4} |
2D vertex symbol | {3.6.3.3.6.3}{3.6.6}{6.6.6.6}{6.6.6.6} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<90.2:288:19 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 21 103 6 8 108 11 30 121 15 17 126 20 130 24 26 135 29 157 33 35 162 38 57 139 42 44 144 47 75 166 51 53 171 56 184 60 62 189 65 93 175 69 71 180 74 220 78 80 225 83 111 148 87 89 153 92 229 96 98 234 101 129 105 107 110 193 114 116 198 119 156 123 125 128 132 134 137 183 141 143 146 192 150 152 155 159 161 164 219 168 170 173 228 177 179 182 186 188 191 195 197 200 255 247 204 206 252 209 264 238 213 215 243 218 222 224 227 231 233 236 273 240 242 245 282 249 251 254 283 258 260 288 263 274 267 269 279 272 276 278 281 285 287,10 4 5 24 25 44 45 13 14 33 34 53 54 28 22 23 62 63 31 32 80 81 64 40 41 60 61 82 49 50 78 79 91 58 59 67 68 96 97 215 216 109 76 77 85 86 114 115 251 252 94 95 269 270 118 103 104 132 133 152 153 112 113 287 288 121 122 159 160 179 180 154 130 131 197 198 172 139 140 186 187 206 207 163 148 149 195 196 157 158 233 234 166 167 222 223 242 243 175 176 231 232 226 184 185 260 261 217 193 194 235 202 203 258 259 244 211 212 267 268 220 221 278 279 229 230 238 239 276 277 247 248 285 286 271 256 257 280 265 266 274 275 283 284:3 6 3 6 6 6 3 6 3 6 6 3 6 6 3 6 6 3 6 3 3 3 3 3 3 6 3 6 3 3 6 6,6 3 4 4 3 4 4 6 4 4 6 3 6 3 6 3 4 6 3 4 3 4 3 4 3 4 3 3 4 3 6 3 3 3 3 6> {(2, 252): 't3^-1*tau1', (2, 63): 't3^-1', (0, 63): 't3^-1', (2, 186): 't3^-1', (1, 254): 't3^-1', (1, 182): 't3^-1', (1, 116): 'tau3', (0, 180): 't3^-1', (2, 45): 't2', (2, 168): 't2', (1, 111): 'tau3', (2, 171): 't3^-1', (1, 98): 'tau2^-1', (2, 162): 't2', (2, 185): 't3^-1', (1, 218): 't2^-1', (1, 93): 'tau2^-1', (1, 92): 't3', (1, 209): 't3^-1', (1, 80): 'tau3', (1, 83): 't2^-1', (2, 279): 'tau1*t3^-1', (1, 75): 'tau3', (2, 95): 't3', (1, 255): 'tau2*t1^-1*tau3^-1*t2', (1, 57): 'tau2^-1', (0, 252): 't3^-1', (1, 62): 'tau2^-1', (2, 116): 't2', (2, 113): 't2', (2, 114): 't2', (2, 243): 'tau1', (2, 223): 't2^-1', (0, 108): 't2', (1, 35): 't1^-1', (2, 115): 't2', (2, 224): 't2^-1', (2, 221): 't2^-1', (0, 216): 't2^-1', (1, 26): 't1^-1', (2, 96): 't3', (1, 287): 't2^-1*tau3*t1*tau2^-1', (1, 30): 't1^-1', (2, 212): 't3^-1', (2, 213): 't3^-1', (1, 21): 't1^-1', (1, 278): 't2*tau3^-1*t1^-1*tau2', (2, 204): 't3', (1, 273): 't2*tau3^-1*t1^-1*tau2', (0, 207): 't3^-1', (2, 203): 't3', (2, 198): 'tau1'}