U-tiling: UQC4066
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1176 |
*2224 |
(3,4,2) |
{16,6,4} |
{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3... |
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
|
True
|
|
sqc2220
|
|
P4/mmm |
123 |
tetragonal |
{14,4,6} |
5 |
(3,4) |
|
G
|
False
|
|
sqc12579
|
|
I41/acd |
142 |
tetragonal |
{16,6,4} |
20 |
(3,5) |
|
D
|
False
|
|
sqc8636
|
|
P42/nnm |
134 |
tetragonal |
{16,6,4} |
10 |
(3,4) |
Topological data
| Vertex degrees | {16,6,4} |
| 2D vertex symbol | {3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:288:19 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 6 9 8 11 30 15 18 17 20 24 27 26 29 33 36 35 38 57 42 45 44 47 75 51 54 53 56 60 63 62 65 93 69 72 71 74 78 81 80 83 111 87 90 89 92 96 99 98 101 129 105 108 107 110 114 117 116 119 156 123 126 125 128 132 135 134 137 183 141 144 143 146 192 150 153 152 155 159 162 161 164 219 168 171 170 173 228 177 180 179 182 186 189 188 191 195 198 197 200 255 204 207 206 209 264 213 216 215 218 222 225 224 227 231 234 233 236 273 240 243 242 245 282 249 252 251 254 258 261 260 263 267 270 269 272 276 279 278 281 285 288 287,37 4 5 105 106 17 18 46 13 14 123 124 55 22 23 132 133 35 36 73 31 32 159 160 40 41 141 142 71 72 49 50 168 169 89 90 58 59 186 187 98 99 208 67 68 177 178 76 77 222 223 116 117 244 85 86 150 151 262 94 95 231 232 145 103 104 125 126 280 112 113 195 196 172 121 122 190 130 131 161 162 199 139 140 179 180 148 149 170 171 226 157 158 235 166 167 175 176 253 184 185 233 234 193 194 224 225 202 203 249 250 242 243 211 212 240 241 251 252 271 220 221 229 230 238 239 247 248 256 257 285 286 278 279 265 266 276 277 287 288 274 275 283 284:3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,16 6 4 16 16 4 16 6 4 6 4 4 4 6 6 6 6 4 6 4> {(0, 63): 't3^-1', (2, 186): 'tau2', (2, 52): 't2', (2, 53): 't2', (2, 43): 't3', (2, 178): 't3^-1', (2, 179): 't3^-1', (2, 44): 't3', (2, 169): 't2', (2, 170): 't2', (1, 110): 't2', (0, 162): 't2', (2, 185): 'tau2', (2, 284): 't2^-1*tau3*t1*tau2^-1', (2, 285): 't2^-1*tau3*t1*tau2^-1', (2, 158): 't1', (2, 159): 't1', (1, 92): 't3', (1, 209): 't3^-1', (2, 277): 'tau1^-1*t3', (2, 278): 'tau1^-1*t3', (2, 275): 't2*tau3^-1*t1^-1*tau2', (0, 252): 't3^-1', (1, 200): 't3', (2, 286): 'tau1*t3^-1', (2, 132): 't1', (2, 287): 'tau1*t3^-1', (2, 131): 't1', (2, 250): 'tau1', (2, 251): 'tau1', (2, 241): 'tau1^-1', (2, 242): 'tau1^-1', (1, 182): 't3^-1', (2, 108): 't2', (1, 218): 't2^-1', (0, 180): 't3^-1', (0, 108): 't2', (2, 230): 'tau2', (2, 231): 'tau2', (2, 221): 'tau3^-1', (2, 222): 'tau3^-1', (2, 216): 't2^-1', (2, 276): 't2*tau3^-1*t1^-1*tau2', (0, 207): 't3^-1', (2, 194): 'tau3^-1', (2, 195): 'tau3^-1'}