U-tiling: UQC5113
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1904 |
*2323 |
(4,5,2) |
{12,4,4,3} |
{5.3.3.5.5.3.3.5.5.3.3.5}{5.5.3.... |
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
|
False
|
|
sqc12489
|
|
P4232 |
208 |
cubic |
{12,4,4,3} |
26 |
(4,5) |
|
G
|
False
|
|
sqc12490
|
|
I213 |
199 |
cubic |
{12,4,4,3} |
26 |
(4,6) |
|
D
|
False
|
|
sqc12485
|
|
F-43m |
216 |
cubic |
{12,4,4,3} |
26 |
(4,5) |
Topological data
| Vertex degrees | {12,4,4,3} |
| 2D vertex symbol | {5.3.3.5.5.3.3.5.5.3.3.5}{5.5.3.3}{3.3.3.3}{5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.1:264:34 3 5 7 9 11 56 14 16 18 20 22 133 25 27 29 31 33 36 38 40 42 44 199 47 49 51 53 55 58 60 62 64 66 232 69 71 73 75 77 111 80 82 84 86 88 155 91 93 95 97 99 177 102 104 106 108 110 113 115 117 119 121 210 124 126 128 130 132 135 137 139 141 143 243 146 148 150 152 154 157 159 161 163 165 221 168 170 172 174 176 179 181 183 185 187 254 190 192 194 196 198 201 203 205 207 209 212 214 216 218 220 223 225 227 229 231 234 236 238 240 242 245 247 249 251 253 256 258 260 262 264,2 10 6 9 8 44 13 21 17 20 19 66 24 32 28 31 30 143 35 43 39 42 41 46 54 50 53 52 209 57 65 61 64 63 68 76 72 75 74 242 79 87 83 86 85 121 90 98 94 97 96 165 101 109 105 108 107 187 112 120 116 119 118 123 131 127 130 129 220 134 142 138 141 140 145 153 149 152 151 253 156 164 160 163 162 167 175 171 174 173 231 178 186 182 185 184 189 197 193 196 195 264 200 208 204 207 206 211 219 215 218 217 222 230 226 229 228 233 241 237 240 239 244 252 248 251 250 255 263 259 262 261,12 4 5 28 29 85 86 87 88 15 16 72 73 173 174 175 176 45 26 27 129 130 131 132 56 37 38 149 150 162 163 164 165 48 49 94 95 228 229 230 231 59 60 182 183 206 207 208 209 89 70 71 217 218 219 220 100 81 82 127 128 92 93 118 119 120 121 103 104 237 238 250 251 252 253 177 114 115 226 227 188 125 126 199 136 137 248 249 239 240 241 242 221 147 148 195 196 197 198 232 158 159 193 194 243 169 170 215 216 180 181 261 262 263 264 191 192 202 203 259 260 254 213 214 224 225 235 236 246 247 257 258:5 3 5 3 5 3 3 5 3 3 5 3 5 3 5 3 5 3 3 5 3 3 5 3 3 5 3 3 5 3 3 3 3 3 3 3,12 4 4 3 4 4 3 4 3 12 4 4 4 4 4 4 4 12 4 4 4 3 12 4 4 4> {(1, 120): 't1', (2, 184): 'tau2*t3*tau1^-1', (2, 185): 'tau2*t3*tau1^-1', (2, 186): 'tau2*t3*tau1^-1', (2, 181): 'tau2', (2, 182): 'tau2', (2, 183): 'tau2*t3*tau1^-1', (1, 109): 'tau3^-1*t1^-1', (2, 164): 't1', (2, 165): 'tau1', (2, 160): 'tau3^-1', (2, 161): 't1', (2, 162): 't1', (2, 163): 't1', (1, 252): 'tau1^-1*t3*tau2', (1, 219): 't2^-1', (2, 159): 'tau3^-1', (2, 152): 't1^-1*tau3^-1', (2, 153): 't1^-1*tau3^-1', (2, 150): 't1^-1*tau3^-1', (2, 151): 't1^-1*tau3^-1', (2, 140): 't2', (2, 141): 't2', (2, 142): 't2', (2, 143): 'tau2^-1', (0, 143): 'tau2^-1*t3^-1*tau1', (2, 139): 't2', (1, 230): 't3^-1', (1, 197): 't2', (2, 252): 't2', (0, 121): 't2', (2, 249): 't2', (2, 250): 't2', (2, 251): 't2', (0, 253): 't2^-1', (0, 110): 't1', (0, 99): 'tau3^-1*t1^-1', (2, 99): 'tau3^-1', (0, 220): 't3^-1', (2, 208): 't3^-1', (2, 204): 'tau1^-1', (2, 205): 't3^-1', (2, 206): 't3^-1', (2, 207): 't3^-1', (2, 203): 'tau1^-1'}