U-tiling: UQC5226
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1541 |
*2323 |
(5,4,2) |
{3,6,3,4,3} |
{4.4.4}{4.6.4.4.6.4}{4.6.6}{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
|
|
sqc12212
|
|
P4232 |
208 |
cubic |
{3,6,3,4,3} |
32 |
(5,4) |
|
G
|
False
|
|
sqc12211
|
|
I213 |
199 |
cubic |
{3,6,3,4,3} |
32 |
(5,5) |
|
D
|
False
|
|
sqc12210
|
|
F-43m |
216 |
cubic |
{3,6,3,4,3} |
32 |
(5,4) |
Topological data
| Vertex degrees | {3,6,3,4,3} |
| 2D vertex symbol | {4.4.4}{4.6.4.4.6.4}{4.6.6}{6.6.6.6}{6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<59.1:240:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208 210 212 214 216 218 220 222 224 226 228 230 232 234 236 238 240,31 3 34 25 7 9 30 51 13 54 65 17 19 70 121 23 124 27 29 33 135 37 39 140 181 43 184 85 47 49 90 53 165 57 59 170 211 63 214 67 69 101 73 104 115 77 79 120 141 83 144 87 89 161 93 164 215 97 99 220 103 205 107 109 210 191 113 194 117 119 123 225 127 129 230 221 133 224 137 139 143 175 147 149 180 201 153 204 195 157 159 200 163 167 169 231 173 234 177 179 183 235 187 189 240 193 197 199 203 207 209 213 217 219 223 227 229 233 237 239,71 72 5 6 37 38 19 20 151 152 15 16 57 58 111 112 25 26 127 128 49 50 141 142 35 36 59 60 201 202 45 46 187 188 181 182 55 56 191 192 65 66 217 218 89 90 75 76 107 108 99 100 101 102 85 86 147 148 221 222 95 96 167 168 105 106 169 170 115 116 197 198 179 180 211 212 125 126 189 190 171 172 135 136 227 228 209 210 145 146 219 220 155 156 207 208 229 230 231 232 165 166 175 176 237 238 185 186 195 196 239 240 205 206 215 216 225 226 235 236:4 6 4 6 4 6 4 6 6 4 4 6 4 4 6 6 4 6 4 6 4 6 4 6,3 6 3 4 3 3 6 3 3 3 4 6 3 6 3 6 3 4 3 4 3 3 3 6 3 3 4 3 3 4 3 3> {(1, 239): 'tau1', (2, 180): 't3^-1', (2, 181): 't3^-1', (2, 171): 'tau3*t1', (2, 176): 't2', (2, 177): 't2', (1, 233): 't2^-1', (1, 234): 'tau1', (2, 170): 'tau3*t1', (1, 110): 't2', (2, 166): 't1*tau3', (2, 167): 't1*tau3', (2, 160): 'tau2*t3*tau1^-1', (2, 161): 'tau2*t3*tau1^-1', (1, 103): 't1', (1, 230): 't2^-1', (2, 156): 't3', (2, 157): 't3', (2, 158): 'tau1', (1, 90): 'tau3^-1*t1^-1', (1, 93): 'tau3^-1*t1^-1', (1, 220): 'tau1^-1*t3*tau2', (1, 223): 'tau1^-1*t3*tau2', (1, 200): 't3^-1', (2, 140): 't1', (2, 141): 't1', (1, 203): 't3^-1', (2, 136): 'tau2^-1*t3^-1*tau1', (2, 137): 'tau2^-1*t3^-1*tau1', (2, 138): 'tau2^-1', (2, 139): 'tau2^-1', (1, 193): 't2^-1', (1, 70): 't1^-1', (1, 59): 'tau2^-1', (1, 179): 'tau3', (1, 54): 'tau2^-1', (2, 106): 't1', (2, 107): 't1', (2, 229): 'tau1^-1', (2, 98): 'tau3^-1', (2, 99): 'tau3^-1', (2, 220): 't2', (2, 221): 't2', (1, 144): 'tau3^-1', (2, 210): 't2^-1', (2, 211): 't2^-1', (2, 196): 't2^-1', (2, 197): 't2^-1'}