U-tiling: UQC4469
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1463 |
*2323 |
(4,5,2) |
{6,3,4,3} |
{7.7.7.7.7.7}{7.3.7}{7.7.3.3}{7.... |
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
|
|
sqc12198
|
|
P4232 |
208 |
cubic |
{6,3,4,3} |
32 |
(4,5) |
|
G
|
False
|
|
sqc12192
|
|
I213 |
199 |
cubic |
{6,3,4,3} |
32 |
(4,6) |
|
D
|
False
|
|
sqc12162
|
|
F-43m |
216 |
cubic |
{6,3,4,3} |
32 |
(4,5) |
Topological data
| Vertex degrees | {6,3,4,3} |
| 2D vertex symbol | {7.7.7.7.7.7}{7.3.7}{7.7.3.3}{7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<56.1:240:31 3 5 7 28 10 51 13 15 17 68 20 121 23 25 27 30 33 35 37 138 40 181 43 45 47 88 50 53 55 57 168 60 211 63 65 67 70 101 73 75 77 118 80 141 83 85 87 90 161 93 95 97 218 100 103 105 107 208 110 191 113 115 117 120 123 125 127 228 130 221 133 135 137 140 143 145 147 178 150 201 153 155 157 198 160 163 165 167 170 231 173 175 177 180 183 185 187 238 190 193 195 197 200 203 205 207 210 213 215 217 220 223 225 227 230 233 235 237 240,2 4 9 26 8 40 12 14 19 66 18 60 22 24 29 28 130 32 34 39 136 38 42 44 49 86 48 190 52 54 59 166 58 62 64 69 68 220 72 74 79 116 78 110 82 84 89 88 150 92 94 99 216 98 170 102 104 109 206 108 112 114 119 118 200 122 124 129 226 128 132 134 139 138 230 142 144 149 176 148 152 154 159 196 158 210 162 164 169 168 172 174 179 178 240 182 184 189 236 188 192 194 199 198 202 204 209 208 212 214 219 218 222 224 229 228 232 234 239 238,11 22 23 6 7 78 79 80 62 63 16 17 158 159 160 41 26 27 118 119 120 51 132 133 36 37 148 149 150 82 83 46 47 208 209 210 162 163 56 57 188 189 190 81 66 67 198 199 200 91 112 113 76 77 86 87 108 109 110 212 213 96 97 228 229 230 161 202 203 106 107 171 116 117 181 222 223 126 127 218 219 220 201 136 137 178 179 180 211 172 173 146 147 221 192 193 156 157 166 167 238 239 240 176 177 232 233 186 187 231 196 197 206 207 216 217 226 227 236 237:7 3 7 3 7 3 7 3 3 7 7 3 7 7 3 3 7 3 7 3 7 3 7 3,6 3 4 3 3 4 3 4 3 6 3 4 3 4 3 4 4 6 3 4 3 4 3 3 6 3 4 4 3 3 4 3> {(2, 188): 't3^-1', (2, 189): 't3^-1', (0, 57): 'tau2^-1', (0, 190): 't2^-1', (2, 187): 't3^-1', (2, 181): 'tau1^-1', (2, 182): 'tau1^-1', (0, 177): 'tau3', (2, 177): 'tau3*t1', (1, 119): 't2', (2, 179): 'tau3*t1', (2, 172): 'tau3', (1, 235): 'tau1', (2, 168): 'tau2*t3*tau1^-1', (2, 169): 'tau2*t3*tau1^-1', (1, 239): 't2^-1', (2, 171): 'tau3', (0, 187): 'tau1^-1', (1, 99): 'tau3^-1*t1^-1', (2, 167): 'tau2*t3*tau1^-1', (1, 229): 'tau1^-1*t3*tau2', (2, 161): 'tau2', (2, 162): 'tau2', (2, 148): 't1', (2, 149): 't1', (2, 150): 'tau1', (0, 150): 't3', (2, 147): 't1', (1, 79): 't1^-1', (0, 130): 'tau2^-1*t3^-1*tau1', (2, 128): 't2', (2, 129): 't2', (2, 130): 'tau2^-1', (1, 55): 'tau2^-1', (2, 178): 'tau3*t1', (1, 175): 'tau3', (2, 228): 't2', (2, 229): 't2', (0, 100): 't1', (2, 227): 't2', (0, 90): 'tau3^-1*t1^-1', (0, 170): 't2', (2, 217): 't2^-1', (2, 90): 'tau3^-1', (1, 209): 't3^-1'}