U-tiling: UQC5291
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1881 |
*2323 |
(5,5,2) |
{6,4,3,3,3} |
{7.7.7.7.7.7}{7.7.7.7}{7.4.7}{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
|
|
sqc12529
|
|
P4232 |
208 |
cubic |
{6,4,3,3,3} |
38 |
(5,5) |
|
G
|
False
|
|
sqc12527
|
|
I213 |
199 |
cubic |
{6,4,3,3,3} |
38 |
(5,6) |
|
D
|
False
|
|
sqc12521
|
|
F-43m |
216 |
cubic |
{6,4,3,3,3} |
38 |
(5,5) |
Topological data
| Vertex degrees | {6,4,3,3,3} |
| 2D vertex symbol | {7.7.7.7.7.7}{7.7.7.7}{7.4.7}{7.4.4}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<63.1:264:34 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 4 6 40 85 10 88 13 15 17 62 173 21 176 24 26 28 139 129 32 132 35 37 39 162 43 165 46 48 50 205 228 54 231 57 59 61 206 65 209 68 70 72 238 217 76 220 79 81 83 117 87 90 92 94 161 118 98 121 101 103 105 183 250 109 253 112 114 116 120 123 125 127 216 131 134 136 138 239 142 242 145 147 149 249 195 153 198 156 158 160 164 167 169 171 227 175 178 180 182 261 186 264 189 191 193 260 197 200 202 204 208 211 213 215 219 222 224 226 230 233 235 237 241 244 246 248 252 255 257 259 263,12 24 25 81 82 8 9 43 44 68 69 169 170 19 20 65 66 45 125 126 30 31 142 143 56 145 146 158 159 41 42 90 91 224 225 52 53 208 209 178 179 202 203 63 64 89 213 214 74 75 241 242 100 123 124 85 86 120 121 114 115 96 97 164 165 233 234 246 247 107 108 186 187 177 222 223 118 119 188 129 130 219 220 199 244 245 235 236 140 141 221 191 192 151 152 252 253 232 189 190 162 163 243 211 212 173 174 230 231 257 258 184 185 195 196 263 264 255 256 206 207 254 217 218 228 229 239 240 250 251 261 262:7 4 7 4 7 4 4 7 4 4 7 4 7 7 4 7 4 7 4 7 4 7 4 7,6 4 3 3 3 4 3 3 3 3 3 3 6 4 3 4 3 3 4 3 3 3 6 3 3 3 4 3 3 3 3 6 3 3 3 3 3 3> {(2, 188): 'tau3', (2, 189): 'tau3', (2, 190): 'tau3*t1', (2, 191): 'tau3*t1', (2, 185): 't1*tau3', (1, 127): 't2', (0, 187): 't2', (2, 180): 'tau2*t3*tau1^-1', (1, 116): 't1', (2, 178): 'tau2', (2, 179): 'tau2*t3*tau1^-1', (1, 105): 'tau3^-1*t1^-1', (2, 174): 't3', (1, 106): 't2^-1', (1, 109): 't2^-1', (1, 238): 't2^-1', (2, 165): 'tau1', (1, 226): 't3^-1', (0, 165): 't3', (2, 157): 't1', (2, 158): 't1', (2, 152): 'tau2^-1*t3^-1*tau1', (2, 153): 'tau2^-1*t3^-1*tau1', (1, 241): 't2^-1', (2, 143): 'tau2^-1', (2, 136): 't2', (0, 143): 'tau2^-1*t3^-1*tau1', (1, 65): 't3', (1, 205): 't3^-1', (2, 135): 't2', (1, 197): 'tau3*t1', (2, 130): 't2', (2, 131): 't2', (2, 254): 'tau1', (0, 121): 't2', (2, 120): 't1', (2, 245): 't2', (2, 246): 't2', (2, 119): 't1', (1, 183): 'tau2*t3*tau1^-1', (2, 177): 'tau2', (1, 193): 't2', (1, 40): 't1^-1', (1, 43): 't1^-1', (0, 110): 't1', (0, 99): 'tau3^-1*t1^-1', (2, 230): 't3^-1', (2, 99): 'tau3^-1', (1, 194): 'tau3*t1', (1, 186): 'tau2*t3*tau1^-1', (2, 109): 'tau3^-1*t1^-1', (1, 149): 'tau2^-1*t3^-1*tau1', (2, 200): 'tau1^-1', (2, 201): 't3^-1', (2, 202): 't3^-1', (2, 196): 't2', (2, 197): 't2'}