U-tiling: UQC183
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc167 |
*2223 |
(2,2,2) |
{3,4} |
{9.4.9}{9.4.9.4} |
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
|
|
sqc12288
|
|
Pm-3m |
221 |
cubic |
{3,4} |
36 |
(2,2) |
|
G
|
False
|
|
sqc12287
|
|
I4132 |
214 |
cubic |
{3,4} |
36 |
(2,3) |
|
D
|
False
|
|
sqc7388
|
xbl
|
Pm-3n |
223 |
cubic |
{4,3} |
18 |
(2,2) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {9.4.9}{9.4.9.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.1:240:21 4 5 31 9 10 41 14 15 71 19 20 24 25 51 29 30 34 35 81 39 40 44 45 101 49 50 54 55 86 59 60 96 64 65 91 69 70 74 75 136 79 80 84 85 89 90 94 95 99 100 104 105 141 109 110 151 114 115 146 119 120 166 124 125 226 129 130 156 134 135 139 140 144 145 149 150 154 155 159 160 216 164 165 169 170 201 174 175 236 179 180 191 184 185 206 189 190 194 195 231 199 200 204 205 209 210 221 214 215 219 220 224 225 229 230 234 235 239 240,2 28 9 15 7 38 20 12 48 19 17 78 22 53 59 65 27 69 50 32 83 89 95 37 99 80 42 103 109 115 47 119 52 124 130 57 108 135 62 128 134 67 218 120 72 138 144 150 77 154 82 159 165 87 143 170 92 163 169 97 228 155 102 174 180 107 185 112 178 184 117 233 122 173 190 127 189 132 183 137 194 200 142 205 147 198 204 152 238 157 193 210 162 209 167 203 172 215 177 214 182 187 213 192 225 197 224 202 207 223 212 217 229 235 222 227 240 232 239 237,26 3 5 36 8 10 46 13 15 76 18 20 51 23 25 28 30 81 33 35 38 40 101 43 45 48 50 53 55 106 58 60 126 63 65 216 68 70 136 73 75 78 80 83 85 141 88 90 161 93 95 226 98 100 103 105 108 110 176 113 115 231 118 120 171 123 125 128 130 181 133 135 138 140 143 145 196 148 150 236 153 155 191 158 160 163 165 201 168 170 173 175 178 180 183 185 211 188 190 193 195 198 200 203 205 221 208 210 213 215 218 220 223 225 228 230 233 235 238 240:9 4 4 9 4 9 4 9 4 9 4 4 4 9 4 4 4 9 4 9,3 4 3 3 3 3 4 4 3 4 4 3 4 4 3 3 3 3 4 4 3 3 3 4 3 3 3 3 4 3 3 3 3 3 3 4> {(1, 98): 't2^-1', (2, 150): 't2', (0, 185): 'tau1', (2, 175): 't1^-1', (1, 213): 'tau2', (0, 145): 'tau2', (1, 112): 't1', (1, 123): 't3^-1', (2, 135): 't1^-1', (1, 114): 't1', (1, 138): 'tau3', (0, 195): 'tau2', (0, 150): 'tau3', (0, 220): 'tau1^-1*t3', (1, 124): 't3^-1', (1, 103): 'tau2^-1', (0, 175): 't1^-1*tau3^-1*t2', (1, 192): 't2^-1', (1, 139): 't1^-1', (1, 212): 't3^-1', (1, 223): 't2*tau3^-1*t1^-1', (2, 215): 't3^-1', (1, 99): 't2^-1', (1, 217): 't3^-1', (2, 185): 't3', (1, 237): 't2^-1', (0, 90): 't3^-1', (1, 219): 't3^-1', (1, 228): 'tau1', (1, 72): 't1', (1, 233): 't3*tau1^-1', (0, 15): 't1^-1', (2, 190): 't2^-1', (1, 224): 't2', (1, 43): 't1^-1', (0, 155): 't2', }