U-tiling: UQC115
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc115 |
*2223 |
(2,3,2) |
{4,3} |
{4.6.6.4}{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
|
|
sqc12267
|
|
Pm-3m |
221 |
cubic |
{4,3} |
32 |
(2,3) |
|
G
|
False
|
|
sqc12266
|
|
I4132 |
214 |
cubic |
{4,3} |
32 |
(2,3) |
|
D
|
False
|
|
sqc7344
|
|
P4232 |
208 |
cubic |
{4,3} |
16 |
(2,3) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {4.6.6.4}{6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:240:26 12 13 5 36 17 18 10 46 15 76 20 51 62 63 25 47 48 30 81 92 93 35 77 78 40 101 112 113 45 50 127 128 55 106 132 133 60 126 65 216 117 118 70 136 147 148 75 80 162 163 85 141 167 168 90 161 95 226 152 153 100 177 178 105 182 183 110 176 115 231 120 171 187 188 125 130 181 135 197 198 140 202 203 145 196 150 236 155 191 207 208 160 165 201 170 212 213 175 180 185 211 190 222 223 195 200 205 221 210 215 232 233 220 225 237 238 230 235 240,2 4 10 7 9 12 14 20 17 19 22 24 60 27 29 70 32 34 90 37 39 100 42 44 110 47 49 120 52 54 125 57 59 62 64 135 67 69 72 74 145 77 79 155 82 84 160 87 89 92 94 170 97 99 102 104 175 107 109 112 114 185 117 119 122 124 127 129 190 132 134 137 139 195 142 144 147 149 205 152 154 157 159 162 164 210 167 169 172 174 177 179 215 182 184 187 189 192 194 197 199 225 202 204 207 209 212 214 217 219 230 222 224 227 229 232 234 240 237 239,21 3 24 25 31 8 34 35 41 13 44 45 71 18 74 75 23 51 28 54 55 33 81 38 84 85 43 101 48 104 105 53 86 58 89 90 96 63 99 100 91 68 94 95 73 136 78 139 140 83 88 93 98 103 141 108 144 145 151 113 154 155 146 118 149 150 166 123 169 170 226 128 229 230 156 133 159 160 138 143 148 153 158 216 163 219 220 168 201 173 204 205 236 178 239 240 191 183 194 195 206 188 209 210 193 231 198 234 235 203 208 221 213 224 225 218 223 228 233 238:4 6 4 4 6 6 4 6 6 4 6 6 4 4 4 6 6 4 4 6 4 6 4 6,4 3 4 4 3 4 4 3 4 3 4 3 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4> {(2, 188): 'tau1', (2, 189): 'tau1', (0, 185): 't3', (0, 190): 't2^-1', (2, 185): 'tau1', (2, 178): 't1^-1*tau3^-1*t2', (2, 179): 't1^-1*tau3^-1*t2', (0, 42): 't1^-1', (1, 104): 'tau2^-1', (0, 41): 't1^-1', (1, 109): 't1', (2, 15): 't1^-1', (1, 224): 't2*tau3^-1*t1^-1', (1, 99): 't2^-1', (1, 214): 'tau2', (1, 229): 'tau1', (0, 96): 't2^-1', (1, 124): 't3^-1', (2, 158): 't2', (2, 159): 't2', (2, 153): 'tau3', (2, 154): 'tau3', (2, 155): 't2', (2, 148): 'tau2', (2, 149): 'tau2', (2, 150): 'tau3', (0, 150): 't2', (2, 145): 'tau2', (2, 18): 't1^-1', (2, 19): 't1^-1', (0, 136): 't1^-1', (0, 137): 't1^-1', (1, 194): 'tau3^-1', (0, 135): 't1^-1', (0, 122): 't3^-1', (0, 121): 't3^-1', (0, 191): 't2^-1', (0, 232): 't3', (0, 110): 't1', (2, 234): 'tau2^-1', (2, 235): 't2^-1*tau3*t1', (2, 230): 'tau2^-1', (0, 97): 't2^-1', (2, 224): 'tau1^-1*t3', (0, 231): 't3', (2, 220): 'tau1^-1*t3', (2, 93): 't3^-1', (2, 223): 'tau1^-1*t3', (0, 222): 't2', (2, 90): 't3^-1', (1, 234): 't3*tau1^-1', (2, 69): 't3', (2, 198): 'tau2', (0, 65): 't3'}