U-tiling: UQC110
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc112 |
*2223 |
(2,3,2) |
{8,3} |
{4.3.3.4.4.3.3.4}{3.3.3} |
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
|
|
sqc12147
|
|
Pm-3m |
221 |
cubic |
{8,3} |
20 |
(2,3) |
|
G
|
False
|
|
sqc12129
|
|
I4132 |
214 |
cubic |
{8,3} |
20 |
(2,3) |
|
D
|
False
|
|
sqc7247
|
|
P4232 |
208 |
cubic |
{3,8} |
10 |
(2,3) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.3.3.4.4.3.3.4}{3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:240:11 7 8 5 16 10 17 18 15 20 61 57 58 25 46 67 68 30 91 87 88 35 76 97 98 40 111 107 108 45 117 118 50 126 122 123 55 131 60 132 133 65 116 70 146 142 143 75 152 153 80 161 157 158 85 166 90 167 168 95 151 100 176 172 173 105 181 110 182 183 115 120 186 125 187 188 130 135 196 192 193 140 201 145 202 203 150 155 206 160 207 208 165 170 211 175 212 213 180 185 190 221 195 222 223 200 205 210 215 231 227 228 220 225 236 230 237 238 235 240,2 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 99 102 104 175 107 109 112 114 185 117 119 122 124 127 129 190 132 134 137 139 195 142 144 147 149 205 152 154 157 159 162 164 210 167 169 172 174 177 179 215 182 184 187 189 192 194 197 199 225 202 204 207 209 212 214 217 219 230 222 224 227 229 232 234 240 237 239,26 3 24 25 36 8 34 35 46 13 44 45 76 18 74 75 51 23 28 54 55 81 33 38 84 85 101 43 48 104 105 53 106 58 89 90 126 63 99 100 216 68 94 95 136 73 78 139 140 83 141 88 161 93 226 98 103 108 144 145 176 113 154 155 231 118 149 150 171 123 169 170 128 229 230 181 133 159 160 138 143 196 148 236 153 191 158 163 219 220 201 168 173 204 205 178 239 240 183 194 195 211 188 209 210 193 198 234 235 203 221 208 213 224 225 218 223 228 233 238:4 3 3 4 3 4 3 4 3 4 3 4 3 3 4 3 3 4 3 3 4 3 3 4 3 3 3 4 3 3 3 3 3 4 3 3,8 3 8 8 3 8 3 3 3 8 8 8 3 8 8 8 3 8 3 8> {(2, 188): 'tau1', (2, 189): 'tau1', (2, 190): 't2^-1', (0, 190): 't2^-1', (2, 185): 't3', (0, 51): 't3', (0, 176): 'tau2^-1', (0, 177): 'tau2^-1', (0, 52): 't3', (2, 179): 't1^-1*tau3^-1*t2', (0, 42): 't1^-1', (1, 104): 'tau2^-1', (0, 40): 't1^-1', (0, 41): 't1^-1', (1, 109): 't1', (1, 224): 't2*tau3^-1*t1^-1', (1, 99): 't2^-1', (1, 214): 'tau2', (1, 229): 'tau1', (0, 36): 't2', (0, 37): 't2', (2, 158): 't2', (2, 159): 't2', (2, 153): 'tau3', (2, 154): 'tau3', (2, 148): 'tau2', (2, 149): 'tau2', (2, 150): 't2', (2, 18): 't1^-1', (2, 19): 't1^-1', (0, 137): 'tau3', (2, 135): 't1^-1', (0, 135): 't1^-1', (0, 120): 't3^-1', (1, 234): 't3*tau1^-1', (0, 191): 'tau3^-1', (0, 230): 't3', (1, 54): 't3', (2, 238): 't2^-1*tau3*t1', (2, 234): 'tau2^-1', (0, 237): 'tau1*t3^-1', (0, 226): 'tau1', (0, 227): 'tau1', (0, 102): 'tau2^-1', (0, 101): 'tau2^-1', (2, 93): 't3^-1', (2, 94): 't3^-1', (2, 223): 'tau1^-1*t3', (0, 222): 't2*tau3^-1*t1^-1', (0, 95): 't2^-1', (0, 221): 't2*tau3^-1*t1^-1', (2, 214): 't3^-1*tau1', (2, 215): 't3^-1', (2, 175): 't1^-1', (1, 194): 'tau3^-1', (2, 198): 'tau2', (0, 236): 'tau1*t3^-1'}