U-tiling: UQC178
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc164 |
*2223 |
(2,2,2) |
{3,4} |
{6.6.6}{6.6.6.6} |
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
|
|
sqc12293
|
ucp
|
Pm-3m |
221 |
cubic |
{3,4} |
36 |
(2,2) |
|
G
|
False
|
|
sqc12294
|
|
I4132 |
214 |
cubic |
{3,4} |
36 |
(2,3) |
|
D
|
False
|
|
sqc7390
|
|
P4232 |
208 |
cubic |
{4,3} |
18 |
(2,2) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.1:240:11 4 5 16 9 10 14 15 19 20 61 24 25 46 29 30 91 34 35 76 39 40 111 44 45 49 50 126 54 55 131 59 60 64 65 116 69 70 146 74 75 79 80 161 84 85 166 89 90 94 95 151 99 100 176 104 105 181 109 110 114 115 119 120 186 124 125 129 130 134 135 196 139 140 201 144 145 149 150 154 155 206 159 160 164 165 169 170 211 174 175 179 180 184 185 189 190 221 194 195 199 200 204 205 209 210 214 215 231 219 220 224 225 236 229 230 234 235 239 240,2 8 29 25 7 39 35 12 18 49 45 17 79 75 22 58 54 27 68 55 32 88 84 37 98 85 42 108 104 47 118 105 52 123 57 109 90 62 133 129 100 67 219 95 72 143 139 77 153 140 82 158 87 144 92 168 164 97 229 102 173 107 145 112 183 179 155 117 234 150 122 174 170 127 188 230 132 184 160 137 193 142 147 203 199 152 239 157 194 162 208 220 167 204 172 205 177 213 240 182 195 187 214 210 192 197 223 235 202 207 224 212 225 217 228 222 227 232 238 237,6 3 5 8 10 16 13 15 18 20 56 23 25 66 28 30 86 33 35 96 38 40 106 43 45 116 48 50 121 53 55 58 60 131 63 65 68 70 141 73 75 151 78 80 156 83 85 88 90 166 93 95 98 100 171 103 105 108 110 181 113 115 118 120 123 125 186 128 130 133 135 191 138 140 143 145 201 148 150 153 155 158 160 206 163 165 168 170 173 175 211 178 180 183 185 188 190 193 195 221 198 200 203 205 208 210 213 215 226 218 220 223 225 228 230 236 233 235 238 240:6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6,3 4 4 3 4 4 3 3 3 3 3 3 3 4 3 4 4 3 3 3 3 3 3 4 4 4 3 4 3 3 3 3 4 3 3 3> {(1, 213): 't3^-1', (1, 137): 'tau3', (2, 175): 'tau2^-1', (1, 218): 't3^-1', (0, 190): 't2^-1', (1, 209): 'tau1^-1', (1, 113): 't1', (1, 114): 'tau3^-1', (1, 232): 't3*tau1^-1', (0, 150): 't2', (2, 235): 'tau1*t3^-1', (1, 73): 't1', (0, 185): 't3', (1, 234): 'tau2^-1', (2, 195): 't1*tau3*t2^-1', (1, 97): 't2^-1', (1, 212): 'tau2', (1, 159): 't2', (0, 135): 't1^-1', (2, 215): 'tau1^-1', (1, 227): 'tau1', (1, 153): 't2', (1, 119): 'tau2^-1', (1, 122): 't3^-1', (0, 110): 't1', (2, 50): 't3', (1, 239): 't2^-1*tau3*t1', (0, 215): 't3^-1', (2, 35): 't2', (1, 193): 't2^-1', (1, 102): 'tau2^-1', (2, 170): 'tau2', (1, 74): 't1', (2, 190): 'tau3^-1', (1, 224): 'tau1^-1*t3', (2, 40): 't1^-1', (1, 94): 't3^-1', (1, 107): 't1', (1, 197): 't1*tau3*t2^-1', }