U-tiling: UQC4457
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1455 |
*2323 |
(4,5,2) |
{4,3,6,3} |
{3.7.7.3}{3.7.7}{7.7.7.7.7.7}{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
|
|
sqc12199
|
|
P4232 |
208 |
cubic |
{4,3,6,3} |
32 |
(4,5) |
|
G
|
False
|
|
sqc12190
|
|
I213 |
199 |
cubic |
{4,3,6,3} |
32 |
(4,6) |
|
D
|
False
|
|
sqc12160
|
|
F-43m |
216 |
cubic |
{4,3,6,3} |
32 |
(4,5) |
Topological data
| Vertex degrees | {4,3,6,3} |
| 2D vertex symbol | {3.7.7.3}{3.7.7}{7.7.7.7.7.7}{7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<54.1:240:31 3 5 7 78 10 51 13 15 17 158 20 121 23 25 27 118 30 33 35 37 148 40 181 43 45 47 208 50 53 55 57 188 60 211 63 65 67 198 70 101 73 75 77 80 141 83 85 87 108 90 161 93 95 97 228 100 103 105 107 110 191 113 115 117 120 123 125 127 218 130 221 133 135 137 178 140 143 145 147 150 201 153 155 157 160 163 165 167 238 170 231 173 175 177 180 183 185 187 190 193 195 197 200 203 205 207 210 213 215 217 220 223 225 227 230 233 235 237 240,2 33 6 9 8 80 12 53 16 19 18 160 22 123 26 29 28 120 32 36 39 38 150 42 183 46 49 48 210 52 56 59 58 190 62 213 66 69 68 200 72 103 76 79 78 82 143 86 89 88 110 92 163 96 99 98 230 102 106 109 108 112 193 116 119 118 122 126 129 128 220 132 223 136 139 138 180 142 146 149 148 152 203 156 159 158 162 166 169 168 240 172 233 176 179 178 182 186 189 188 192 196 199 198 202 206 209 208 212 216 219 218 222 226 229 228 232 236 239 238,11 4 5 16 17 28 39 40 14 15 68 59 60 41 24 25 46 47 129 130 51 34 35 56 57 138 44 45 88 189 190 54 55 168 81 64 65 86 87 219 220 91 74 75 96 97 118 109 110 84 85 149 150 94 95 218 169 170 161 104 105 166 167 208 171 114 115 176 177 199 200 181 124 125 186 187 228 201 134 135 206 207 229 230 211 144 145 216 217 178 221 154 155 226 227 198 209 210 164 165 174 175 239 240 184 185 238 231 194 195 236 237 204 205 214 215 224 225 234 235:3 7 3 7 3 7 7 3 7 7 3 7 3 3 7 3 7 3 7 3 7 3 7 3,4 3 6 3 3 3 4 3 3 4 6 3 4 3 4 3 6 3 3 3 4 4 3 4 6 4 3 4 4 3 3 4> {(0, 57): 't3', (2, 187): 'tau1^-1', (1, 112): 't2', (0, 177): 'tau3*t1', (2, 177): 'tau3', (2, 178): 't2', (2, 179): 't2', (0, 170): 't2', (1, 232): 't2^-1', (2, 168): 't1*tau3', (2, 169): 't1*tau3', (1, 239): 'tau1*t3^-1*tau2^-1', (1, 99): 't2^-1', (2, 167): 'tau2', (0, 167): 'tau2*t3*tau1^-1', (0, 37): 't1^-1', (2, 156): 'tau1', (2, 158): 't3', (2, 159): 't3', (1, 92): 'tau3^-1*t1^-1', (2, 155): 'tau1', (2, 150): 'tau1', (0, 150): 't3', (1, 72): 't1^-1', (1, 202): 't3^-1', (2, 136): 'tau2^-1', (2, 138): 'tau2^-1*t3^-1*tau1', (2, 139): 'tau2^-1*t3^-1*tau1', (0, 130): 'tau2^-1*t3^-1*tau1', (2, 135): 'tau2^-1', (2, 130): 'tau2^-1', (1, 59): 't3', (0, 127): 't2', (1, 179): 'tau3*t1', (1, 219): 't2^-1', (2, 109): 't1', (0, 110): 't2', (0, 97): 't2^-1', (2, 70): 'tau3', (1, 39): 't1^-1', (0, 90): 'tau3^-1*t1^-1', (1, 222): 'tau1^-1*t3*tau2', (2, 76): 'tau3', (2, 78): 't1^-1', (2, 75): 'tau3', (2, 198): 't2^-1', (2, 199): 't2^-1', (0, 70): 't1^-1'}