U-tiling: UQC5747
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2332 |
*22222 |
(5,7,2) |
{4,4,4,4,4} |
{8.8.8.8}{8.8.8.8}{8.3.3.8}{8.8.... |
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) |
|
G
|
False
|
|
sqc11817
|
|
I4122 |
98 |
tetragonal |
{4,4,4,4,4} |
28 |
(5,8) |
|
D
|
False
|
|
sqc6465
|
|
P4222 |
93 |
tetragonal |
{4,4,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {4,4,4,4,4} |
| 2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.3:224:127 3 5 7 9 11 13 140 99 17 19 21 23 25 27 112 155 31 33 35 37 39 41 168 141 45 47 49 51 53 55 154 183 59 61 63 65 67 69 196 169 73 75 77 79 81 83 182 211 87 89 91 93 95 97 224 101 103 105 107 109 111 197 115 117 119 121 123 125 210 129 131 133 135 137 139 143 145 147 149 151 153 157 159 161 163 165 167 171 173 175 177 179 181 185 187 189 191 193 195 199 201 203 205 207 209 213 215 217 219 221 223,2 4 6 14 10 13 12 16 18 20 28 24 27 26 30 32 34 42 38 41 40 44 46 48 56 52 55 54 58 60 62 70 66 69 68 72 74 76 84 80 83 82 86 88 90 98 94 97 96 100 102 104 112 108 111 110 114 116 118 126 122 125 124 128 130 132 140 136 139 138 142 144 146 154 150 153 152 156 158 160 168 164 167 166 170 172 174 182 178 181 180 184 186 188 196 192 195 194 198 200 202 210 206 209 208 212 214 216 224 220 223 222,29 16 17 32 33 8 9 38 39 68 69 70 43 46 47 22 23 52 53 82 83 84 44 45 36 37 96 97 98 50 51 124 125 126 85 100 101 88 89 64 65 94 95 113 128 129 116 117 78 79 122 123 142 143 92 93 141 144 145 106 107 150 151 180 181 182 156 157 120 121 155 158 159 134 135 164 165 194 195 196 148 149 208 209 210 162 163 222 223 224 197 184 185 200 201 176 177 206 207 211 214 215 190 191 220 221 212 213 204 205 218 219:8 3 8 3 8 3 8 3 8 3 8 3 8 3 3 8 3 3 3 3 3 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 191): 't2^-1*tau3*t1', (2, 184): 'tau1', (2, 185): 't2^-1*tau3*t1', (2, 186): 't2^-1*tau3*t1', (2, 52): 't1', (2, 53): 't1', (2, 182): 't3*tau2', (2, 183): 'tau1', (2, 177): 't3^-1*tau2^-1', (2, 178): 't3^-1*tau2^-1', (2, 51): 't1', (2, 172): 't3^-1*tau2^-1', (2, 45): 't1', (2, 56): 't3*tau2', (0, 41): 't1^-1', (2, 168): 't2*tau3^-1*t1^-1', (2, 171): 't3^-1*tau2^-1', (2, 164): 'tau3^-1*t2', (2, 165): 't1', (2, 166): 't1', (2, 167): 't1', (2, 163): 'tau3^-1*t2', (2, 156): 'tau3^-1', (2, 157): 'tau3^-1*t2', (2, 158): 'tau3^-1*t2', (2, 58): 't3', (0, 28): 't1^-1', (2, 155): 'tau3^-1', (2, 149): 'tau2*t3', (2, 150): 'tau2*t3', (2, 144): 'tau2*t3', (2, 57): 't3', (2, 141): 'tau2', (2, 142): 'tau2', (2, 143): 'tau2*t3', (2, 128): 't2^-1', (2, 54): 't1', (2, 55): 't1', (0, 125): 't1^-1', (2, 112): 'tau3*t2^-1', (0, 112): 't1^-1', (2, 43): 't1', (2, 220): 't1^-1*tau3^-1*t2', (2, 44): 't1', (2, 212): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 0): 't1', (2, 46): 't1', (2, 211): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 127): 't2^-1'}