U-tiling: UQC5691
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2248 |
*2244 |
(5,6,2) |
{4,8,4,3,8} |
{7.7.7.7}{7.7.7.7.7.7.7.7}{7.3.3... |
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) |
|
G
|
False
|
|
sqc11460
|
|
I41/a |
88 |
tetragonal |
{4,8,4,3,8} |
24 |
(5,7) |
|
D
|
False
|
|
sqc11456
|
|
I41/amd |
141 |
tetragonal |
{4,8,4,3,8} |
24 |
(5,6) |
Topological data
| Vertex degrees | {4,8,4,3,8} |
| 2D vertex symbol | {7.7.7.7}{7.7.7.7.7.7.7.7}{7.3.3.7}{7.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<57.1:208:79 3 5 7 9 11 13 92 16 18 20 22 24 26 105 29 31 33 35 37 39 131 42 44 46 48 50 52 144 55 57 59 61 63 65 118 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 196 159 161 163 165 167 169 183 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 4 6 85 10 13 12 15 17 19 98 23 26 25 28 30 32 111 36 39 38 41 43 45 137 49 52 51 54 56 58 150 62 65 64 67 69 71 124 75 78 77 80 82 84 88 91 90 93 95 97 101 104 103 106 108 110 114 117 116 119 121 123 127 130 129 132 134 136 140 143 142 145 147 149 153 156 155 158 160 162 202 166 169 168 171 173 175 189 179 182 181 184 186 188 192 195 194 197 199 201 205 208 207,14 80 81 30 31 8 9 36 37 90 91 93 94 43 44 21 22 49 50 103 104 53 106 107 34 35 116 117 66 132 133 47 48 142 143 145 146 173 174 60 61 179 180 155 156 119 120 199 200 73 74 205 206 129 130 92 121 122 86 87 127 128 147 148 99 100 153 154 144 160 161 112 113 166 167 131 125 126 186 187 138 139 192 193 151 152 183 197 198 164 165 207 208 196 184 185 177 178 194 195 190 191 203 204:7 3 7 3 7 3 7 3 7 3 7 3 3 3 3 3 3 3 7 3 7 3 3 3,4 8 4 3 8 8 4 3 8 4 3 4 3 4 3 4 3 4 4 4 4 4 3 3> {(2, 15): 't1^-1', (2, 184): 't2*tau3^-1*t1^-1*tau2*t3', (2, 52): 't3^-1', (2, 53): 't3^-1*tau2^-1', (2, 54): 't3^-1*tau2^-1', (2, 183): 't2*tau3^-1*t1^-1*tau2*t3', (2, 40): 'tau3*t2^-1', (2, 169): 'tau1^-1', (2, 39): 't2', (2, 28): 'tau2^-1*t3^-1', (2, 157): 't3*tau2*t1^-1*tau3^-1*t2', (2, 158): 't3*tau2*t1^-1*tau3^-1*t2', (2, 27): 'tau2^-1*t3^-1', (2, 14): 't1^-1', (2, 143): 't3^-1', (2, 1): 't1^-1', (2, 2): 't1^-1', (2, 156): 'tau1', (2, 117): 't2^-1', (2, 118): 'tau3^-1*t2', (2, 119): 'tau3^-1*t2', (2, 41): 'tau3*t2^-1'}