U-tiling: UQC5645
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2238 |
*22222 |
(5,6,2) |
{4,4,3,4,4} |
{10.10.10.10}{10.4.4.10}{10.4.4}... |
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
|
|
sqc11591
|
|
I4122 |
98 |
tetragonal |
{4,4,3,4,4} |
28 |
(5,7) |
Topological data
| Vertex degrees | {4,4,3,4,4} |
| 2D vertex symbol | {10.10.10.10}{10.4.4.10}{10.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.5:208:14 3 5 7 9 11 13 16 18 20 22 24 26 40 29 31 33 35 37 39 42 44 46 48 50 52 92 55 57 59 61 63 65 118 68 70 72 74 76 78 131 81 83 85 87 89 91 94 96 98 100 102 104 144 107 109 111 113 115 117 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 170 159 161 163 165 167 169 172 174 176 178 180 182 196 185 187 189 191 193 195 198 200 202 204 206 208,2 4 31 8 13 10 12 15 17 44 21 26 23 25 28 30 34 39 36 38 41 43 47 52 49 51 54 56 83 60 65 62 64 67 69 109 73 78 75 77 80 82 86 91 88 90 93 95 135 99 104 101 103 106 108 112 117 114 116 119 121 148 125 130 127 129 132 134 138 143 140 142 145 147 151 156 153 155 158 160 187 164 169 166 168 171 173 200 177 182 179 181 184 186 190 195 192 194 197 199 203 208 205 207,27 54 55 6 7 60 61 127 128 38 39 40 67 68 19 20 73 74 101 102 51 52 80 81 32 33 86 87 153 154 106 107 45 46 112 113 140 141 79 58 59 179 180 90 91 105 71 72 166 167 116 117 84 85 205 206 131 158 159 97 98 164 165 142 143 110 111 192 193 144 171 172 123 124 177 178 155 156 184 185 136 137 190 191 197 198 149 150 203 204 183 162 163 194 195 196 175 176 207 208 188 189 201 202:10 4 4 4 4 10 4 10 4 4 4 4 4 4 4 10 4 4 4 4,4 4 3 4 4 4 4 3 4 4 4 4 4 4 3 4 3 4 4 4 3 4 4 3 4 4 3 3> {(2, 63): 't3*tau2', (2, 180): 't3*tau2', (2, 181): 't3*tau2', (2, 182): 'tau2*t3', (0, 182): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 52): 't3', (2, 46): 't1', (2, 47): 't1', (2, 40): 't1', (2, 41): 't1', (2, 36): 't1^-1', (2, 37): 't1^-1', (2, 38): 't1^-1', (2, 39): 't1', (0, 39): 't1', (2, 35): 't1^-1', (2, 151): 't1', (2, 167): 't2*tau3^-1*t1^-1', (0, 156): 'tau1^-1', (2, 150): 't1', (1, 82): 'tau2^-1*t3^-1', (2, 144): 't1', (2, 145): 't1', (2, 143): 'tau3^-1*t2', (0, 143): 'tau3^-1', (0, 130): 'tau2', (1, 69): 't2*tau3^-1', (1, 199): 'tau2^-1*t3^-1', (1, 186): 't1*tau3*t2^-1', (2, 116): 'tau3*t2^-1', (2, 113): 't1^-1', (2, 114): 't1^-1', (0, 117): 't2^-1', (2, 90): 'tau2^-1*t3^-1', (2, 91): 't3^-1*tau2^-1', (1, 30): 't1^-1', (2, 76): 't2*tau3^-1', (2, 168): 't2*tau3^-1*t1^-1', (2, 195): 't1^-1*tau3^-1*t2'}