U-tiling: UQC5165
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2042 |
*22222 |
(4,6,2) |
{4,4,4,4} |
{12.12.12.12}{12.3.3.12}{12.12.3... |
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
|
|
sqc11125
|
|
I4122 |
98 |
tetragonal |
{4,4,4,4} |
24 |
(4,7) |
|
D
|
False
|
|
sqc4897
|
|
P4222 |
93 |
tetragonal |
{4,4,4,4} |
12 |
(4,6) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {12.12.12.12}{12.3.3.12}{12.12.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<13.4:192:25 3 5 7 9 11 120 37 15 17 19 21 23 96 27 29 31 33 35 144 39 41 43 45 47 132 73 51 53 55 57 59 168 97 63 65 67 69 71 156 75 77 79 81 83 192 121 87 89 91 93 95 99 101 103 105 107 180 133 111 113 115 117 119 123 125 127 129 131 135 137 139 141 143 169 147 149 151 153 155 181 159 161 163 165 167 171 173 175 177 179 183 185 187 189 191,2 4 12 8 11 10 14 16 24 20 23 22 26 28 36 32 35 34 38 40 48 44 47 46 50 52 60 56 59 58 62 64 72 68 71 70 74 76 84 80 83 82 86 88 96 92 95 94 98 100 108 104 107 106 110 112 120 116 119 118 122 124 132 128 131 130 134 136 144 140 143 142 146 148 156 152 155 154 158 160 168 164 167 166 170 172 180 176 179 178 182 184 192 188 191 190,13 26 27 6 7 32 33 58 59 60 38 39 18 19 44 45 70 71 72 37 30 31 82 83 84 42 43 106 107 108 85 74 75 54 55 80 81 109 98 99 66 67 104 105 121 78 79 122 123 90 91 128 129 154 155 156 133 102 103 134 135 114 115 140 141 166 167 168 126 127 178 179 180 138 139 190 191 192 157 170 171 150 151 176 177 182 183 162 163 188 189 181 174 175 186 187:12 3 12 3 3 3 12 3 12 3 3 3 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> {(2, 60): 't2', (2, 188): 't1^-1*tau3^-1*t2', (2, 190): 't1^-1', (2, 191): 't1^-1', (0, 60): 't2*tau3^-1', (2, 187): 't1^-1*tau3^-1*t2', (2, 180): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 181): 't1^-1*tau3^-1*t2', (0, 48): 't3*tau2', (2, 48): 't3', (0, 180): 'tau2^-1*t3^-1', (2, 44): 't1', (2, 45): 't1', (2, 46): 't1', (2, 47): 't1', (2, 169): 'tau2*t3', (2, 170): 'tau2*t3', (2, 43): 't1', (0, 35): 't1^-1', (2, 38): 't1', (2, 156): 'tau1', (2, 158): 't2^-1*tau3*t1', (2, 24): 't1^-1', (2, 141): 't1', (0, 144): 't2*tau3^-1*t1^-1', (2, 151): 't3^-1*tau2^-1', (2, 140): 'tau3^-1*t2', (2, 13): 't1^-1', (2, 139): 'tau3^-1*t2', (2, 132): 'tau3^-1', (2, 133): 'tau3^-1*t2', (0, 0): 't1', (2, 128): 'tau2*t3', (2, 127): 'tau2*t3', (2, 120): 'tau2', (2, 121): 'tau2*t3', (2, 122): 'tau2*t3', (2, 176): 'tau2*t3', (0, 107): 't1^-1', (2, 110): 't2^-1*tau3'}