U-tiling: UQC5163
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2041 |
*2244 |
(4,6,2) |
{8,4,4,8} |
{6.6.6.6.6.6.6.6}{6.3.3.6}{6.6.3... |
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) |
|
P
|
False
|
|
sqc10753
|
|
P4/nmm |
129 |
tetragonal |
{8,4,4,8} |
20 |
(4,6) |
|
G
|
False
|
|
sqc10727
|
|
I41/a |
88 |
tetragonal |
{8,4,4,8} |
20 |
(4,7) |
|
D
|
False
|
|
sqc10729
|
|
I41/amd |
141 |
tetragonal |
{8,4,4,8} |
20 |
(4,6) |
Topological data
| Vertex degrees | {8,4,4,8} |
| 2D vertex symbol | {6.6.6.6.6.6.6.6}{6.3.3.6}{6.6.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<36.1:192:13 3 5 7 9 11 24 15 17 19 21 23 49 27 29 31 33 35 60 61 39 41 43 45 47 72 51 53 55 57 59 63 65 67 69 71 85 75 77 79 81 83 96 87 89 91 93 95 133 99 101 103 105 107 144 121 111 113 115 117 119 132 123 125 127 129 131 135 137 139 141 143 169 147 149 151 153 155 180 181 159 161 163 165 167 192 171 173 175 177 179 183 185 187 189 191,2 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 98 100 108 104 107 106 110 112 120 116 119 118 122 124 132 128 131 130 134 136 144 140 143 142 146 148 156 152 155 154 158 160 168 164 167 166 170 172 180 176 179 178 182 184 192 188 191 190,73 26 27 6 7 32 33 82 83 84 85 38 39 18 19 44 45 94 95 96 97 30 31 106 107 108 121 42 43 130 131 132 133 158 159 54 55 164 165 142 143 144 109 182 183 66 67 188 189 118 119 120 110 111 78 79 116 117 134 135 90 91 140 141 146 147 102 103 152 153 114 115 170 171 126 127 176 177 138 139 181 150 151 190 191 192 169 162 163 178 179 180 174 175 186 187:6 3 3 6 3 6 3 3 3 6 3 3 6 3 6 3 3 3 6 3 6 3 3 3,8 4 4 8 8 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2^-1*tau3', (0, 59): 't3^-1', (0, 120): 't2', (2, 24): 'tau2^-1*t3^-1', (0, 191): 'tau1', (0, 60): 't2^-1', (2, 180): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 179): 'tau1^-1', (0, 48): 't3^-1', (2, 48): 't3^-1*tau2^-1', (0, 180): 'tau1', (2, 12): 't1^-1', (0, 168): 'tau1^-1', (2, 168): 't2*tau3^-1*t1^-1*tau2*t3', (0, 47): 't2', (2, 36): 'tau3*t2^-1', (0, 131): 't2', (2, 0): 't1^-1', (0, 132): 't3^-1', (0, 143): 't3^-1'}