U-tiling: UQC2457
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1680 |
*2244 |
(2,5,5) |
{6,5} |
{4.8.3.3.3.8}{3.3.4.4.3} |
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
|
|
sqc4105
|
|
P4/mmm |
123 |
tetragonal |
{5,6} |
8 |
(2,5) |
|
G
|
False
|
|
sqc10134
|
|
I41/a |
88 |
tetragonal |
{5,6} |
16 |
(2,6) |
|
D
|
False
|
|
sqc10130
|
|
I41/amd |
141 |
tetragonal |
{5,6} |
16 |
(2,5) |
Topological data
| Vertex degrees | {6,5} |
| 2D vertex symbol | {4.8.3.3.3.8}{3.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<116.1:176:12 68 69 6 7 74 75 32 33 79 80 17 18 85 86 43 44 45 90 91 28 29 96 97 56 112 113 39 40 118 119 123 124 50 51 129 130 153 154 101 102 61 62 107 108 175 176 78 72 73 109 110 83 84 131 132 122 94 95 142 143 111 105 106 116 117 164 165 127 128 155 167 168 138 139 173 174 166 156 157 149 150 162 163 160 161 171 172,2 4 71 72 8 10 77 13 15 82 83 19 21 88 24 26 93 94 30 32 99 35 37 115 116 41 43 121 46 48 126 127 52 54 132 57 59 104 105 63 65 110 68 70 74 76 79 81 85 87 90 92 96 98 101 103 107 109 112 114 118 120 123 125 129 131 134 136 170 171 140 142 176 145 147 159 160 151 153 165 156 158 162 164 167 169 173 175,67 3 5 7 9 11 78 14 16 18 20 22 89 25 27 29 31 33 111 36 38 40 42 44 122 47 49 51 53 55 100 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 166 135 137 139 141 143 155 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 3 3 8 4 3 3 8 4 4 3 3 4 3 3 3 3 3 3 4 3 3 3 3,5 6 5 6 5 6 5 6 5 6 5 6 5 6 5 6> {(0, 167): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 54): 't3^-1*tau2^-1', (0, 121): 't3^-1', (1, 87): 't1', (1, 93): 't3*tau2', (1, 71): 't1', (0, 1): 't1^-1', (0, 55): 't2^-1', (0, 45): 't3^-1*tau2^-1', (0, 110): 't2', (0, 12): 't1^-1', (0, 57): 't2^-1*tau3', (0, 34): 'tau3*t2^-1', (0, 24): 'tau2^-1*t3^-1', (1, 126): 'tau2*t3', (1, 32): 'tau2^-1*t3^-1', (1, 148): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 154): 'tau1^-1', (1, 82): 't1', (1, 120): 't2*tau3^-1', (0, 166): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 156): 't2*tau3^-1*t1^-1*tau2*t3', (1, 76): 't1', (1, 109): 'tau3^-1*t2', (1, 164): 't2*tau3^-1*t1^-1*tau2*t3', (1, 175): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 23): 'tau2^-1*t3^-1', (0, 13): 't1^-1', (1, 115): 't2*tau3^-1', (0, 35): 'tau3*t2^-1', (0, 44): 't3^-1', (0, 2): 't1^-1', (0, 56): 't2^-1*tau3', (0, 165): 'tau1', (0, 46): 't3^-1*tau2^-1', (0, 155): 't2*tau3^-1*t1^-1*tau2*t3', (1, 60): 't2^-1*tau3', (1, 137): 't3*tau2*t1^-1*tau3^-1*t2', }