U-tiling: UQC2167
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1710 |
*22222 |
(2,5,4) |
{3,5} |
{4.8.6}{6.8.4.4.8} |
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
|
|
sqc10156
|
|
I4122 |
98 |
tetragonal |
{5,3,3} |
24 |
(3,6) |
|
D
|
False
|
|
sqc4160
|
|
P4222 |
93 |
tetragonal |
{3,5} |
12 |
(2,5) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {4.8.6}{6.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.4:176:12 24 25 6 7 52 53 109 110 35 36 17 18 63 64 87 88 34 28 29 74 75 131 132 39 40 96 97 120 121 78 68 69 50 51 153 154 100 90 91 61 62 142 143 111 72 73 175 176 112 113 83 84 140 141 122 94 95 164 165 123 124 105 106 151 152 116 117 162 163 127 128 173 174 144 156 157 138 139 167 168 149 150 166 160 161 171 172,2 4 27 8 11 10 13 15 38 19 22 21 24 26 30 33 32 35 37 41 44 43 46 48 71 52 55 54 57 59 93 63 66 65 68 70 74 77 76 79 81 115 85 88 87 90 92 96 99 98 101 103 126 107 110 109 112 114 118 121 120 123 125 129 132 131 134 136 159 140 143 142 145 147 170 151 154 153 156 158 162 165 164 167 169 173 176 175,23 3 5 7 9 11 34 14 16 18 20 22 25 27 29 31 33 36 38 40 42 44 67 47 49 51 53 55 89 58 60 62 64 66 69 71 73 75 77 111 80 82 84 86 88 91 93 95 97 99 122 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 155 135 137 139 141 143 166 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 8 6 4 8 6 4 4 4 4 6 4 6 8 8 4,5 3 5 3 3 3 5 3 5 3 3 5 3 3 5 3 3 3 5 3 5 3 3 3> {(0, 167): 't1^-1*tau3^-1*t2', (2, 22): 't1^-1', (0, 134): 't3^-1*tau2^-1', (0, 41): 't1', (1, 169): 'tau2^-1*t3^-1', (0, 31): 't1^-1', (1, 48): 't3*tau2', (0, 55): 't2', (0, 32): 't1^-1', (0, 173): 't1^-1', (0, 97): 't1^-1', (0, 121): 'tau3^-1', (0, 34): 't1', (0, 111): 'tau2*t3', (1, 26): 't1^-1', (0, 123): 'tau3^-1*t2', (0, 164): 't1', (0, 112): 'tau2*t3', (0, 166): 't1^-1*tau3^-1*t2', (2, 154): 't1*tau3*t2^-1', (2, 143): 't3*tau2', (0, 40): 't1', (0, 33): 't1', (2, 44): 't3*tau2', (0, 128): 't1', (1, 136): 't2*tau3^-1*t1^-1', (0, 35): 't1', (0, 44): 't3', (1, 92): 'tau3*t2^-1', (0, 143): 'tau1', (0, 165): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 110): 'tau2', (0, 155): 'tau2*t3', (2, 55): 't2*tau3^-1', (0, 122): 'tau3^-1*t2', }