U-tiling: UQC2176
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) |
|
P
|
False
|
|
sqc10567
|
|
P4/mmm |
123 |
tetragonal |
{5,3} |
24 |
(2,5) |
|
G
|
False
|
|
sqc10564
|
|
I4122 |
98 |
tetragonal |
{5,3,3} |
24 |
(3,6) |
|
D
|
False
|
|
sqc4618
|
|
P4222 |
93 |
tetragonal |
{5,3} |
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
<8.5:176:23 46 47 6 7 107 108 32 33 34 57 58 17 18 85 86 43 44 68 69 28 29 129 130 90 91 39 40 118 119 67 50 51 151 152 76 77 89 61 62 140 141 98 99 72 73 173 174 111 134 135 83 84 120 121 94 95 162 163 122 145 146 105 106 131 132 156 157 116 117 167 168 127 128 155 138 139 164 165 166 149 150 175 176 160 161 171 172,2 4 16 8 11 10 13 15 19 22 21 24 26 38 30 33 32 35 37 41 44 43 46 48 82 52 55 54 57 59 104 63 66 65 68 70 115 74 77 76 79 81 85 88 87 90 92 126 96 99 98 101 103 107 110 109 112 114 118 121 120 123 125 129 132 131 134 136 148 140 143 142 145 147 151 154 153 156 158 170 162 165 164 167 169 173 176 175,12 3 5 7 9 11 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 78 47 49 51 53 55 100 58 60 62 64 66 111 69 71 73 75 77 80 82 84 86 88 122 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 144 135 137 139 141 143 146 148 150 152 154 166 157 159 161 163 165 168 170 172 174 176:4 8 6 4 4 8 4 8 8 6 4 6 4 4 4 6,5 3 3 5 3 3 5 3 5 3 5 3 3 5 3 3 3 3 5 3 3 5 3 3> {(2, 33): 't1', (0, 167): 't1^-1', (0, 29): 't1^-1', (0, 31): 't1^-1', (0, 53): 't3*tau2', (1, 103): 't2^-1', (1, 81): 't3^-1', (1, 114): 'tau2', (0, 32): 't1^-1', (1, 147): 'tau1', (0, 161): 't1', (0, 121): 'tau3^-1*t2', (0, 34): 't1', (0, 35): 't1', (0, 162): 't1', (0, 164): 't1*tau3*t2^-1', (0, 154): 'tau2*t3', (0, 166): 't1^-1', (1, 37): 't1', (2, 121): 'tau3^-1', (2, 110): 'tau2', (0, 30): 't1^-1', (0, 77): 't3^-1*tau2^-1', (0, 33): 't1', (2, 44): 't3', (0, 97): 'tau3*t2^-1', (0, 141): 't2*tau3^-1*t1^-1', (0, 54): 't3*tau2', (2, 165): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 169): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 153): 't3*tau2', (2, 132): 'tau1^-1', (1, 125): 'tau3^-1', (0, 165): 't1^-1*tau3^-1*t2', (0, 174): 'tau2^-1*t3^-1', (2, 55): 't2', (0, 98): 'tau3*t2^-1', }