U-tiling: UQC2174
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
|
|
sqc10562
|
|
I4122 |
98 |
tetragonal |
{5,3,3} |
24 |
(3,6) |
|
D
|
False
|
|
sqc4617
|
|
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
<8.3:176:23 13 14 6 7 30 31 54 55 34 17 18 41 42 65 66 35 36 28 29 76 77 39 40 98 99 67 79 80 50 51 74 75 89 101 102 61 62 96 97 112 113 72 73 111 83 84 118 119 142 143 123 124 94 95 122 105 106 129 130 153 154 116 117 164 165 127 128 175 176 155 145 146 138 139 162 163 166 149 150 173 174 167 168 160 161 171 172,2 4 104 8 11 10 13 15 82 19 22 21 24 26 126 30 33 32 35 37 115 41 44 43 46 48 148 52 55 54 57 59 137 63 66 65 68 70 170 74 77 76 79 81 85 88 87 90 92 159 96 99 98 101 103 107 110 109 112 114 118 121 120 123 125 129 132 131 134 136 140 143 142 145 147 151 154 153 156 158 162 165 164 167 169 173 176 175,100 3 5 7 9 11 78 14 16 18 20 22 122 25 27 29 31 33 111 36 38 40 42 44 144 47 49 51 53 55 133 58 60 62 64 66 166 69 71 73 75 77 80 82 84 86 88 155 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 8 6 4 6 4 6 6 4 8 4 8 4 4 4 8,5 3 5 3 5 3 5 3 5 3 5 3 5 3 3 5 3 3 3 3 3 3 3 3> {(0, 167): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 22): 't1^-1', (0, 41): 't1', (0, 144): 'tau1', (1, 26): 't1^-1', (0, 117): 'tau2*t3', (0, 43): 't1', (0, 129): 'tau3^-1*t2', (0, 55): 't2*tau3^-1', (0, 111): 'tau2', (0, 45): 't3', (0, 150): 't2^-1*tau3*t1', (0, 140): 't3^-1*tau2^-1', (0, 57): 't2', (0, 175): 't1^-1', (0, 112): 'tau2', (0, 123): 'tau3^-1', (0, 145): 'tau1', (0, 154): 't1*tau3*t2^-1', (0, 151): 't2^-1*tau3*t1', (0, 166): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 154): 't1', (0, 40): 't1', (0, 106): 't2^-1*tau3', (0, 161): 'tau2*t3', (0, 42): 't1', (0, 23): 't1^-1', (0, 0): 't1', (0, 118): 'tau2*t3', (0, 35): 't1', (0, 44): 't3*tau2', (1, 92): 't1^-1', (0, 130): 't1', (0, 56): 't2', (0, 165): 'tau2^-1*t3^-1', (0, 46): 't3', (0, 122): 'tau3^-1', }