U-tiling: UQC4910
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1787 |
*22222 |
(4,6,2) |
{4,4,4,3} |
{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4} |
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
|
|
sqc10355
|
|
I4122 |
98 |
tetragonal |
{4,4,4,3} |
24 |
(4,7) |
|
D
|
False
|
|
sqc14609
|
|
P4222 |
93 |
tetragonal |
{3,4,4,4} |
12 |
(4,6) |
Topological data
| Vertex degrees | {4,4,4,3} |
| 2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.3:176:100 3 5 7 9 54 55 78 14 16 18 20 65 66 122 25 27 29 31 76 77 111 36 38 40 42 98 99 144 47 49 51 53 133 58 60 62 64 166 69 71 73 75 80 82 84 86 142 143 155 91 93 95 97 102 104 106 108 153 154 113 115 117 119 164 165 124 126 128 130 175 176 135 137 139 141 146 148 150 152 157 159 161 163 168 170 172 174,2 4 6 106 10 11 13 15 17 84 21 22 24 26 28 128 32 33 35 37 39 117 43 44 46 48 50 150 54 55 57 59 61 139 65 66 68 70 72 172 76 77 79 81 83 87 88 90 92 94 161 98 99 101 103 105 109 110 112 114 116 120 121 123 125 127 131 132 134 136 138 142 143 145 147 149 153 154 156 158 160 164 165 167 169 171 175 176,23 13 14 26 27 8 9 32 110 34 37 38 19 20 43 88 35 36 30 31 132 41 42 121 67 79 80 70 71 52 53 76 154 89 101 102 92 93 63 64 98 143 112 113 74 75 176 111 114 115 85 86 120 123 124 96 97 165 122 125 126 107 108 131 118 119 129 130 155 145 146 158 159 140 141 164 166 169 170 151 152 175 167 168 162 163 173 174:7 4 7 4 7 4 7 4 7 7 7 4 7 4 4 4,4 4 4 3 4 3 3 3 4 4 4 3 4 4 4 3 3 4 3 4 4 4 4 4> {(2, 56): 't2', (2, 57): 't2', (1, 127): 't1', (2, 55): 't2*tau3^-1', (0, 42): 't1', (0, 43): 't1', (2, 174): 't1^-1*tau3^-1*t2', (2, 168): 't1^-1*tau3^-1*t2', (2, 169): 't1^-1*tau3^-1*t2', (2, 42): 't1', (2, 37): 't1', (2, 164): 't1', (2, 165): 'tau2^-1*t3^-1', (2, 166): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 167): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 34): 't1', (2, 163): 'tau2*t3', (2, 157): 'tau2*t3', (2, 158): 'tau2*t3', (2, 154): 't1*tau3*t2^-1', (1, 94): 't1^-1', (2, 22): 't1^-1', (2, 144): 'tau1', (2, 145): 'tau1', (2, 35): 't1', (2, 130): 'tau3^-1*t2', (2, 131): 't1', (2, 124): 'tau3^-1*t2', (2, 125): 'tau3^-1*t2', (0, 121): 't1', (2, 122): 'tau3^-1', (2, 123): 'tau3^-1', (2, 119): 'tau2*t3', (2, 112): 'tau2', (2, 113): 'tau2*t3', (2, 114): 'tau2*t3', (2, 111): 'tau2', (2, 44): 't3*tau2', (0, 88): 't1^-1', (2, 45): 't3', (2, 36): 't1', (2, 46): 't3', (0, 174): 't1^-1', (0, 175): 't1^-1'}