U-tiling: UQC117
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc116 |
*2224 |
(2,3,2) |
{4,4} |
{4.6.6.4}{6.6.6.6} |
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
|
|
sqc3869
|
ast
|
Fm-3m |
225 |
cubic |
{4,4} |
10 |
(2,2) |
|
G
|
False
|
|
sqc9893
|
|
I41/acd |
142 |
tetragonal |
{4,4} |
20 |
(2,3) |
|
D
|
False
|
|
sqc3837
|
|
P42/nnm |
134 |
tetragonal |
{4,4} |
10 |
(2,3) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.6.6.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:160:11 7 8 5 16 10 17 18 15 20 31 37 38 25 41 47 48 30 52 53 35 51 40 62 63 45 61 50 55 71 67 68 60 65 86 70 87 88 75 101 97 98 80 106 92 93 85 90 121 95 126 100 127 128 105 122 123 110 141 132 133 115 146 137 138 120 125 130 151 135 156 140 152 153 145 157 158 150 155 160,2 4 60 7 9 70 12 14 75 17 19 90 22 24 80 27 29 95 32 34 105 37 39 100 42 44 125 47 49 85 52 54 130 57 59 62 64 110 67 69 72 74 77 79 82 84 87 89 92 94 97 99 102 104 107 109 112 114 140 117 119 135 122 124 127 129 132 134 137 139 142 144 160 147 149 155 152 154 157 159,21 3 24 25 26 8 29 30 31 13 34 35 41 18 44 45 23 28 33 116 38 119 120 43 136 48 139 140 146 53 149 150 81 58 84 85 156 63 159 160 96 68 99 100 106 73 109 110 111 78 114 115 83 126 88 129 130 131 93 134 135 98 141 103 144 145 108 113 118 151 123 154 155 128 133 138 143 148 153 158:4 6 6 4 6 4 6 6 6 4 4 4 4 6 4 6,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2', (2, 63): 't2', (1, 124): 'tau3^-1', (0, 60): 't2', (0, 50): 't3', (1, 104): 'tau2', (0, 46): 't2^-1', (0, 47): 't2^-1', (0, 36): 't3^-1', (0, 37): 't3^-1', (1, 89): 't1', (2, 159): 't2^-1', (2, 153): 't2', (0, 156): 'tau1*t3^-1', (0, 147): 't3*tau1^-1', (2, 150): 't2', (0, 145): 't3', (0, 151): 'tau1^-1*t3', (0, 136): 'tau1', (0, 137): 'tau1', (0, 142): 't3^-1*tau1', (0, 140): 't3^-1', (1, 64): 'tau3', (0, 132): 'tau1^-1', (2, 124): 't2^-1', (0, 120): 't2^-1', (1, 54): 'tau2^-1', (0, 131): 'tau1^-1', (0, 96): 't3^-1', (0, 97): 't3^-1', (0, 100): 't3^-1', (1, 154): 't2*tau3^-1*t1^-1*tau2', (0, 92): 't2', (1, 159): 't2^-1*tau3*t1*tau2^-1', (0, 81): 't2^-1', (1, 14): 't1^-1'}