U-tiling: UQC1880
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1386 |
*2244 |
(2,4,4) |
{3,8} |
{8.4.6}{6.4.4.4.6.4.4.4} |
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) |
|
P
|
False
|
|
sqc9691
|
|
P4/nmm |
129 |
tetragonal |
{8,3} |
20 |
(2,4) |
|
G
|
False
|
|
sqc9690
|
|
I41/a |
88 |
tetragonal |
{8,3,3} |
20 |
(3,5) |
|
D
|
False
|
|
sqc9687
|
|
I41/amd |
141 |
tetragonal |
{8,3} |
20 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {8.4.6}{6.4.4.4.6.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:160:21 22 5 6 27 28 69 70 31 32 15 16 37 38 79 80 25 26 89 90 35 36 109 110 131 132 45 46 137 138 119 120 151 152 55 56 157 158 99 100 91 92 65 66 97 98 111 112 75 76 117 118 121 122 85 86 127 128 95 96 141 142 105 106 147 148 115 116 125 126 159 160 135 136 149 150 145 146 155 156,61 3 14 7 10 9 71 13 17 20 19 81 23 44 27 30 29 101 33 54 37 40 39 111 43 47 50 49 91 53 57 60 59 63 74 67 70 69 73 77 80 79 83 114 87 90 89 93 104 97 100 99 103 107 110 109 113 117 120 119 151 123 144 127 130 129 141 133 154 137 140 139 143 147 150 149 153 157 160 159,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:4 4 6 8 4 4 8 6 6 4 4 4 4 4 4 6,8 3 3 8 3 8 3 3 3 3 3 3 3 3 3 8 3 3 3 3> {(0, 29): 'tau2^-1*t3^-1', (0, 18): 't1^-1', (0, 8): 't1^-1', (1, 123): 'tau1', (1, 103): 't2', (0, 59): 't2^-1*tau3', (0, 48): 't3^-1*tau2^-1', (0, 38): 'tau3*t2^-1', (0, 19): 't1^-1', (1, 153): 'tau1', (0, 9): 't1^-1', (0, 158): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 113): 't3^-1', (0, 49): 't3^-1*tau2^-1', (0, 39): 'tau3*t2^-1', (0, 159): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 148): 't2*tau3^-1*t1^-1*tau2*t3', (1, 53): 't2^-1', (0, 28): 'tau2^-1*t3^-1', (0, 149): 't2*tau3^-1*t1^-1*tau2*t3', (1, 43): 't3^-1', (0, 58): 't2^-1*tau3', }