U-tiling: UQC982
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc726 |
*2244 |
(2,4,3) |
{16,4} |
{4.4.3.4.4.4.3.4.4.4.3.4.4.4.3.4... |
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
|
True
|
|
sqc1018
|
|
P4/mmm |
123 |
tetragonal |
{4,10} |
5 |
(2,4) |
|
G
|
False
|
|
sqc7400
|
|
I41/a |
88 |
tetragonal |
{4,16} |
10 |
(2,5) |
|
D
|
True
|
|
sqc6247
|
|
I41/amd |
141 |
tetragonal |
{4,12} |
10 |
(2,4) |
Topological data
| Vertex degrees | {16,4} |
| 2D vertex symbol | {4.4.3.4.4.4.3.4.4.4.3.4.4.4.3.4}{4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<64.1:128:49 4 5 54 55 56 57 12 13 62 63 64 65 20 21 70 71 72 81 28 29 86 87 88 89 36 37 94 95 96 73 44 45 78 79 80 52 53 60 61 68 69 76 77 84 85 92 93 121 100 101 126 127 128 113 108 109 118 119 120 116 117 124 125,2 8 52 6 23 10 16 60 14 31 18 24 68 22 26 32 84 30 34 40 92 38 111 42 48 76 46 127 50 56 54 79 58 64 62 95 66 72 70 103 74 80 78 82 88 86 119 90 96 94 98 104 124 102 106 112 116 110 114 120 118 122 128 126,9 3 5 7 16 11 13 15 33 19 21 23 40 41 27 29 31 48 35 37 39 43 45 47 57 51 53 55 64 59 61 63 89 67 69 71 96 81 75 77 79 88 83 85 87 91 93 95 113 99 101 103 120 121 107 109 111 128 115 117 119 123 125 127:3 4 4 3 4 4 3 4 3 4 3 4 3 4 3 4 3 4,4 16 16 4 4 4 4 4 4 4> {(2, 88): 't3^-1', (2, 47): 't2^-1', (1, 51): 't1', (1, 123): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 127): 'tau1', (2, 87): 't2', (0, 48): 't1', (2, 32): 't3^-1', (1, 91): 'tau2*t3', (1, 59): 't1', (2, 112): 'tau1^-1', (2, 95): 't3^-1', (0, 56): 't1', (2, 40): 't2^-1', (0, 16): 'tau2^-1*t3^-1', (1, 67): 't3*tau2', (2, 120): 'tau1', (0, 32): 't3^-1*tau2^-1', (2, 80): 't2', (0, 24): 'tau3*t2^-1', (1, 75): 'tau3^-1*t2', (0, 112): 't2*tau3^-1*t1^-1*tau2*t3', (0, 40): 't2^-1*tau3', (1, 27): 'tau3*t2^-1', (2, 39): 't3^-1', (1, 115): 't2*tau3^-1*t1^-1*tau2*t3', (0, 120): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 119): 'tau1^-1', }