U-tiling: UQC546
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc362 |
*2244 |
(2,3,3) |
{5,8} |
{4.3.8.3.4}{3.8.3.8.3.8.3.8} |
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
|
|
sqc6404
|
|
I-42d |
122 |
tetragonal |
{5,8} |
10 |
(2,4) |
|
D
|
False
|
|
sqc14631
|
|
P4/mmm |
123 |
tetragonal |
{5,8} |
5 |
(2,3) |
Topological data
| Vertex degrees | {5,8} |
| 2D vertex symbol | {4.3.8.3.4}{3.8.3.8.3.8.3.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.1:112:57 9 10 6 7 64 13 14 71 30 31 20 21 78 37 38 27 28 85 34 35 92 41 42 99 51 52 48 49 106 55 56 65 66 62 63 69 70 86 87 76 77 93 94 83 84 90 91 97 98 107 108 104 105 111 112,2 4 47 13 21 9 11 54 28 16 18 26 34 23 25 41 30 32 40 49 37 39 56 44 46 55 51 53 58 60 103 69 77 65 67 110 84 72 74 82 90 79 81 97 86 88 96 105 93 95 112 100 102 111 107 109,43 3 5 7 50 10 12 14 22 17 19 21 24 26 28 36 31 33 35 38 40 42 45 47 49 52 54 56 99 59 61 63 106 66 68 70 78 73 75 77 80 82 84 92 87 89 91 94 96 98 101 103 105 108 110 112:4 3 8 4 3 4 3 4 3 3 8 3 3 3,5 8 5 5 5 5 8 5 5 5> {(2, 49): 't3^-1*tau2^-1*t1', (0, 93): 't3*tau2*t1^-1', (1, 76): 't2^-1', (1, 53): 't3^-1*tau2^-1*t1', (1, 109): 't3^-1*tau2^-1*t1', (1, 48): 't3^-1', (1, 27): 't1', (1, 104): 'tau1^-1', (1, 111): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 82): 't1*tau2^-1*t3^-1', (1, 69): 'tau3', (1, 40): 't3*tau2*t1^-1', (1, 55): 't3^-1*tau2^-1*t3^-1', (2, 63): 't1^-1*tau2*t3', (0, 37): 't3*tau2*t1^-1', (0, 78): 't1*tau2^-1*t3^-1', (0, 36): 't3*tau2*t1^-1', }