U-tiling: UQC3466
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc549 |
*2244 |
(3,3,2) |
{4,3,8} |
{5.5.5.5}{5.8.5}{5.8.5.8.5.8.5.8} |
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) |
|
P
|
False
|
|
sqc1350
|
|
P4/mmm |
123 |
tetragonal |
{4,8,3} |
7 |
(3,3) |
|
G
|
False
|
|
sqc6405
|
|
I41/a |
88 |
tetragonal |
{4,3,8} |
14 |
(3,4) |
|
D
|
False
|
|
sqc6499
|
|
I41/amd |
141 |
tetragonal |
{4,3,8} |
14 |
(3,3) |
Topological data
| Vertex degrees | {4,3,8} |
| 2D vertex symbol | {5.5.5.5}{5.8.5}{5.8.5.8.5.8.5.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.1:112:43 3 5 7 50 10 12 14 57 17 19 21 71 24 26 28 78 31 33 35 64 38 40 42 45 47 49 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84 106 87 89 91 99 94 96 98 101 103 105 108 110 112,2 4 47 48 21 9 11 54 55 28 16 18 61 62 23 25 75 76 30 32 82 83 98 37 39 68 69 112 44 46 70 51 53 84 58 60 91 65 67 72 74 105 79 81 86 88 110 111 93 95 103 104 100 102 107 109,8 44 45 6 7 51 52 13 14 29 58 59 20 21 36 72 73 27 28 79 80 34 35 65 66 41 42 50 48 49 55 56 78 62 63 71 69 70 76 77 83 84 99 107 108 90 91 106 100 101 97 98 104 105 111 112:5 8 5 8 5 5 5 5 5 5,4 3 8 3 8 4 3 4 3 3 3 4 3 3> {(2, 63): 't2^-1', (2, 56): 't3', (2, 57): 't3*tau2', (2, 58): 't3*tau2', (1, 110): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 50): 't1', (2, 51): 't1', (2, 44): 't1', (2, 43): 't1', (2, 36): 't2^-1*tau3', (2, 37): 't2^-1*tau3', (2, 35): 't2^-1', (2, 29): 't3^-1*tau2^-1', (2, 30): 't3^-1*tau2^-1', (2, 23): 'tau3*t2^-1', (2, 22): 'tau3*t2^-1', (1, 82): 'tau2*t3', (1, 75): 't2*tau3^-1', (2, 106): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 14): 't3', (1, 61): 't3*tau2', (1, 54): 't1', (1, 40): 't2^-1*tau3', (2, 105): 'tau1', (1, 47): 't1', (2, 98): 'tau1^-1', (2, 99): 't2*tau3^-1*t1^-1*tau2*t3', (2, 93): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 86): 't3*tau2*t1^-1*tau3^-1*t2', (1, 96): 't3^-1*tau2^-1*t1*tau3*t2^-1'}