U-tiling: UQC558
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc364 |
*222222 |
(2,3,3) |
{10,4} |
{4.6.4.6.4.4.6.4.6.4}{6.4.6.4} |
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) |
|
G
|
False
|
|
sqc1332
|
|
I212121 |
24 |
orthorhombic |
{10,4} |
4 |
(2,4) |
|
D
|
False
|
|
sqc42
|
|
Pmmm |
47 |
orthorhombic |
{10,4} |
2 |
(2,3) |
Topological data
| Vertex degrees | {10,4} |
| 2D vertex symbol | {4.6.4.6.4.4.6.4.6.4}{6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.1:56:15 30 31 6 7 22 37 38 13 14 44 45 20 21 51 52 27 28 43 34 35 50 41 42 48 49 55 56,2 4 33 13 21 9 11 40 28 16 18 47 27 23 25 54 30 32 41 49 37 39 56 44 46 55 51 53,8 3 5 7 10 12 14 22 17 19 21 24 26 28 36 31 33 35 38 40 42 50 45 47 49 52 54 56:4 6 4 4 4 6,10 4 10 4> {(1, 53): 't1^-1*tau3^-1*t2*tau1*t3^-1', (1, 54): 'tau2^-1*t3^-1', (1, 12): 't1^-1', (1, 55): 'tau2^-1*t3^-1*tau1*t2', (1, 26): 'tau2^-1*t3^-1', (1, 48): 'tau1*t2', (1, 27): 'tau2^-1*t1', (1, 46): 'tau1*t3^-1', (0, 36): 't1', (2, 49): 't1^-1*tau3^-1*t2', (2, 35): 'tau3^-1*t2', (1, 20): 't3', (1, 39): 'tau3^-1', (1, 32): 't2^-1', (0, 37): 't1', (0, 49): 't1^-1', }