U-tiling: UQC560
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) |
|
P
|
True
|
|
sqc21
|
|
Pmmm |
47 |
orthorhombic |
{8,4} |
2 |
(2,3) |
|
G
|
False
|
|
sqc1271
|
|
C2/c |
15 |
monoclinic |
{10,4} |
4 |
(2,4) |
|
D
|
False
|
|
sqc58
|
|
Cmmm |
65 |
orthorhombic |
{4,10} |
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
<9.2:56:29 37 38 6 7 43 51 52 13 14 50 44 45 20 21 36 30 31 27 28 34 35 41 42 48 49 55 56,2 4 12 34 21 9 11 48 28 16 18 26 55 23 25 41 30 32 47 56 37 39 54 49 44 46 51 53,15 3 5 7 22 10 12 14 17 19 21 24 26 28 50 31 33 35 43 38 40 42 45 47 49 52 54 56:4 6 4 4 6 4,10 4 4 10> {(1, 53): 'tau1', (0, 29): 't3', (0, 51): 't2^-1', (0, 28): 't3*tau2', (0, 50): 't2^-1', (2, 14): 't1', (0, 30): 't3', (0, 43): 't2', (0, 42): 't2*tau3^-1', (2, 49): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 21): 't1', (0, 35): 't3^-1*tau2^-1', (0, 44): 't2', (1, 46): 'tau1^-1', (2, 35): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 37): 't3^-1', (0, 36): 't3^-1', (0, 49): 't2^-1*tau3', }