U-tiling: UQC3644
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc796 |
*222222 |
(3,4,2) |
{6,6,4} |
{3.10.3.3.10.3}{3.10.10.3.10.10}... |
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
|
|
sqc172
|
|
Pmmm |
47 |
orthorhombic |
{6,6,4} |
3 |
(3,4) |
|
G
|
False
|
|
sqc1853
|
|
C2/c |
15 |
monoclinic |
{6,6,4} |
6 |
(3,5) |
|
D
|
False
|
|
sqc1852
|
|
Imma |
74 |
orthorhombic |
{6,6,4} |
6 |
(3,4) |
Topological data
| Vertex degrees | {6,6,4} |
| 2D vertex symbol | {3.10.3.3.10.3}{3.10.10.3.10.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.2:64:17 3 5 7 40 25 11 13 15 56 19 21 23 64 27 29 31 48 57 35 37 39 49 43 45 47 51 53 55 59 61 63,2 19 44 6 8 10 27 60 14 16 18 52 22 24 26 36 30 32 34 59 38 40 42 51 46 48 50 54 56 58 62 64,33 4 5 14 15 24 49 12 13 32 57 20 21 30 31 41 28 29 36 37 54 55 64 44 45 62 63 56 52 53 60 61:3 10 3 10 3 3,6 6 4 6 6 4> {(2, 61): 'tau1', (2, 62): 'tau1', (1, 58): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 56): 't2^-1*tau3', (1, 43): 't3^-1', (1, 59): 't2^-1', (1, 18): 't1', (2, 53): 'tau1^-1', (2, 54): 'tau1^-1', (1, 50): 't2*tau3^-1*t1^-1*tau2*t3', (2, 48): 't2*tau3^-1', (0, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 40): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 24): 't1', (2, 40): 't3^-1*tau2^-1', (1, 51): 't2', (1, 26): 't1', (1, 35): 't3', (2, 32): 't3*tau2', (0, 16): 't1'}