U-tiling: UQC3735
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc820 |
*222222 |
(3,4,2) |
{8,4,4} |
{3.10.10.3.3.10.10.3}{3.10.3.10}... |
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) |
|
G
|
False
|
|
sqc1960
|
|
I212121 |
24 |
orthorhombic |
{8,4,4} |
6 |
(3,5) |
|
D
|
False
|
|
sqc116
|
|
Pmmm |
47 |
orthorhombic |
{8,4,4} |
3 |
(3,4) |
Topological data
| Vertex degrees | {8,4,4} |
| 2D vertex symbol | {3.10.10.3.3.10.10.3}{3.10.3.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.1:64:9 3 5 7 24 11 13 15 32 25 19 21 23 27 29 31 41 35 37 39 56 43 45 47 64 57 51 53 55 59 61 63,2 11 6 37 8 10 14 45 16 18 27 22 53 24 26 30 61 32 34 43 38 40 42 46 48 50 59 54 56 58 62 64,17 4 5 38 39 16 25 12 13 46 47 20 21 54 55 32 28 29 62 63 49 36 37 48 57 44 45 52 53 64 60 61:3 10 10 3 3 3,8 4 4 8 4 4> {(0, 56): 't1^-1*tau3^-1*t2', (2, 63): 'tau2^-1*t3^-1', (2, 56): 't1^-1', (0, 63): 'tau2^-1*t3^-1*tau1*t2', (1, 58): 't1^-1*tau3^-1*t2', (0, 55): 'tau1*t2', (1, 52): 'tau1*t3^-1', (0, 23): 't3', (1, 42): 'tau3^-1*t2', (2, 45): 't1', (2, 46): 't1', (2, 31): 'tau2^-1*t3^-1', (2, 15): 't1^-1', (1, 44): 'tau3^-1', (0, 32): 't2^-1*tau3', (1, 36): 't2^-1', (1, 60): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 31): 'tau2^-1*t1'}