U-tiling: UQC3522
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc667 |
*222222 |
(3,5,2) |
{8,4,4} |
{4.6.6.4.4.6.6.4}{6.6.6.6}{6.6.6.6} |
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
|
|
sqc846
|
|
Pmmm |
47 |
orthorhombic |
{5,4,3} |
6 |
(3,5) |
|
G
|
False
|
|
sqc1625
|
|
I212121 |
24 |
orthorhombic |
{8,4,4} |
6 |
(3,5) |
|
D
|
False
|
|
sqc91
|
|
Pmmm |
47 |
orthorhombic |
{8,4,4} |
3 |
(3,5) |
Topological data
| Vertex degrees | {8,4,4} |
| 2D vertex symbol | {4.6.6.4.4.6.6.4}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.1:64:9 34 35 5 7 40 42 43 13 15 48 25 50 51 21 23 56 58 59 29 31 64 41 37 39 45 47 57 53 55 61 63,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64,17 3 36 37 14 15 24 25 11 44 45 32 19 52 53 30 31 27 60 61 49 35 46 47 56 57 43 64 51 62 63 59:4 6 6 4 6 6,8 4 4 8 4 4> {(0, 58): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 61): 'tau2^-1*t3^-1', (0, 56): 't1^-1*tau3^-1*t2', (2, 63): 'tau2^-1*t3^-1*tau1*t2', (2, 56): 't1^-1', (0, 63): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 50): 'tau1*t3^-1', (2, 54): 't3*tau2', (2, 55): 'tau1*t2', (0, 55): 'tau1*t3^-1', (0, 42): 'tau3^-1', (0, 40): 'tau3^-1*t2', (0, 57): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 47): 'tau3^-1', (2, 43): 't1', (0, 34): 't2^-1', (0, 33): 't2^-1', (0, 39): 't2^-1', (2, 29): 'tau2^-1*t3^-1', (2, 30): 'tau2^-1*t3^-1', (2, 23): 't3', (0, 17): 't3*tau1^-1', (2, 12): 't1^-1', (2, 13): 't1^-1', (2, 14): 't1^-1', (2, 15): 't1^-1*tau2', (0, 41): 'tau3^-1'}