U-tiling: UQC3545
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc751 |
*222222 |
(3,5,2) |
{4,8,4} |
{4.4.4.4}{4.8.8.4.4.8.8.4}{8.8.8.8} |
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
|
|
sqc844
|
|
Pmmm |
47 |
orthorhombic |
{3,6,3} |
6 |
(3,5) |
|
G
|
False
|
|
sqc1637
|
|
I212121 |
24 |
orthorhombic |
{4,8,4} |
6 |
(3,5) |
|
D
|
False
|
|
sqc78
|
|
Pmmm |
47 |
orthorhombic |
{4,4,8} |
3 |
(3,5) |
Topological data
| Vertex degrees | {4,8,4} |
| 2D vertex symbol | {4.4.4.4}{4.8.8.4.4.8.8.4}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.1:64:9 3 12 13 7 40 11 15 48 25 19 28 29 23 56 27 31 64 41 35 44 45 39 43 47 57 51 60 61 55 59 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 34 35 5 14 15 24 25 42 43 13 32 50 51 21 30 31 58 59 29 49 37 46 47 56 57 45 64 53 62 63 61:4 8 4 8 4 4,4 8 4 4 8 4> {(0, 59): 't1^-1*tau3^-1*t2', (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, 60): 't1^-1*tau3^-1*t2', (2, 61): 'tau2^-1*t3^-1', (0, 44): 'tau3^-1*t2', (2, 55): 'tau1*t2', (0, 55): 'tau1*t3^-1', (0, 43): 'tau3^-1*t2', (0, 40): 'tau3^-1*t2', (2, 41): 't1', (2, 42): 't1', (0, 39): 't2^-1', (2, 29): 'tau2^-1*t3^-1', (2, 30): 'tau2^-1*t3^-1', (2, 31): 'tau2^-1*t1', (2, 23): 't3', (2, 13): 't1^-1', (2, 14): 't1^-1', (0, 15): 'tau3', (2, 54): 't3*tau2'}