U-tiling: UQC215
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc208 |
*222222 |
(2,4,2) |
{8,4} |
{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
|
|
sqc10
|
fsg
|
Pmmm |
47 |
orthorhombic |
{4,6} |
2 |
(2,4) |
|
G
|
False
|
|
sqc747
|
|
C2/c |
15 |
monoclinic |
{8,4} |
4 |
(2,4) |
|
D
|
True
|
|
sqc428
|
|
Imma |
74 |
orthorhombic |
{6,4} |
4 |
(2,4) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.8.8.4.4.8.8.4}{8.8.8.8} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:48:7 14 15 5 30 20 21 11 42 19 17 48 23 36 37 44 45 29 43 38 39 35 41 47,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48,13 3 28 29 36 19 9 40 41 48 15 46 47 42 21 34 35 30 43 27 37 33 39 45:4 8 8 4,8 4 8 4> {(2, 28): 't3*tau2', (2, 29): 't3', (0, 24): 'tau1', (2, 27): 't3*tau2', (2, 12): 't1', (2, 18): 't1', (0, 42): 'tau1', (2, 45): 't2^-1*tau3', (2, 46): 't2^-1*tau3', (2, 47): 't2^-1', (2, 40): 't2*tau3^-1', (2, 41): 't2', (2, 42): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 36): 't2*tau3^-1*t1^-1*tau2*t3', (2, 39): 't2*tau3^-1', (2, 33): 't3^-1*tau2^-1', (2, 34): 't3^-1*tau2^-1', (2, 35): 't3^-1'}