U-tiling: UQC428
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc752 |
*222222 |
(2,5,2) |
{4,8} |
{4.8.8.4}{4.4.8.8.4.4.8.8} |
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
|
|
sqc1323
|
|
Pmmm |
47 |
orthorhombic |
{4,6} |
6 |
(2,5) |
|
G
|
False
|
|
sqc2038
|
|
I212121 |
24 |
orthorhombic |
{4,8} |
6 |
(2,6) |
|
D
|
False
|
|
sqc110
|
|
P222 |
16 |
orthorhombic |
{8,4} |
3 |
(2,5) |
Topological data
| Vertex degrees | {4,8} |
| 2D vertex symbol | {4.8.8.4}{4.4.8.8.4.4.8.8} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.1:64:9 3 5 38 15 16 11 13 46 25 19 21 54 31 32 27 29 62 41 35 37 47 48 43 45 57 51 53 63 64 59 61,2 8 6 7 10 16 14 15 18 24 22 23 26 32 30 31 34 40 38 39 42 48 46 47 50 56 54 55 58 64 62 63,17 4 5 22 23 40 25 12 13 30 31 48 20 21 56 28 29 64 49 36 37 54 55 57 44 45 62 63 52 53 60 61:4 8 4 8 4 4,4 8 4 8 4 4> {(2, 61): 't1^-1', (0, 56): 't1^-1*tau3^-1*t2', (2, 63): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 62): 'tau2^-1*t3^-1', (0, 63): 't1^-1*tau3^-1*t2', (2, 54): 'tau1*t2', (2, 55): 'tau1*t3^-1', (2, 30): 'tau2^-1*t1', (2, 62): 'tau2^-1*t3^-1*tau1*t2', (0, 14): 't1^-1', (2, 47): 'tau3^-1', (2, 40): 't1', (0, 47): 'tau3^-1*t2', (0, 45): 't1', (0, 30): 'tau2^-1*t3^-1', (0, 32): 't2^-1*tau3', (2, 39): 't2^-1', (2, 22): 't3'}