U-tiling: UQC3734
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) |
|
P
|
False
|
|
sqc115
|
|
Pmmm |
47 |
orthorhombic |
{8,4,4} |
3 |
(3,4) |
|
G
|
False
|
|
sqc1905
|
|
C2/c |
15 |
monoclinic |
{8,4,4} |
6 |
(3,5) |
|
D
|
False
|
|
sqc1906
|
|
Imma |
74 |
orthorhombic |
{8,4,4} |
6 |
(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
<21.2:64:17 3 5 7 24 25 11 13 15 32 19 21 23 27 29 31 57 35 37 39 64 49 43 45 47 56 51 53 55 59 61 63,2 19 6 13 8 10 27 14 16 18 22 29 24 26 30 32 34 59 38 53 40 42 51 46 61 48 50 54 56 58 62 64,33 4 5 46 47 40 49 12 13 62 63 56 57 20 21 54 55 64 41 28 29 38 39 48 36 37 44 45 52 53 60 61:3 10 3 3 10 3,8 4 4 8 4 4> {(2, 61): 't2^-1', (0, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 56): 't2^-1*tau3', (2, 53): 't2', (2, 54): 't2', (2, 48): 't2*tau3^-1', (2, 62): 't2^-1', (2, 45): 't3^-1', (0, 40): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 40): 't3^-1*tau2^-1', (2, 37): 't3', (2, 38): 't3', (2, 32): 't3*tau2', (0, 8): 't1^-1', (2, 6): 't3', (1, 58): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 60): 'tau1', (1, 50): 't2*tau3^-1*t1^-1*tau2*t3', (1, 52): 'tau1^-1', (0, 0): 't1^-1', (1, 26): 't1', (1, 18): 't1'}