U-tiling: UQC3896
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1107 |
*222222 |
(3,5,2) |
{8,3,4} |
{3.12.12.3.3.12.12.3}{3.12.12}{1... |
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
|
|
sqc225
|
|
Pmmm |
47 |
orthorhombic |
{4,3,8} |
4 |
(3,5) |
|
G
|
False
|
|
sqc2551
|
|
C2/c |
15 |
monoclinic |
{8,3,4} |
8 |
(3,6) |
|
D
|
False
|
|
sqc2555
|
|
Imma |
74 |
orthorhombic |
{8,3,4} |
8 |
(3,5) |
Topological data
| Vertex degrees | {8,3,4} |
| 2D vertex symbol | {3.12.12.3.3.12.12.3}{3.12.12}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.1:72:10 3 5 51 8 45 12 14 69 17 63 28 21 23 60 26 72 30 32 42 35 54 55 39 41 44 64 48 50 53 57 59 62 66 68 71,2 12 6 7 9 11 15 16 18 20 30 24 25 27 29 33 34 36 38 57 42 43 45 47 66 51 52 54 56 60 61 63 65 69 70 72,19 4 5 42 16 17 27 28 13 14 60 36 22 23 69 34 35 31 32 51 64 40 41 61 62 72 55 49 50 70 71 63 58 59 67 68:3 12 12 3 3 3,8 3 4 8 3 3 4 3> {(2, 60): 'tau1^-1', (0, 59): 't2', (2, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 63): 'tau1', (1, 56): 'tau1^-1', (2, 59): 't2*tau3^-1', (2, 52): 'tau1^-1', (2, 54): 't2*tau3^-1*t1^-1*tau2*t3', (2, 27): 't1', (0, 54): 'tau1^-1', (2, 50): 't3^-1*tau2^-1', (2, 51): 'tau1^-1', (2, 23): 'tau3^-1*t2', (0, 41): 't3', (0, 14): 't2', (2, 41): 't3*tau2', (2, 43): 'tau1', (1, 65): 'tau1', (0, 5): 't3', (2, 18): 't1'}