U-tiling: UQC3678
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc805 |
*222222 |
(3,4,2) |
{6,6,4} |
{6.5.6.6.5.6}{6.5.5.6.5.5}{5.5.5.5} |
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
|
|
sqc1304
|
|
Pmmm |
47 |
orthorhombic |
{5,6,3} |
6 |
(3,4) |
|
G
|
False
|
|
sqc1815
|
|
I212121 |
24 |
orthorhombic |
{6,6,4} |
6 |
(3,5) |
|
D
|
False
|
|
sqc120
|
|
P222 |
16 |
orthorhombic |
{6,4,6} |
3 |
(3,4) |
Topological data
| Vertex degrees | {6,6,4} |
| 2D vertex symbol | {6.5.6.6.5.6}{6.5.5.6.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.1:64:9 3 5 7 40 11 13 15 48 25 19 21 23 56 27 29 31 64 41 35 37 39 43 45 47 57 51 53 55 59 61 63,2 35 36 6 8 10 43 44 14 16 18 51 52 22 24 26 59 60 30 32 34 38 40 42 46 48 50 54 56 58 62 64,17 4 5 22 23 16 25 12 13 30 31 20 21 32 28 29 49 36 37 54 55 48 57 44 45 62 63 52 53 64 60 61:6 5 5 6 5 5,6 6 4 6 6 4> {(2, 61): 'tau2^-1*t3^-1*tau1*t2', (0, 56): 't1^-1*tau3^-1*t2', (2, 63): 'tau2^-1*t3^-1', (2, 56): 't1^-1', (1, 43): 't1', (2, 21): 't3', (2, 29): 'tau2^-1*t1', (2, 53): 'tau1*t2', (2, 54): 'tau1*t2', (1, 50): 'tau1*t3^-1', (1, 42): 'tau3^-1', (2, 62): 'tau2^-1*t3^-1*tau1*t2', (1, 58): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 31): 'tau2^-1*t3^-1', (0, 47): 't1', (2, 30): 'tau2^-1*t1', (0, 32): 't2^-1*tau3', (2, 15): 't1^-1', (1, 34): 't2^-1', (2, 22): 't3'}