U-tiling: UQC781
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc619 |
*222222 |
(2,4,3) |
{10,6} |
{4.6.3.6.4.4.6.3.6.4}{6.3.3.6.3.3} |
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) |
|
G
|
False
|
|
sqc1791
|
|
I212121 |
24 |
orthorhombic |
{6,10} |
4 |
(2,5) |
|
D
|
False
|
|
sqc84
|
|
Pmmm |
47 |
orthorhombic |
{6,10} |
2 |
(2,4) |
Topological data
| Vertex degrees | {10,6} |
| 2D vertex symbol | {4.6.3.6.4.4.6.3.6.4}{6.3.3.6.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.1:64:17 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 61,2 35 20 6 8 10 43 28 14 16 18 51 22 24 26 59 30 32 34 52 38 40 42 60 46 48 50 54 56 58 62 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 63:3 6 4 3 6 3 4 3,6 10 10 6> {(1, 34): 't2^-1', (0, 61): 'tau2^-1*t3^-1*tau1*t2', (1, 59): 't1^-1', (0, 31): 'tau2^-1*t3^-1', (2, 47): 't1', (0, 63): 'tau2^-1*t3^-1', (0, 21): 't3', (2, 56): 't1^-1*tau3^-1*t2', (0, 30): 'tau2^-1*t1', (0, 29): 'tau2^-1*t1', (1, 50): 'tau1*t3^-1', (1, 58): 't1^-1*tau3^-1*t2*tau1*t3^-1', (0, 54): 'tau1*t2', (0, 15): 't1^-1', (0, 22): 't3', (1, 42): 'tau3^-1', (0, 56): 't1^-1', (2, 32): 't2^-1*tau3', (0, 62): 'tau2^-1*t3^-1*tau1*t2', (0, 53): 'tau1*t2', }