U-tiling: UQC3272
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc256 |
*4444 |
(3,3,2) |
{3,8,4} |
{4.20.20}{20.20.20.20.20.20.20.2... |
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
|
|
sqc871
|
|
I-4m2 |
119 |
tetragonal |
{3,8,4} |
6 |
(3,3) |
|
D
|
False
|
|
sqc872
|
|
I-4m2 |
119 |
tetragonal |
{3,8,4} |
6 |
(3,3) |
Topological data
| Vertex degrees | {3,8,4} |
| 2D vertex symbol | {4.20.20}{20.20.20.20.20.20.20.20}{20.20.20.20} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.2:48:13 14 4 6 19 20 10 12 16 18 22 24 37 38 28 30 43 44 34 36 40 42 46 48,7 3 5 42 9 11 48 25 15 17 24 31 21 23 27 29 36 33 35 43 39 41 45 47,2 9 10 17 18 8 23 24 14 27 28 20 33 34 26 41 42 32 47 48 38 45 46 44:4 20,3 8 4 3 3 3> {(1, 30): 't3*tau2*t1^-1', (0, 6): 't1^-1', (2, 22): 'tau3^-1', (2, 23): 'tau3^-1', (2, 16): 't2^-1', (2, 17): 't2^-1', (0, 7): 't1^-1', (0, 42): 't3^-1*tau2^-1*t3^-1', (0, 43): 't3^-1*tau2^-1*t3^-1', (2, 46): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 47): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 40): 'tau1^-1', (2, 41): 'tau1^-1', (1, 47): 't3^-1*tau2^-1*t1', (2, 32): 't3*tau2*t1^-1', (2, 33): 't3*tau2*t1^-1', (0, 36): 't3^-1', (0, 37): 't3^-1'}