U-tiling: UQC3273
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) |
|
P
|
True
|
|
sqc294
|
|
P4/mmm |
123 |
tetragonal |
{3,6} |
5 |
(2,3) |
|
G
|
False
|
|
sqc871
|
|
I-4m2 |
119 |
tetragonal |
{3,8,4} |
6 |
(3,3) |
|
D
|
False
|
|
sqc896
|
|
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
<4.1:48:7 8 4 6 10 12 25 26 16 18 31 32 22 24 28 30 34 36 43 44 40 42 46 48,13 3 5 18 19 9 11 24 15 17 21 23 37 27 29 42 43 33 35 48 39 41 45 47,2 15 16 41 42 8 21 22 47 48 14 23 24 20 26 39 40 35 36 32 45 46 38 44:4 20,3 8 4 3 3 3> {(1, 41): 't3^-1', (1, 42): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 30): 't3*tau2*t1^-1', (0, 31): 't3*tau2*t1^-1', (1, 12): 't2^-1', (1, 18): 'tau3^-1', (2, 14): 't2^-1', (1, 23): 't1', (2, 44): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 45): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 46): 't3^-1*tau2^-1*t1', (2, 47): 't3^-1*tau2^-1*t1', (2, 8): 'tau3', (2, 15): 't2^-1', (1, 47): 't3^-1*tau2^-1*t3^-1', (2, 38): 'tau1^-1', (2, 39): 'tau1^-1', (1, 36): 'tau1^-1', (2, 9): 'tau3'}