U-tiling: UQC57
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc53 |
*2244 |
(2,2,1) |
{8,4} |
{6.6.6.6.6.6.6.6}{6.6.6.6} |
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
|
|
sqc11
|
fsc
|
P4/mmm |
123 |
tetragonal |
{6,4} |
2 |
(2,2) |
|
G
|
False
|
|
sqc870
|
crs-d
|
Fd-3m |
227 |
cubic |
{8,4} |
4 |
(2,2) |
|
D
|
False
|
|
sqc33
|
|
P-42m |
111 |
tetragonal |
{4,8} |
2 |
(2,2) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {6.6.6.6.6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:48:25 3 28 6 31 9 34 12 37 15 40 18 43 21 46 24 27 30 33 36 39 42 45 48,2 21 5 24 8 12 11 14 18 17 20 23 26 45 29 48 32 36 35 38 42 41 44 47,4 8 9 11 12 13 16 20 21 23 24 22 28 32 33 35 36 37 40 44 45 47 48 46:6 6 6 6,8 4 8 4> {(2, 31): 't2^-1', (1, 47): 't3^-1*tau2^-1*t1', (2, 20): 't3^-1', (2, 22): 't3^-1*tau2^-1*t3^-1', (2, 23): 't3^-1*tau2^-1*t3^-1', (2, 11): 't1', (1, 23): 't3^-1*tau2^-1*t1', (2, 19): 't3^-1', (2, 44): 'tau1^-1', (2, 46): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 47): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 15): 't3*tau2*t1^-1', (2, 10): 't1', (2, 43): 'tau1^-1', (2, 39): 't3*tau2*t1^-1', (2, 32): 't2^-1', (2, 34): 'tau3^-1', (2, 35): 'tau3^-1'}