U-tiling: UQC3316
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc322 |
*4444 |
(3,2,2) |
{8,3,4} |
{8.16.8.16.8.16.8.16}{8.16.16}{1... |
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
|
False
|
|
sqc929
|
eft
|
P4/mmm |
123 |
tetragonal |
{8,3,4} |
6 |
(3,2) |
|
G
|
False
|
|
sqc948
|
|
I-42m |
121 |
tetragonal |
{8,3,4} |
6 |
(3,3) |
Topological data
| Vertex degrees | {8,3,4} |
| 2D vertex symbol | {8.16.8.16.8.16.8.16}{8.16.16}{16.16.16.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.1:48:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48,7 14 15 5 42 20 21 11 48 25 17 24 31 23 38 39 29 36 44 45 35 43 41 47,3 4 17 18 9 10 23 24 15 16 21 22 27 28 41 42 33 34 47 48 39 40 45 46:8 16,8 3 4 3 3 3> {(1, 30): 't3*tau2*t1^-1', (2, 22): 't1', (2, 23): 't1', (1, 43): 't3^-1*tau2^-1*t3^-1', (1, 20): 'tau3^-1', (2, 46): 't3^-1*tau2^-1*t3^-1', (2, 47): 't3^-1*tau2^-1*t3^-1', (2, 40): 't3^-1', (2, 41): 't3^-1', (1, 47): 't3^-1*tau2^-1*t1', (1, 14): 't2^-1', (1, 38): 'tau1^-1', (1, 37): 't3^-1', (1, 19): 't1', (1, 44): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1'}