U-tiling: UQC108
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc13 |
*288 |
(1,1,1) |
{8} |
{8.8.8.8.8.8.8.8} |
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
|
|
sqc3
|
bcu
|
Im-3m |
229 |
cubic |
{8} |
1 |
(1,1) |
|
G
|
True
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
|
D
|
True
|
|
sqc6
|
dia
|
Fd-3m |
227 |
cubic |
{4} |
2 |
(1,1) |
Topological data
| Vertex degrees | {8,8} |
| 2D vertex symbol | {8.8.8.8.8.8.8.8}{8.8.8.8.8.8.8.8} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:32:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32,5 10 11 28 14 15 32 17 16 21 26 27 24 30 31 29,3 4 7 8 11 12 15 16 19 20 23 24 27 28 31 32:8 8,8 8> {(1, 25): 't3^-1', (1, 26): 'tau1^-1', (1, 29): 't3^-1*tau2^-1*t3^-1', (1, 31): 't3^-1*tau2^-1*t1', (1, 30): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 20): 't3*tau2*t1^-1', (1, 10): 't2^-1', (1, 13): 't1', (1, 14): 'tau3^-1'}