U-tiling: UQC30
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc23 |
*488 |
(1,1,2) |
{16} |
{4.8.4.8.4.8.4.8.4.8.4.8.4.8.4.8} |
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
|
True
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
|
G
|
True
|
|
sqc3
|
bcu
|
Im-3m |
229 |
cubic |
{8} |
1 |
(1,1) |
|
D
|
True
|
|
sqc19
|
fcu
|
Fm-3m |
225 |
cubic |
{12} |
1 |
(1,1) |
Topological data
| Vertex degrees | {16} |
| 2D vertex symbol | {4.8.4.8.4.8.4.8.4.8.4.8.4.8.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:32:9 10 27 28 13 14 31 32 15 16 25 26 23 24 29 30,5 3 12 7 16 17 11 21 15 19 28 23 32 29 27 31,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32:4 8 4,16> {(0, 29): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 30): 't3^-1*tau2^-1*t1', (0, 31): 't3^-1*tau2^-1*t1', (0, 8): 't2^-1', (1, 15): 't1', (0, 12): 'tau3^-1', (0, 24): 'tau1^-1', (1, 20): 't3*tau2*t1^-1', (1, 31): 't3^-1*tau2^-1*t3^-1', (0, 28): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 9): 't2^-1', (1, 27): 't3^-1', (0, 13): 'tau3^-1', (0, 25): 'tau1^-1', }