U-tiling: UQC56
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
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
|
G
|
False
|
|
sqc870
|
crs-d
|
Fd-3m |
227 |
cubic |
{8,4} |
4 |
(2,2) |
|
D
|
False
|
|
sqc874
|
|
I41/amd |
141 |
tetragonal |
{8,4} |
4 |
(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
<1.1:48:4 3 6 13 9 16 12 15 18 22 21 24 34 27 31 30 33 36 43 39 46 42 45 48,2 21 5 24 8 27 11 33 14 36 17 30 20 23 26 29 32 35 38 48 41 45 44 47,19 8 9 22 11 12 25 31 34 41 42 28 47 48 29 30 35 36 38 39 44 45 46 43:6 6 6 6,8 4 8 4> {(0, 27): 't2^-1', (0, 24): 't3', (0, 12): 't3^-1', (2, 21): 't1', (0, 9): 't2', (2, 18): 't1', (0, 42): 'tau1^-1', (2, 45): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 15): 't2^-1*tau3', (2, 9): 'tau3*t2^-1', (2, 42): 't2*tau3^-1*t1^-1*tau2*t3', (0, 45): 'tau1', (2, 6): 'tau2^-1*t3^-1', (2, 33): 'tau2*t3'}