U-tiling: UQC31
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc21 |
*446 |
(1,1,2) |
{8} |
{4.6.4.6.4.6.4.6} |
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
|
False
|
|
sqc877
|
reo
|
Pm-3m |
221 |
cubic |
{8} |
3 |
(1,1) |
|
G
|
False
|
|
sqc876
|
|
R-3m |
166 |
rhombohedral |
{8} |
3 |
(1,2) |
|
D
|
False
|
|
sqc877
|
reo
|
Pm-3m |
221 |
cubic |
{8} |
3 |
(1,1) |
Topological data
| Vertex degrees | {8} |
| 2D vertex symbol | {6.4.6.4.6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:48:41 42 7 8 45 46 29 30 19 20 25 26 23 24 37 38 33 34 35 36 39 40 47 48,37 3 12 33 7 16 45 11 41 15 21 19 28 23 32 29 27 31 35 44 39 48 43 47,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48:6 4 6 4 4,8 8 8> {(0, 29): 't3^-1', (0, 28): 't3^-1', (0, 41): 't1', (0, 40): 't1', (1, 16): 'tau1', (1, 24): 'tau1', (1, 36): 'tau2', (1, 44): 'tau2', (0, 32): 't2^-1', (1, 40): 'tau3^-1', (0, 44): 't1', (0, 25): 't2^-1', (0, 24): 't2^-1', (1, 32): 'tau3^-1', (0, 37): 't3^-1', (0, 33): 't2^-1', (0, 36): 't3^-1', (0, 45): 't1', }