U-tiling: UQC78
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc176 |
*2626 |
(3,3,1) |
{12,4,6} |
{5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.... |
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
|
|
sqc1453
|
|
R-3m |
166 |
rhombohedral |
{12,4,6} |
5 |
(3,3) |
|
G
|
False
|
|
sqc1455
|
|
R-3m |
166 |
rhombohedral |
{12,4,6} |
5 |
(3,3) |
|
D
|
False
|
|
sqc1450
|
|
R-3m |
166 |
rhombohedral |
{12,4,6} |
5 |
(3,3) |
Topological data
| Vertex degrees | {12,4,6} |
| 2D vertex symbol | {5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.5}{5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.2:60:11 3 5 16 8 10 13 15 18 20 31 23 25 36 28 30 33 35 38 40 51 43 45 56 48 50 53 55 58 60,2 4 15 7 9 20 12 14 17 19 22 24 35 27 29 40 32 34 37 39 42 44 55 47 49 60 52 54 57 59,46 52 53 9 10 41 57 58 56 37 38 24 25 51 32 33 29 30 26 47 48 42 43 36 44 45 49 50 59 60:5 5 5 5 5 5,12 4 6 4 4> {(2, 31): 't2^-1', (2, 56): 't1', (2, 57): 't1', (2, 52): 't1', (2, 55): 'tau2', (2, 50): 'tau3^-1', (2, 51): 't1', (2, 45): 'tau2', (2, 46): 't3^-1', (2, 47): 't3^-1', (2, 40): 'tau3^-1', (2, 41): 't2^-1', (2, 42): 't2^-1', (2, 25): 'tau1^-1', (2, 36): 't3^-1', (2, 37): 't3^-1', (2, 32): 't2^-1', (2, 35): 'tau1^-1'}