U-tiling: UQC144
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc143 |
*2626 |
(2,3,2) |
{6,12} |
{6.4.4.6.4.4}{4.4.4.4.4.4.4.4.4.... |
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
|
|
sqc1452
|
|
R-3m |
166 |
rhombohedral |
{12,6} |
4 |
(2,3) |
|
G
|
False
|
|
sqc1454
|
|
R-3m |
166 |
rhombohedral |
{12,6} |
4 |
(2,3) |
|
D
|
False
|
|
sqc1449
|
|
R-3m |
166 |
rhombohedral |
{12,6} |
4 |
(2,3) |
Topological data
| Vertex degrees | {6,12} |
| 2D vertex symbol | {6.4.4.6.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:60:11 3 14 15 16 8 19 20 13 18 31 23 34 35 36 28 39 40 33 38 51 43 54 55 56 48 59 60 53 58,2 4 10 7 9 12 14 25 17 19 30 22 24 27 29 32 34 45 37 39 50 42 44 47 49 52 54 60 57 59,46 52 53 5 41 57 58 10 56 37 38 15 51 32 33 20 26 47 48 25 42 43 30 36 35 40 45 50 55 60:4 6 4 4 4 4 4,12 6 6 6> {(2, 32): 't2^-1', (2, 47): 't3^-1', (2, 52): 't1', (2, 57): 't1', (2, 46): 't3^-1', (2, 51): 't1', (2, 56): 't1', (2, 45): 'tau2', (2, 50): 'tau3^-1', (2, 25): 'tau1^-1', (2, 37): 't3^-1', (2, 42): 't2^-1', (2, 31): 't2^-1', (2, 36): 't3^-1', (2, 41): 't2^-1', (2, 35): 'tau1^-1', (2, 40): 'tau3^-1', (2, 55): 'tau2', }