U-tiling: UQC77
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
|
|
sqc1450
|
|
R-3m |
166 |
rhombohedral |
{12,4,6} |
5 |
(3,3) |
|
G
|
False
|
|
sqc1445
|
|
R-3m |
166 |
rhombohedral |
{12,4,6} |
5 |
(3,3) |
|
D
|
False
|
|
sqc1453
|
|
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
<3.1:60:46 3 5 41 8 10 56 13 15 51 18 20 26 23 25 28 30 36 33 35 38 40 43 45 48 50 53 55 58 60,2 4 50 7 9 45 12 14 60 17 19 55 22 24 30 27 29 32 34 40 37 39 42 44 47 49 52 54 57 59,11 7 8 54 55 16 59 60 22 23 39 40 27 28 34 35 31 49 50 36 44 45 42 43 47 48 51 56 57 58:5 5 5 5 5 5,12 4 6 4 4> {(2, 58): 't1', (2, 59): 't1', (0, 50): 'tau3^-1', (2, 53): 't1', (2, 54): 't1', (0, 45): 'tau2', (2, 48): 't3^-1', (2, 49): 't3^-1', (2, 44): 't2^-1', (0, 40): 'tau3^-1', (2, 43): 't2^-1', (0, 35): 'tau1^-1', (2, 38): 't3^-1', (2, 39): 't3^-1', (2, 34): 't2^-1', (0, 25): 'tau1^-1', (2, 18): 't2', (0, 10): 'tau2^-1', (1, 59): 'tau2', (1, 49): 'tau2', (1, 54): 'tau3^-1', (1, 44): 'tau3^-1', (1, 34): 'tau1', (1, 24): 'tau1'}