U-tiling: UQC3276
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc259 |
*2626 |
(3,3,2) |
{3,4,6} |
{6.10.10}{10.10.10.10}{10.10.10.... |
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
|
|
sqc2597
|
|
R-3m |
166 |
rhombohedral |
{3,4,6} |
10 |
(3,3) |
|
G
|
False
|
|
sqc2596
|
|
R-3m |
166 |
rhombohedral |
{3,4,6} |
10 |
(3,3) |
|
D
|
False
|
|
sqc2842
|
|
R-3m |
166 |
rhombohedral |
{3,4,6} |
10 |
(3,3) |
Topological data
| Vertex degrees | {3,4,6} |
| 2D vertex symbol | {6.10.10}{10.10.10.10}{10.10.10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.1:72:55 56 4 6 49 50 10 12 67 68 16 18 61 62 22 24 31 32 28 30 34 36 43 44 40 42 46 48 52 54 58 60 64 66 70 72,61 3 5 18 67 9 11 24 43 15 17 37 21 23 55 27 29 42 49 33 35 48 39 41 45 47 51 53 66 57 59 72 63 65 69 71,2 63 64 11 12 8 69 70 14 45 46 29 30 20 39 40 35 36 26 57 58 32 51 52 38 53 54 44 59 60 50 56 62 71 72 68:6 10 10 10,3 4 6 3 3 4 3 4 3 3> {(2, 62): 't1', (2, 63): 't1', (2, 56): 't3^-1', (2, 57): 't3^-1', (0, 60): 'tau3^-1', (0, 61): 'tau3^-1', (0, 48): 'tau3^-1', (0, 49): 'tau3^-1', (0, 54): 'tau2', (0, 55): 'tau2', (2, 50): 't2^-1', (2, 51): 't2^-1', (2, 44): 't3^-1', (0, 43): 'tau1^-1', (2, 38): 't2^-1', (2, 39): 't2^-1', (0, 36): 'tau1', (0, 24): 'tau1', (0, 25): 'tau1', (2, 15): 't3', (2, 8): 't1^-1', (2, 9): 't1^-1', (0, 12): 'tau2^-1', (0, 13): 'tau2^-1', (1, 66): 't1', (1, 60): 't1', (1, 48): 't2^-1', (1, 42): 't3^-1', (1, 24): 't3', (1, 18): 't2'}