U-tiling: UQC456
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc226 |
*2626 |
(2,3,3) |
{3,6} |
{6.8.8}{8.6.8.8.6.8} |
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
|
|
sqc2905
|
|
R-3m |
166 |
rhombohedral |
{3,6} |
9 |
(2,3) |
|
G
|
False
|
|
sqc2908
|
|
R-3m |
166 |
rhombohedral |
{3,6} |
9 |
(2,3) |
|
D
|
False
|
|
sqc2655
|
|
R-3m |
166 |
rhombohedral |
{3,6} |
9 |
(2,3) |
Topological data
| Vertex degrees | {3,6} |
| 2D vertex symbol | {6.8.8}{8.6.8.8.6.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.1:72:3 62 10 11 66 9 68 72 15 44 28 29 48 21 38 34 35 42 27 56 60 33 50 54 39 52 53 45 58 59 51 57 63 70 71 69,2 4 17 60 8 10 23 54 14 16 72 20 22 66 26 28 41 36 32 34 47 38 40 48 44 46 50 52 65 56 58 71 62 64 68 70,55 6 57 5 49 12 51 11 67 18 69 17 61 24 63 23 31 30 33 29 36 35 43 42 45 41 48 47 54 53 60 59 66 65 72 71:8 6 6 8 8,3 6 3 6 3 3 3 6 3> {(0, 41): 't2^-1', (2, 14): 'tau2^-1', (2, 56): 'tau2', (0, 55): 't3^-1', (0, 5): 't1^-1', (0, 59): 't3^-1', (2, 54): 'tau2', (2, 32): 'tau1^-1', (2, 24): 'tau1', (2, 50): 'tau3^-1', (2, 44): 'tau1^-1', (1, 41): 'tau1', (1, 71): 'tau2', (2, 62): 'tau3^-1', (0, 49): 't2^-1', (0, 53): 't2^-1', (1, 59): 'tau2', (0, 43): 't3^-1', (2, 12): 'tau2^-1', (0, 47): 't3^-1', (0, 7): 't1^-1', (1, 53): 'tau3^-1', (0, 61): 't1', (1, 35): 'tau1^-1', (0, 11): 't1^-1', (2, 48): 'tau3^-1', (2, 42): 'tau1^-1', (0, 37): 't2^-1', (1, 65): 'tau3^-1', (2, 60): 'tau3^-1', }