U-tiling: UQC457
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
|
|
sqc2655
|
|
R-3m |
166 |
rhombohedral |
{3,6} |
9 |
(2,3) |
|
G
|
False
|
|
sqc2906
|
|
R-3m |
166 |
rhombohedral |
{3,6} |
9 |
(2,3) |
|
D
|
False
|
|
sqc2905
|
|
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
<15.2:72:3 8 64 65 12 9 70 71 15 26 46 47 30 21 32 40 41 36 27 58 59 33 52 53 39 50 54 45 56 60 51 57 63 68 72 69,2 4 59 18 8 10 53 24 14 16 71 20 22 65 26 28 35 42 32 34 48 38 40 47 44 46 50 52 66 56 58 72 62 64 68 70,13 6 15 5 19 12 21 11 18 17 24 23 37 30 39 29 43 36 45 35 42 41 48 47 61 54 63 53 67 60 69 59 66 65 72 71:8 6 6 8 8,3 6 3 6 3 6 3 3 3> {(1, 34): 'tau1^-1', (0, 39): 't2^-1', (0, 51): 't2^-1', (0, 9): 't1^-1', (0, 63): 't1', (0, 40): 't2^-1', (0, 52): 't2^-1', (0, 45): 't3^-1', (0, 10): 't1^-1', (1, 58): 'tau2', (1, 40): 'tau1', (1, 70): 'tau2', (0, 57): 't3^-1', (1, 64): 'tau3^-1', (0, 46): 't3^-1', (0, 4): 't1^-1', (1, 52): 'tau3^-1', (0, 58): 't3^-1', }