U-tiling: UQC3305
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc314 |
*2626 |
(3,2,2) |
{12,3,6} |
{4.8.4.8.4.8.4.8.4.8.4.8}{4.8.8}... |
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
|
|
sqc2885
|
epv
|
R-3m |
166 |
rhombohedral |
{12,3,6} |
8 |
(3,2) |
|
G
|
False
|
|
sqc2584
|
|
R-3m |
166 |
rhombohedral |
{12,3,6} |
8 |
(3,3) |
|
D
|
False
|
|
sqc2583
|
epu
|
R-3m |
166 |
rhombohedral |
{12,3,6} |
8 |
(3,2) |
Topological data
| Vertex degrees | {12,3,6} |
| 2D vertex symbol | {4.8.4.8.4.8.4.8.4.8.4.8}{4.8.8}{8.8.8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.2:72:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72,13 56 9 5 66 19 50 11 72 68 27 17 48 62 33 23 42 37 32 29 60 43 35 54 44 51 41 57 47 61 53 67 59 69 65 71,3 4 59 60 9 10 53 54 15 16 71 72 21 22 65 66 27 28 35 36 33 34 39 40 47 48 45 46 51 52 57 58 63 64 69 70:4 8 4 8 8 4,12 3 6 3 3 3 3 3> {(2, 58): 'tau2', (2, 59): 'tau2', (2, 52): 'tau3^-1', (2, 53): 'tau3^-1', (2, 46): 'tau1^-1', (2, 47): 'tau1^-1', (2, 34): 'tau1^-1', (2, 35): 'tau1^-1', (2, 22): 'tau3', (2, 23): 'tau3', (2, 16): 'tau2^-1', (2, 17): 'tau2^-1', (1, 65): 't1', (1, 67): 'tau2', (1, 71): 't1', (1, 59): 't3^-1', (1, 61): 'tau3^-1', (1, 49): 'tau3^-1', (1, 53): 't2^-1', (1, 55): 'tau2', (1, 41): 't2^-1', (1, 43): 'tau1^-1', (1, 47): 't3^-1', (1, 25): 'tau1'}