U-tiling: UQC3304
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
|
|
sqc2583
|
epu
|
R-3m |
166 |
rhombohedral |
{12,3,6} |
8 |
(3,2) |
|
G
|
False
|
|
sqc2585
|
|
R-3m |
166 |
rhombohedral |
{12,3,6} |
8 |
(3,3) |
|
D
|
False
|
|
sqc2885
|
epv
|
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
<16.1:72:2 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 72,55 14 63 5 12 49 20 69 11 67 45 17 30 61 39 23 36 31 38 57 29 44 51 35 43 41 54 47 60 62 53 68 59 65 72 71,3 4 17 18 9 10 23 24 15 16 21 22 27 28 41 42 33 34 47 48 39 40 45 46 51 52 65 66 57 58 71 72 63 64 69 70:4 8 4 8 8 4,12 3 6 3 3 3 3 3> {(1, 56): 't3^-1', (1, 60): 'tau3^-1', (1, 62): 't1', (1, 48): 'tau3^-1', (1, 50): 't2^-1', (1, 24): 'tau1', (1, 54): 'tau2', (1, 42): 'tau1^-1', (1, 44): 't3^-1', (1, 66): 'tau2', (1, 68): 't1', (1, 38): 't2^-1'}