U-tiling: UQC39
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc111 |
*2626 |
(1,3,3) |
{5} |
{6.4.12.12.4} |
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
|
|
sqc12
|
bnn
|
P6/mmm |
191 |
hexagonal |
{5} |
2 |
(1,2) |
|
G
|
False
|
|
sqc1564
|
wlk
|
R-3 |
148 |
rhombohedral |
{5} |
6 |
(1,3) |
|
D
|
False
|
|
sqc1566
|
sth
|
R-3m |
166 |
rhombohedral |
{5} |
6 |
(1,3) |
Topological data
| Vertex degrees | {5} |
| 2D vertex symbol | {6.4.12.12.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.2:60:46 52 53 9 10 41 57 58 56 37 38 24 25 51 32 33 29 30 26 47 48 42 43 36 44 45 49 50 59 60,2 4 15 7 9 20 12 14 17 19 22 24 35 27 29 40 32 34 37 39 42 44 55 47 49 60 52 54 57 59,11 3 5 16 8 10 13 15 18 20 31 23 25 36 28 30 33 35 38 40 51 43 45 56 48 50 53 55 58 60:12 4 6 4 4,5 5 5 5 5 5> {(0, 51): 't1', (0, 25): 'tau1^-1', (0, 41): 't2^-1', (0, 50): 'tau3^-1', (0, 31): 't2^-1', (0, 40): 'tau3^-1', (0, 52): 't1', (0, 42): 't2^-1', (0, 55): 'tau2', (0, 32): 't2^-1', (0, 45): 'tau2', (0, 35): 'tau1^-1', (0, 57): 't1', (0, 47): 't3^-1', (0, 56): 't1', (0, 37): 't3^-1', (0, 46): 't3^-1', (0, 36): 't3^-1', }