U-tiling: UQC126
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc124 |
*2626 |
(2,3,2) |
{4,6} |
{12.6.6.12}{6.6.6.6.6.6} |
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
|
|
sqc1560
|
|
R-3m |
166 |
rhombohedral |
{4,6} |
7 |
(2,3) |
|
G
|
False
|
|
sqc1558
|
|
R-3 |
148 |
rhombohedral |
{4,6} |
7 |
(2,3) |
|
D
|
False
|
|
sqc1556
|
|
R-3m |
166 |
rhombohedral |
{4,6} |
7 |
(2,3) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {12.6.6.12}{6.6.6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:60:46 52 53 5 41 57 58 10 56 37 38 15 51 32 33 20 26 47 48 25 42 43 30 36 35 40 45 50 55 60,2 4 10 7 9 12 14 25 17 19 30 22 24 27 29 32 34 45 37 39 50 42 44 47 49 52 54 60 57 59,11 3 14 15 16 8 19 20 13 18 31 23 34 35 36 28 39 40 33 38 51 43 54 55 56 48 59 60 53 58:12 6 6 6,4 6 4 4 4 4 4> {(0, 56): 't1', (0, 57): 't1', (0, 31): 't2^-1', (0, 50): 'tau3^-1', (0, 51): 't1', (0, 55): 'tau2', (0, 52): 't1', (0, 42): 't2^-1', (0, 25): 'tau1^-1', (0, 40): 'tau3^-1', (0, 41): 't2^-1', (0, 46): 't3^-1', (0, 47): 't3^-1', (0, 45): 'tau2', (0, 35): 'tau1^-1', (0, 32): 't2^-1', (0, 36): 't3^-1', (0, 37): 't3^-1'}