U-tiling: UQC127
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
|
|
sqc1556
|
|
R-3m |
166 |
rhombohedral |
{4,6} |
7 |
(2,3) |
|
G
|
False
|
|
sqc1559
|
|
R-3 |
148 |
rhombohedral |
{4,6} |
7 |
(2,3) |
|
D
|
False
|
|
sqc1560
|
|
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
<4.2:60:11 7 8 5 16 10 22 23 15 27 28 20 31 25 36 30 42 43 35 47 48 40 51 45 56 50 57 58 55 60,2 4 55 7 9 60 12 14 40 17 19 35 22 24 50 27 29 45 32 34 37 39 42 44 47 49 52 54 57 59,46 3 49 50 41 8 44 45 56 13 59 60 51 18 54 55 26 23 29 30 28 36 33 39 40 38 43 48 53 58:12 6 6 6,4 6 4 4 4 4 4> {(2, 58): 'tau2', (2, 59): 'tau2', (2, 53): 'tau3^-1', (2, 54): 'tau3^-1', (2, 55): 'tau2', (2, 48): 'tau2', (2, 49): 'tau2', (2, 50): 'tau3^-1', (2, 44): 'tau3^-1', (2, 45): 'tau2', (2, 40): 'tau3^-1', (2, 43): 'tau3^-1', (2, 38): 'tau1^-1', (2, 39): 'tau1^-1', (2, 35): 'tau1^-1', (2, 28): 'tau1^-1', (2, 29): 'tau1^-1', (2, 25): 'tau1^-1', (1, 59): 't1', (1, 49): 't3^-1', (1, 54): 't1', (1, 44): 't2^-1', (1, 34): 't2^-1', (1, 39): 't3^-1'}