U-tiling: UQC153
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc153 |
*2626 |
(2,2,2) |
{18,12} |
{3.4.3.3.4.3.3.4.3.3.4.3.3.4.3.3... |
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
|
True
|
|
sqc214
|
|
R-3m |
166 |
rhombohedral |
{12,6} |
2 |
(2,2) |
|
G
|
True
|
|
sqc542
|
|
R-3m |
166 |
rhombohedral |
{14,8} |
2 |
(2,3) |
|
D
|
True
|
|
sqc217
|
|
R-3m |
166 |
rhombohedral |
{12,6} |
2 |
(2,2) |
Topological data
| Vertex degrees | {18,12} |
| 2D vertex symbol | {3.4.3.3.4.3.3.4.3.3.4.3.3.4.3.3.4.3}{3.4.3.4.3.4.3.4.3.4.3.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:60:46 3 5 41 8 10 56 13 15 51 18 20 26 23 25 28 30 36 33 35 38 40 43 45 48 50 53 55 58 60,2 48 9 55 7 43 60 12 58 24 40 17 53 29 35 22 28 50 27 45 32 38 44 37 49 42 47 52 59 57,11 4 5 16 9 10 14 15 19 20 31 24 25 36 29 30 34 35 39 40 51 44 45 56 49 50 54 55 59 60:3 4 3 3 4 3 4 3 3,18 12> {(1, 57): 'tau2', (1, 59): 't1', (0, 25): 'tau1^-1', (1, 27): 'tau1^-1', (1, 32): 'tau1', (0, 50): 'tau3^-1', (0, 55): 'tau2', (1, 52): 'tau3^-1', (1, 49): 't3^-1', (0, 40): 'tau3^-1', (1, 42): 'tau3^-1', (1, 44): 't2^-1', (1, 47): 'tau2', (0, 45): 'tau2', (0, 35): 'tau1^-1', (1, 54): 't1', (1, 34): 't2^-1', (1, 39): 't3^-1'}