U-tiling: UQC154
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
|
|
sqc217
|
|
R-3m |
166 |
rhombohedral |
{12,6} |
2 |
(2,2) |
|
G
|
True
|
|
sqc543
|
reo-d
|
Pm-3m |
221 |
cubic |
{14,8} |
2 |
(2,2) |
|
D
|
True
|
|
sqc214
|
|
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
<6.2:60:11 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 60,2 13 54 10 7 18 59 12 39 25 17 34 30 22 33 49 27 38 44 32 45 37 50 42 53 47 58 52 60 57,46 4 5 41 9 10 56 14 15 51 19 20 26 24 25 29 30 36 34 35 39 40 44 45 49 50 54 55 59 60:3 4 3 4 4 3 3 3 3,18 12> {(1, 58): 't1', (2, 25): 'tau1^-1', (1, 48): 't3^-1', (2, 55): 'tau2', (1, 53): 't1', (2, 50): 'tau3^-1', (2, 45): 'tau2', (1, 43): 't2^-1', (2, 40): 'tau3^-1', (1, 33): 't2^-1', (1, 38): 't3^-1', (2, 35): 'tau1^-1'}