U-tiling: UQC189
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc171 |
*2626 |
(2,2,2) |
{3,4} |
{18.12.18}{18.12.18.12} |
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
|
|
sqc1575
|
fof
|
R-3m |
166 |
rhombohedral |
{3,4} |
9 |
(2,2) |
|
G
|
False
|
|
sqc1574
|
|
R-3 |
148 |
rhombohedral |
{3,4} |
9 |
(2,3) |
|
D
|
False
|
|
sqc1572
|
fog
|
R-3m |
166 |
rhombohedral |
{3,4} |
9 |
(2,2) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {18.12.18}{18.12.18.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:60:11 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 60,2 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 57,46 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 60:18 12,3 4 3 3 4 3 4 3 3> {(1, 34): 't2^-1', (1, 27): 'tau1^-1', (1, 54): 't1', (1, 57): 'tau2', (1, 44): 't2^-1', (2, 25): 'tau1^-1', (1, 59): 't1', (2, 45): 'tau2', (2, 50): 'tau3^-1', (1, 49): 't3^-1', (2, 35): 'tau1^-1', (1, 52): 'tau3^-1', (1, 39): 't3^-1', (1, 42): 'tau3^-1', (1, 32): 'tau1', (2, 40): 'tau3^-1', (1, 47): 'tau2', (2, 55): 'tau2', }