U-tiling: UQC488
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc246 |
*2626 |
(2,2,3) |
{4,12} |
{6.6.4.6}{6.4.6.4.6.4.6.4.6.4.6.4} |
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
|
|
sqc2802
|
|
R-3m |
166 |
rhombohedral |
{12,4} |
7 |
(2,2) |
|
G
|
False
|
|
sqc2807
|
|
R-3m |
166 |
rhombohedral |
{12,4} |
7 |
(2,3) |
|
D
|
False
|
|
sqc2884
|
|
R-3m |
166 |
rhombohedral |
{12,4} |
7 |
(2,2) |
Topological data
| Vertex degrees | {4,12} |
| 2D vertex symbol | {6.6.4.6}{6.4.6.4.6.4.6.4.6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.2:72:3 4 11 12 9 10 15 16 29 30 21 22 35 36 27 28 33 34 39 40 53 54 45 46 59 60 51 52 57 58 63 64 71 72 69 70,55 62 15 5 18 49 68 21 11 24 67 44 17 61 38 23 31 56 39 29 42 50 45 35 48 43 41 47 63 53 66 69 59 72 65 71,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72:4 6 6 4 6 6 4,12 4 4 4 4 4 4> {(1, 24): 'tau1', (1, 67): 't1', (1, 54): 'tau2', (1, 48): 'tau3^-1', (1, 37): 't2^-1', (1, 60): 'tau3^-1', (1, 42): 'tau1^-1', (1, 66): 'tau2', (1, 55): 't3^-1', (1, 49): 't2^-1', (1, 61): 't1', (1, 43): 't3^-1', }