U-tiling: UQC3385
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc501 |
*2626 |
(3,3,2) |
{18,3,6} |
{3.8.3.3.8.3.3.8.3.3.8.3.3.8.3.3... |
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
|
False
|
|
sqc3917
|
|
R-3m |
166 |
rhombohedral |
{18,3,6} |
8 |
(3,3) |
|
G
|
False
|
|
sqc3918
|
|
R-3m |
166 |
rhombohedral |
{18,3,6} |
8 |
(3,4) |
|
D
|
False
|
|
sqc3907
|
|
R-3m |
166 |
rhombohedral |
{18,3,6} |
8 |
(3,3) |
Topological data
| Vertex degrees | {18,3,6} |
| 2D vertex symbol | {3.8.3.3.8.3.3.8.3.3.8.3.3.8.3.3.8.3}{3.8.8}{8.8.8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.2:84:15 3 5 7 22 10 12 14 17 19 21 24 26 28 43 31 33 35 50 38 40 42 45 47 49 52 54 56 71 59 61 63 78 66 68 70 73 75 77 80 82 84,2 17 74 6 14 9 24 81 13 16 53 20 35 23 46 27 42 30 45 67 34 37 52 60 41 44 48 63 51 55 70 58 73 62 65 80 69 72 76 84 79 83,64 4 5 20 21 57 11 12 27 28 78 18 19 71 25 26 36 32 33 48 49 39 40 55 56 50 46 47 53 54 60 61 76 77 67 68 83 84 74 75 81 82:3 8 3 8 8 3 3 3 3,18 3 6 3 3 3 3 3> {(1, 59): 't2^-1', (2, 63): 'tau2', (2, 56): 'tau3^-1', (2, 21): 'tau3', (2, 49): 'tau1^-1', (1, 52): 't3^-1', (1, 73): 't1', (2, 14): 'tau2^-1', (1, 10): 't1^-1', (1, 45): 't2^-1', (1, 66): 't3^-1', (2, 35): 'tau1^-1'}