U-tiling: UQC3384
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
|
|
sqc3907
|
|
R-3m |
166 |
rhombohedral |
{18,3,6} |
8 |
(3,3) |
|
G
|
False
|
|
sqc3901
|
|
R-3m |
166 |
rhombohedral |
{18,3,6} |
8 |
(3,4) |
|
D
|
False
|
|
sqc3917
|
|
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
<20.1:84:64 3 5 7 57 10 12 14 78 17 19 21 71 24 26 28 36 31 33 35 38 40 42 50 45 47 49 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84,2 66 11 6 77 9 59 13 84 16 80 32 20 56 23 73 39 27 49 30 38 34 70 37 41 63 44 52 60 48 51 67 55 58 62 65 69 72 81 76 79 83,15 4 5 69 70 22 11 12 62 63 18 19 83 84 25 26 76 77 43 32 33 41 42 50 39 40 46 47 55 56 53 54 71 60 61 78 67 68 74 75 81 82:3 8 3 3 8 3 8 3 3,18 3 6 3 3 3 3 3> {(2, 61): 'tau3^-1', (2, 62): 'tau3^-1', (0, 63): 'tau2', (2, 54): 'tau1^-1', (0, 49): 'tau1^-1', (2, 48): 'tau1', (0, 56): 'tau3^-1', (2, 40): 'tau1^-1', (2, 41): 'tau1^-1', (0, 35): 'tau1^-1', (2, 19): 'tau2^-1', (2, 27): 'tau3', (2, 20): 'tau2^-1', (1, 83): 't1', (0, 21): 'tau3', (1, 72): 'tau3^-1', (0, 14): 'tau2^-1', (1, 76): 't1', (1, 79): 'tau2', (1, 65): 'tau2', (2, 5): 'tau2^-1', (2, 6): 'tau2^-1', (1, 69): 't3^-1', (1, 62): 't2^-1', (1, 48): 't2^-1', (1, 51): 'tau1^-1', (1, 55): 't3^-1', (1, 37): 'tau1^-1', (1, 9): 'tau3', (2, 75): 'tau3^-1'}