U-tiling: UQC622
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc409 |
*2626 |
(2,3,3) |
{4,18} |
{6.6.3.6}{6.3.3.6.3.3.6.3.3.6.3.... |
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
|
|
sqc3906
|
|
R-3m |
166 |
rhombohedral |
{18,4} |
7 |
(2,3) |
|
G
|
False
|
|
sqc3947
|
|
R-3m |
166 |
rhombohedral |
{18,4} |
7 |
(2,4) |
|
D
|
False
|
|
sqc3949
|
|
R-3m |
166 |
rhombohedral |
{18,4} |
7 |
(2,3) |
Topological data
| Vertex degrees | {4,18} |
| 2D vertex symbol | {6.6.3.6}{6.3.3.6.3.3.6.3.3.6.3.3.6.3.3.6.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.2:84:64 4 5 76 77 57 11 12 83 84 78 18 19 55 56 71 25 26 48 49 36 32 33 69 70 39 40 62 63 50 46 47 53 54 60 61 67 68 74 75 81 82,2 10 67 6 70 9 60 13 63 16 31 81 20 84 23 38 74 27 77 30 39 34 42 37 41 44 59 53 48 56 51 66 55 58 62 65 69 72 80 76 79 83,15 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 84:3 6 6 3 3 6 3 6 3 3,18 4 4 4 4 4 4> {(1, 3): 'tau2^-1', (1, 48): 'tau1', (0, 62): 't2^-1', (0, 55): 't3^-1', (1, 83): 'tau2', (0, 12): 't1^-1', (0, 34): 't3', (0, 5): 't1^-1', (0, 48): 't2^-1', (1, 76): 'tau3^-1', (0, 63): 'tau2', (0, 13): 't1^-1', (0, 35): 'tau1^-1', (1, 41): 'tau1^-1', (0, 56): 'tau3^-1', (0, 49): 'tau1^-1', (0, 6): 't1^-1', (1, 59): 'tau3^-1', (0, 47): 't2^-1', (0, 14): 'tau2^-1', (1, 62): 'tau3^-1', (0, 61): 't2^-1', (0, 21): 'tau3', (0, 33): 't3', (1, 69): 'tau2', (0, 54): 't3^-1', (1, 38): 'tau1^-1', (1, 80): 'tau2', (1, 52): 'tau1^-1', (1, 73): 'tau3^-1', }