U-tiling: UQC3461
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc546 |
*2626 |
(3,3,2) |
{12,3,12} |
{5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5}... |
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
|
|
sqc3910
|
|
R-3m |
166 |
rhombohedral |
{12,3,12} |
8 |
(3,3) |
|
G
|
False
|
|
sqc3900
|
|
R-3m |
166 |
rhombohedral |
{12,3,12} |
8 |
(3,4) |
|
D
|
False
|
|
sqc3920
|
|
R-3m |
166 |
rhombohedral |
{12,3,12} |
8 |
(3,3) |
Topological data
| Vertex degrees | {12,3,12} |
| 2D vertex symbol | {5.5.5.5.5.5.5.5.5.5.5.5}{5.4.5}{5.4.5.4.5.4.5.4.5.4.5.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.1:84:64 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 4 68 13 77 9 11 61 84 16 18 82 34 56 23 25 75 41 49 30 32 40 70 37 39 63 44 46 54 62 51 53 69 58 60 65 67 72 74 83 79 81,15 9 10 6 7 22 13 14 30 31 20 21 37 38 27 28 43 34 35 50 41 42 58 59 48 49 65 66 55 56 71 62 63 78 69 70 79 80 76 77 83 84:5 4 5 5 4 5 4 5 5,12 3 12 3 3 3 3 3> {(0, 56): 'tau3^-1', (0, 63): 'tau2', (1, 62): 't2^-1', (1, 81): 'tau2', (1, 48): 't2^-1', (1, 83): 't1', (0, 49): 'tau1^-1', (1, 53): 'tau1^-1', (1, 55): 't3^-1', (0, 21): 'tau3', (1, 74): 'tau3^-1', (0, 14): 'tau2^-1', (1, 76): 't1', (1, 32): 'tau1', (0, 35): 'tau1^-1', (1, 67): 'tau2', (1, 69): 't3^-1', (1, 60): 'tau3^-1'}