U-tiling: UQC3462
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
|
|
sqc3920
|
|
R-3m |
166 |
rhombohedral |
{12,3,12} |
8 |
(3,3) |
|
G
|
False
|
|
sqc3919
|
|
R-3m |
166 |
rhombohedral |
{12,3,12} |
8 |
(3,4) |
|
D
|
False
|
|
sqc3910
|
|
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
<24.2:84:15 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 4 19 76 14 9 11 26 83 16 18 55 35 23 25 48 42 30 32 47 69 37 39 54 62 44 46 63 51 53 70 58 60 75 65 67 82 72 74 84 79 81,64 72 73 6 7 57 79 80 13 14 78 51 52 20 21 71 44 45 27 28 36 65 66 34 35 58 59 41 42 50 48 49 55 56 62 63 69 70 76 77 83 84:5 4 5 4 4 5 5 5 5,12 3 12 3 3 3 3 3> {(2, 63): 'tau2', (2, 56): 'tau3^-1', (2, 57): 't2^-1', (2, 58): 't2^-1', (2, 49): 'tau1^-1', (2, 50): 't3^-1', (2, 51): 't3^-1', (2, 44): 't2^-1', (2, 43): 't2^-1', (2, 35): 'tau1^-1', (2, 29): 't3', (2, 30): 't3', (2, 21): 'tau3', (1, 82): 't1', (1, 75): 't1', (2, 14): 'tau2^-1', (2, 8): 't1^-1', (2, 9): 't1^-1', (2, 1): 't1^-1', (2, 2): 't1^-1', (1, 61): 't2^-1', (1, 54): 't3^-1', (1, 47): 't2^-1', (1, 33): 't3'}