U-tiling: UQC3432
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc533 |
*2626 |
(3,3,2) |
{4,12,6} |
{3.8.8.3}{3.8.3.8.3.8.3.8.3.8.3.... |
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
|
|
sqc3932
|
|
R-3m |
166 |
rhombohedral |
{4,12,6} |
8 |
(3,3) |
|
G
|
False
|
|
sqc3931
|
|
R-3m |
166 |
rhombohedral |
{4,12,6} |
8 |
(3,4) |
|
D
|
False
|
|
sqc3956
|
|
R-3m |
166 |
rhombohedral |
{4,12,6} |
8 |
(3,3) |
Topological data
| Vertex degrees | {4,12,6} |
| 2D vertex symbol | {3.8.8.3}{3.8.3.8.3.8.3.8.3.8.3.8}{8.8.8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.1:84:64 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 6 75 14 9 59 13 82 16 80 20 54 35 23 73 27 47 42 30 38 34 68 37 41 61 44 52 48 63 51 55 70 58 62 65 69 72 76 84 79 83,15 4 5 20 21 22 11 12 27 28 18 19 25 26 43 32 33 48 49 50 39 40 55 56 46 47 53 54 71 60 61 76 77 78 67 68 83 84 74 75 81 82:3 8 3 3 8 3 8 3 3,4 12 6 4 4 4 4 4> {(0, 56): 'tau3^-1', (1, 58): 'tau3^-1', (0, 63): 'tau2', (1, 81): 't1', (1, 51): 'tau1^-1', (0, 49): 'tau1^-1', (1, 53): 't3^-1', (0, 21): 'tau3', (1, 72): 'tau3^-1', (1, 74): 't1', (0, 14): 'tau2^-1', (1, 79): 'tau2', (1, 46): 't2^-1', (1, 65): 'tau2', (0, 35): 'tau1^-1', (1, 67): 't3^-1', (1, 37): 'tau1^-1', (1, 60): 't2^-1'}