U-tiling: UQC3433
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
|
|
sqc3956
|
|
R-3m |
166 |
rhombohedral |
{4,12,6} |
8 |
(3,3) |
|
G
|
False
|
|
sqc3933
|
|
R-3m |
166 |
rhombohedral |
{4,12,6} |
8 |
(3,4) |
|
D
|
False
|
|
sqc3932
|
|
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
<22.2:84:15 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 17 6 12 77 9 24 13 84 16 20 33 56 23 27 40 49 30 45 34 70 37 52 41 63 44 48 61 51 55 68 58 73 62 65 80 69 72 76 82 79 83,64 4 5 69 70 57 11 12 62 63 78 18 19 83 84 71 25 26 76 77 36 32 33 41 42 39 40 50 46 47 55 56 53 54 60 61 67 68 74 75 81 82:3 8 3 8 8 3 3 3 3,4 12 6 4 4 4 4 4> {(2, 61): 'tau3^-1', (2, 62): 'tau3^-1', (2, 63): 'tau2', (2, 56): 'tau3^-1', (2, 54): 'tau1^-1', (2, 55): 'tau1^-1', (2, 49): 'tau1^-1', (2, 40): 'tau1^-1', (2, 41): 'tau1^-1', (2, 35): 'tau1^-1', (2, 26): 'tau3', (2, 27): 'tau3', (2, 20): 'tau2^-1', (2, 21): 'tau3', (1, 83): 't1', (2, 19): 'tau2^-1', (2, 14): 'tau2^-1', (1, 76): 't1', (2, 5): 'tau2^-1', (2, 6): 'tau2^-1', (1, 62): 't2^-1', (1, 48): 't2^-1', (1, 55): 't3^-1', (1, 34): 't3'}