U-tiling: UQC3335
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc433 |
*2626 |
(3,4,2) |
{3,4,12} |
{6.6.6}{6.6.6.6}{6.6.6.6.6.6.6.6... |
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
|
|
sqc3909
|
|
R-3m |
166 |
rhombohedral |
{3,4,12} |
10 |
(3,4) |
|
G
|
False
|
|
sqc3899
|
|
R-3m |
166 |
rhombohedral |
{3,4,12} |
10 |
(3,4) |
|
D
|
False
|
|
sqc3913
|
|
R-3m |
166 |
rhombohedral |
{3,4,12} |
10 |
(3,4) |
Topological data
| Vertex degrees | {3,4,12} |
| 2D vertex symbol | {6.6.6}{6.6.6.6}{6.6.6.6.6.6.6.6.6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.1:84:64 65 4 6 70 57 58 11 13 63 78 79 18 20 84 71 72 25 27 77 36 37 32 34 42 39 41 50 51 46 48 56 53 55 60 62 67 69 74 76 81 83,71 3 5 7 78 10 12 14 50 17 19 21 43 24 26 28 64 31 33 35 57 38 40 42 45 47 49 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84,2 73 74 12 13 21 9 80 81 28 16 52 53 33 34 23 45 46 40 41 30 66 67 49 37 59 60 56 44 61 62 51 68 69 58 77 65 84 72 82 83 79:6 6 6 6 6 6 6,3 4 12 3 3 4 3 4 3 3> {(0, 56): 'tau3^-1', (0, 57): 'tau3^-1', (0, 62): 'tau3^-1', (0, 63): 'tau2', (2, 58): 't2^-1', (2, 59): 't2^-1', (0, 50): 'tau1^-1', (2, 16): 't3', (0, 48): 'tau1', (0, 49): 'tau1^-1', (0, 41): 'tau1^-1', (0, 35): 'tau1^-1', (0, 36): 'tau1^-1', (0, 27): 'tau3', (2, 30): 't3', (2, 31): 't3', (2, 24): 't2', (2, 23): 't2', (0, 22): 'tau3', (2, 17): 't3', (0, 20): 'tau2^-1', (0, 21): 'tau3', (1, 77): 't1', (0, 15): 'tau2^-1', (2, 10): 't1^-1', (0, 14): 'tau2^-1', (0, 1): 'tau2^-1', (0, 6): 'tau2^-1', (2, 9): 't1^-1', (1, 56): 't2^-1', (1, 63): 't3^-1', (1, 49): 't3^-1', (1, 42): 't2^-1', (2, 72): 't1', (1, 0): 't1^-1', (2, 3): 't1^-1'}