U-tiling: UQC3336
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
|
|
sqc3913
|
|
R-3m |
166 |
rhombohedral |
{3,4,12} |
10 |
(3,4) |
|
G
|
False
|
|
sqc3915
|
|
R-3m |
166 |
rhombohedral |
{3,4,12} |
10 |
(3,4) |
|
D
|
False
|
|
sqc3909
|
|
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
<18.2:84:15 16 4 6 21 22 23 11 13 28 18 20 25 27 43 44 32 34 49 50 51 39 41 56 46 48 53 55 71 72 60 62 77 78 79 67 69 84 74 76 81 83,8 3 5 7 10 12 14 29 17 19 21 36 24 26 28 31 33 35 38 40 42 57 45 47 49 64 52 54 56 59 61 63 66 68 70 78 73 75 77 80 82 84,2 10 11 75 76 70 9 82 83 63 16 31 32 54 55 84 23 38 39 47 48 77 30 68 69 42 37 61 62 44 59 60 56 51 66 67 58 65 72 80 81 79:6 6 6 6 6 6 6,3 4 12 3 4 3 4 3 3 3> {(2, 60): 't2^-1', (2, 61): 't2^-1', (2, 62): 'tau3^-1', (2, 27): 'tau3', (2, 20): 'tau2^-1', (2, 53): 't3^-1', (2, 54): 't3^-1', (2, 55): 'tau1^-1', (2, 12): 't1^-1', (2, 46): 't2^-1', (2, 47): 't2^-1', (2, 41): 'tau1^-1', (2, 11): 't1^-1', (2, 4): 't1^-1', (2, 5): 't1^-1', (2, 6): 'tau2^-1', (2, 32): 't3', (2, 33): 't3'}