U-tiling: UQC3501
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc566 |
*2626 |
(3,3,2) |
{3,6,6} |
{5.12.5}{5.5.12.5.5.12}{5.5.5.5.... |
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
|
|
sqc3957
|
|
R-3m |
166 |
rhombohedral |
{3,6,6} |
10 |
(3,3) |
|
G
|
False
|
|
sqc3938
|
|
R-3 |
148 |
rhombohedral |
{3,6,6} |
10 |
(3,4) |
|
D
|
False
|
|
sqc3935
|
|
R-3m |
166 |
rhombohedral |
{3,6,6} |
10 |
(3,3) |
Topological data
| Vertex degrees | {3,6,6} |
| 2D vertex symbol | {5.12.5}{5.5.12.5.5.12}{5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.1:84:64 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 6 18 12 70 9 13 25 63 16 20 33 84 23 27 40 77 30 34 46 42 37 41 53 44 48 61 56 51 55 68 58 62 74 65 69 81 72 76 82 79 83,15 4 5 76 77 22 11 12 83 84 18 19 55 56 25 26 48 49 43 32 33 69 70 50 39 40 62 63 46 47 53 54 71 60 61 78 67 68 74 75 81 82:5 12 5 5 5 5 5,3 6 6 3 6 6 3 3 3 3> {(2, 61): 't2^-1', (2, 62): 't2^-1', (0, 63): 'tau2', (2, 54): 't3^-1', (2, 55): 't3^-1', (2, 48): 't2^-1', (0, 56): 'tau3^-1', (0, 42): 'tau1', (2, 47): 't2^-1', (0, 35): 'tau1^-1', (2, 33): 't3', (2, 34): 't3', (1, 83): 'tau2', (0, 21): 'tau3', (2, 12): 't1^-1', (2, 13): 't1^-1', (0, 14): 'tau2^-1', (1, 76): 'tau3^-1', (2, 5): 't1^-1', (2, 6): 't1^-1', (1, 69): 'tau2', (1, 62): 'tau3^-1', (1, 48): 'tau1', (1, 41): 'tau1^-1'}