U-tiling: UQC444
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc197 |
*2626 |
(2,3,3) |
{10,6} |
{6.4.3.3.4.6.4.3.3.4}{3.3.3.3.3.3} |
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
|
|
sqc2656
|
|
R-3m |
166 |
rhombohedral |
{6,10} |
4 |
(2,3) |
|
G
|
False
|
|
sqc2657
|
|
R-3m |
166 |
rhombohedral |
{6,10} |
4 |
(2,3) |
|
D
|
False
|
|
sqc2568
|
|
Pm-3m |
221 |
cubic |
{6,10} |
4 |
(2,2) |
Topological data
| Vertex degrees | {10,6} |
| 2D vertex symbol | {6.4.3.3.4.6.4.3.3.4}{3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.2:72:2 9 10 65 66 8 71 72 14 27 28 47 48 20 33 34 41 42 26 59 60 32 53 54 38 51 52 44 57 58 50 56 62 69 70 68,7 3 5 60 9 11 54 25 15 17 72 31 21 23 66 27 29 36 33 35 49 39 41 48 55 45 47 51 53 57 59 67 63 65 69 71,13 14 4 6 19 20 10 12 16 18 22 24 37 38 28 30 43 44 34 36 40 42 46 48 61 62 52 54 67 68 58 60 64 66 70 72:3 4 6 3 4 3 4 3 3 3,6 10 10 10> {(1, 53): 'tau3^-1', (1, 35): 'tau1^-1', (0, 41): 't2^-1', (1, 65): 'tau3^-1', (0, 40): 't2^-1', (0, 53): 't2^-1', (1, 59): 'tau2', (0, 11): 't1^-1', (0, 52): 't2^-1', (0, 10): 't1^-1', (1, 41): 'tau1', (1, 71): 'tau2', (0, 47): 't3^-1', (0, 5): 't1^-1', (0, 46): 't3^-1', (0, 59): 't3^-1', (0, 4): 't1^-1', (0, 58): 't3^-1', }