U-tiling: UQC568
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc369 |
*2626 |
(2,3,3) |
{5,4} |
{12.3.12.3.12}{3.12.3.12} |
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
|
|
sqc3979
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
9 |
(2,3) |
|
G
|
False
|
|
sqc3980
|
|
R-3 |
148 |
rhombohedral |
{5,4} |
9 |
(2,4) |
|
D
|
False
|
|
sqc3988
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
9 |
(2,3) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {12.3.12.3.12}{3.12.3.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<24.2:84:64 72 73 6 7 57 79 80 13 14 78 51 52 20 21 71 44 45 27 28 36 65 66 34 35 58 59 41 42 50 48 49 55 56 62 63 69 70 76 77 83 84,2 4 19 76 14 9 11 26 83 16 18 55 35 23 25 48 42 30 32 47 69 37 39 54 62 44 46 63 51 53 70 58 60 75 65 67 82 72 74 84 79 81,15 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 84:12 3 12 3 3 3 3 3,5 4 5 4 4 5 5 5 5> {(0, 29): 't3', (0, 51): 't3^-1', (0, 8): 't1^-1', (0, 1): 't1^-1', (1, 33): 't3', (1, 75): 't1', (0, 9): 't1^-1', (0, 63): 'tau2', (0, 30): 't3', (1, 82): 't1', (0, 35): 'tau1^-1', (0, 2): 't1^-1', (0, 56): 'tau3^-1', (0, 49): 'tau1^-1', (1, 54): 't3^-1', (0, 43): 't2^-1', (0, 57): 't2^-1', (0, 14): 'tau2^-1', (0, 50): 't3^-1', (0, 21): 'tau3', (1, 47): 't2^-1', (0, 44): 't2^-1', (1, 61): 't2^-1', (0, 58): 't2^-1', }