U-tiling: UQC648
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc427 |
*2626 |
(2,3,3) |
{5,4} |
{6.3.18.18.3}{3.18.3.18} |
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
|
|
sqc3985
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
9 |
(2,3) |
|
G
|
False
|
|
sqc3983
|
|
R-3 |
148 |
rhombohedral |
{5,4} |
9 |
(2,4) |
|
D
|
False
|
|
sqc3984
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
9 |
(2,3) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {6.3.18.18.3}{3.18.3.18} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<25.2:84:64 4 5 13 14 57 11 12 78 18 19 34 35 71 25 26 41 42 36 32 33 39 40 50 46 47 62 63 53 54 69 70 60 61 67 68 74 75 83 84 81 82,2 6 74 12 21 9 13 81 28 16 20 53 33 23 27 46 40 30 34 67 49 37 41 60 56 44 48 61 51 55 68 58 62 77 65 69 84 72 76 82 79 83,15 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 84:18 3 6 3 3 3 3 3,5 4 5 4 4 5 5 5 5> {(1, 59): 't2^-1', (1, 73): 't1', (0, 14): 'tau2^-1', (1, 66): 't3^-1', (0, 63): 'tau2', (1, 45): 't2^-1', (0, 21): 'tau3', (0, 35): 'tau1^-1', (0, 49): 'tau1^-1', (1, 10): 't1^-1', (0, 56): 'tau3^-1', (1, 52): 't3^-1', }