U-tiling: UQC487
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc246 |
*2626 |
(2,2,3) |
{4,12} |
{6.6.4.6}{6.4.6.4.6.4.6.4.6.4.6.4} |
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
|
|
sqc2884
|
|
R-3m |
166 |
rhombohedral |
{12,4} |
7 |
(2,2) |
|
G
|
False
|
|
sqc2801
|
|
R-3m |
166 |
rhombohedral |
{12,4} |
7 |
(2,3) |
|
D
|
False
|
|
sqc2802
|
|
R-3m |
166 |
rhombohedral |
{12,4} |
7 |
(2,2) |
Topological data
| Vertex degrees | {4,12} |
| 2D vertex symbol | {6.6.4.6}{6.4.6.4.6.4.6.4.6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.1:72:3 4 65 66 9 10 71 72 15 16 47 48 21 22 41 42 27 28 59 60 33 34 53 54 39 40 45 46 51 52 57 58 63 64 69 70,13 8 57 5 60 19 51 11 54 26 69 17 72 32 63 23 66 37 33 29 36 43 35 50 45 41 48 56 47 61 53 67 59 68 65 71,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72:4 6 6 4 6 6 4,12 4 4 4 4 4 4> {(0, 41): 't2^-1', (1, 68): 'tau2', (0, 5): 't1^-1', (0, 59): 't3^-1', (1, 56): 'tau2', (0, 52): 't2^-1', (1, 41): 'tau1', (1, 71): 'tau2', (1, 32): 'tau1^-1', (0, 46): 't3^-1', (1, 44): 'tau1^-1', (0, 53): 't2^-1', (1, 59): 'tau2', (0, 10): 't1^-1', (1, 50): 'tau3^-1', (0, 47): 't3^-1', (1, 62): 'tau3^-1', (1, 53): 'tau3^-1', (1, 35): 'tau1^-1', (0, 40): 't2^-1', (0, 11): 't1^-1', (1, 65): 'tau3^-1', (0, 4): 't1^-1', (0, 58): 't3^-1', }