U-tiling: UQC3619
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc791 |
*2626 |
(3,4,2) |
{18,3,12} |
{3.5.3.3.5.3.3.5.3.3.5.3.3.5.3.3... |
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
|
|
sqc4768
|
|
R-3m |
166 |
rhombohedral |
{18,3,12} |
8 |
(3,4) |
|
G
|
False
|
|
sqc4767
|
|
R-3m |
166 |
rhombohedral |
{18,3,12} |
8 |
(3,5) |
|
D
|
False
|
|
sqc4760
|
|
R-3m |
166 |
rhombohedral |
{18,3,12} |
8 |
(3,4) |
Topological data
| Vertex degrees | {18,3,12} |
| 2D vertex symbol | {3.5.3.3.5.3.3.5.3.3.5.3.3.5.3.3.5.3}{3.5.5}{5.5.5.5.5.5.5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<30.2:96:17 3 5 7 88 25 11 13 15 96 19 21 23 64 27 29 31 56 49 35 37 39 80 57 43 45 47 72 51 53 55 59 61 63 81 67 69 71 89 75 77 79 83 85 87 91 93 95,2 19 84 6 8 10 27 92 14 16 18 60 22 24 26 52 30 32 34 51 76 38 40 42 59 68 46 48 50 54 56 58 62 64 66 83 70 72 74 91 78 80 82 86 88 90 94 96,73 4 5 22 23 16 65 12 13 30 31 89 20 21 40 81 28 29 48 41 36 37 54 55 44 45 62 63 57 52 53 72 60 61 80 68 69 86 87 76 77 94 95 84 85 96 92 93:3 5 3 5 5 5 3 5 3 5 3 3,18 3 12 3 3 3 3 3> {(1, 91): 't1', (2, 56): 'tau1^-1', (0, 63): 't3^-1', (1, 59): 't3^-1', (1, 83): 't1', (2, 16): 'tau2^-1', (0, 55): 't2^-1', (0, 7): 't1^-1', (1, 75): 't3^-1', (2, 8): 'tau3', (2, 40): 'tau1^-1', (0, 47): 't2', (1, 51): 't2^-1', (2, 24): 'tau3', (1, 67): 't2^-1', (2, 0): 'tau2^-1', (0, 39): 't3', (0, 15): 't1^-1'}