U-tiling: UQC3618
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
|
|
sqc4760
|
|
R-3m |
166 |
rhombohedral |
{18,3,12} |
8 |
(3,4) |
|
G
|
False
|
|
sqc4739
|
|
R-3m |
166 |
rhombohedral |
{18,3,12} |
8 |
(3,5) |
|
D
|
False
|
|
sqc4768
|
|
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
<30.1:96:73 3 5 7 16 65 11 13 15 89 19 21 23 40 81 27 29 31 48 41 35 37 39 43 45 47 57 51 53 55 72 59 61 63 80 67 69 71 75 77 79 83 85 87 96 91 93 95,2 75 12 6 8 10 67 14 16 18 91 36 22 24 26 83 44 30 32 34 43 38 40 42 46 48 50 59 68 54 56 58 76 62 64 66 70 72 74 78 80 82 92 86 88 90 94 96,17 4 5 78 79 88 25 12 13 70 71 96 20 21 94 95 64 28 29 86 87 56 49 36 37 46 47 80 57 44 45 72 52 53 62 63 60 61 81 68 69 89 76 77 84 85 92 93:3 5 3 3 5 3 5 3 3 5 5 5,18 3 12 3 3 3 3 3> {(2, 61): 'tau1^-1', (0, 56): 'tau1^-1', (2, 63): 't3^-1', (2, 55): 't2^-1', (2, 62): 'tau1^-1', (2, 45): 'tau1^-1', (2, 46): 'tau1^-1', (2, 47): 't2', (0, 32): 'tau1', (2, 39): 't3', (2, 29): 'tau3', (0, 24): 'tau3', (2, 21): 'tau2^-1', (0, 16): 'tau2^-1', (1, 82): 'tau3^-1', (0, 8): 'tau3', (2, 13): 'tau3', (2, 14): 'tau3', (2, 15): 't1^-1', (2, 5): 'tau2^-1', (0, 0): 'tau2^-1', (2, 7): 't1^-1', (1, 58): 'tau1^-1', (2, 30): 'tau3', (1, 42): 'tau1^-1', (2, 6): 'tau2^-1', (1, 18): 'tau2^-1', (1, 10): 'tau3', (1, 2): 'tau2^-1', (2, 22): 'tau2^-1'}