U-tiling: UQC3416
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc522 |
*2626 |
(3,3,2) |
{3,6,6} |
{18.4.18}{18.4.4.18.4.4}{4.4.4.4... |
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
|
|
sqc3934
|
|
R-3m |
166 |
rhombohedral |
{3,6,6} |
10 |
(3,3) |
|
G
|
False
|
|
sqc3936
|
|
R-3 |
148 |
rhombohedral |
{3,6,6} |
10 |
(3,4) |
|
D
|
False
|
|
sqc3958
|
|
R-3m |
166 |
rhombohedral |
{3,6,6} |
10 |
(3,3) |
Topological data
| Vertex degrees | {3,6,6} |
| 2D vertex symbol | {18.4.18}{18.4.4.18.4.4}{4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.1:84:64 3 5 7 57 10 12 14 78 17 19 21 71 24 26 28 36 31 33 35 38 40 42 50 45 47 49 52 54 56 59 61 63 66 68 70 73 75 77 80 82 84,2 73 18 6 21 9 80 25 13 28 16 52 20 23 45 27 30 66 46 34 49 37 59 53 41 56 44 48 51 55 58 74 62 77 65 81 69 84 72 76 79 83,15 4 5 13 14 22 11 12 18 19 34 35 25 26 41 42 43 32 33 50 39 40 46 47 62 63 53 54 69 70 71 60 61 78 67 68 74 75 83 84 81 82:18 4 4 4 4 4 4,3 6 6 3 6 6 3 3 3 3> {(0, 56): 'tau3^-1', (1, 58): 't2^-1', (0, 63): 'tau2', (1, 51): 't3^-1', (0, 49): 'tau1^-1', (0, 21): 'tau3', (1, 72): 't1', (0, 14): 'tau2^-1', (1, 44): 't2^-1', (1, 79): 't1', (1, 65): 't3^-1', (0, 35): 'tau1^-1'}