U-tiling: UQC274
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc17 |
*23(18) |
(1,1,1) |
{3} |
{18.18.18} |
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
|
|
sqc328
|
pcu-h
|
R-3m |
166 |
rhombohedral |
{3} |
6 |
(1,2) |
|
G
|
False
|
|
sqc3054
|
wiw
|
R-3c |
167 |
rhombohedral |
{3} |
12 |
(1,3) |
|
D
|
False
|
|
sqc327
|
etb
|
R-3m |
166 |
rhombohedral |
{3} |
6 |
(1,2) |
Topological data
| Vertex degrees | {3,3} |
| 2D vertex symbol | {18.18.18}{18.18.18} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.1:72:13 4 5 66 19 10 11 72 16 17 48 22 23 42 37 28 29 60 43 34 35 54 40 41 46 47 61 52 53 67 58 59 64 65 70 71,2 57 10 6 8 51 12 14 69 28 18 20 63 34 24 26 33 30 32 36 38 45 52 42 44 58 48 50 54 56 60 62 70 66 68 72,55 3 5 12 49 9 11 67 15 17 30 61 21 23 36 31 27 29 33 35 43 39 41 54 45 47 60 51 53 57 59 63 65 72 69 71:18 18,3 3 3 3 3 3 3 3 3 3 3 3> {(2, 54): 'tau2', (1, 56): 'tau2', (1, 44): 'tau1^-1', (0, 41): 't2^-1', (1, 62): 'tau3^-1', (0, 53): 't2^-1', (2, 24): 'tau1', (0, 11): 't1^-1', (1, 68): 'tau2', (2, 12): 'tau2^-1', (1, 50): 'tau3^-1', (2, 48): 'tau3^-1', (2, 42): 'tau1^-1', (0, 47): 't3^-1', (1, 32): 'tau1^-1', (0, 59): 't3^-1', (0, 5): 't1^-1', (2, 60): 'tau3^-1', }