U-tiling: UQC275
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
|
|
sqc327
|
etb
|
R-3m |
166 |
rhombohedral |
{3} |
6 |
(1,2) |
|
G
|
False
|
|
sqc3055
|
etf
|
R-3c |
167 |
rhombohedral |
{3} |
12 |
(1,3) |
|
D
|
False
|
|
sqc328
|
pcu-h
|
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
<10.2:72:55 4 5 12 49 10 11 67 16 17 30 61 22 23 36 31 28 29 34 35 43 40 41 54 46 47 60 52 53 58 59 64 65 72 70 71,2 15 64 6 8 21 70 12 14 46 18 20 40 24 26 39 58 30 32 45 52 36 38 42 44 48 50 63 54 56 69 60 62 66 68 72,13 3 5 66 19 9 11 72 15 17 48 21 23 42 37 27 29 60 43 33 35 54 39 41 45 47 61 51 53 67 57 59 63 65 69 71:18 18,3 3 3 3 3 3 3 3 3 3 3 3> {(0, 48): 'tau3^-1', (2, 59): 't3^-1', (2, 53): 't2^-1', (0, 60): 'tau3^-1', (2, 47): 't3^-1', (1, 57): 't3^-1', (1, 45): 't3^-1', (0, 30): 'tau1^-1', (0, 42): 'tau1^-1', (1, 69): 't1', (2, 11): 't1^-1', (0, 54): 'tau2', (2, 5): 't1^-1', (0, 12): 'tau2^-1', (1, 51): 't2^-1', (1, 39): 't2^-1', (2, 41): 't2^-1', (1, 63): 't1', }