U-tiling: UQC228
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc3 |
*23(18) |
(1,1,1) |
{18} |
{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3... |
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
|
True
|
|
sqc19
|
fcu
|
Fm-3m |
225 |
cubic |
{12} |
1 |
(1,1) |
|
G
|
True
|
|
sqc36
|
|
R-3m |
166 |
rhombohedral |
{14} |
1 |
(1,3) |
|
D
|
True
|
|
sqc15
|
ild
|
R-3m |
166 |
rhombohedral |
{12} |
1 |
(1,2) |
Topological data
| Vertex degrees | {18,18} |
| 2D vertex symbol | {3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.1:72:55 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 71,2 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 72,13 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 71:3 3 3 3 3 3 3 3 3 3 3 3,18 18> {(1, 56): 'tau2', (0, 24): 'tau1', (1, 50): 'tau3^-1', (0, 60): 'tau3^-1', (2, 59): 't3^-1', (2, 53): 't2^-1', (0, 48): 'tau3^-1', (1, 62): 'tau3^-1', (0, 54): 'tau2', (0, 42): 'tau1^-1', (2, 47): 't3^-1', (1, 32): 'tau1^-1', (2, 41): 't2^-1', (0, 12): 'tau2^-1', (2, 11): 't1^-1', (2, 5): 't1^-1', (1, 68): 'tau2', (1, 44): 'tau1^-1'}