U-tiling: UQC278
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc50 |
*2(12)(12) |
(2,2,1) |
{24,12} |
{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
|
|
sqc719
|
ast-d
|
Fm-3m |
225 |
cubic |
{18,6} |
2 |
(2,2) |
|
G
|
True
|
|
sqc1136
|
|
R-3m |
166 |
rhombohedral |
{20,8} |
2 |
(2,4) |
|
D
|
True
|
|
sqc719
|
ast-d
|
Fm-3m |
225 |
cubic |
{18,6} |
2 |
(2,2) |
Topological data
| Vertex degrees | {24,12} |
| 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
<13.1:72:55 3 5 66 49 9 11 72 67 15 17 48 61 21 23 42 31 27 29 60 33 35 54 43 39 41 45 47 51 53 57 59 63 65 69 71,2 57 6 65 8 51 12 71 14 69 18 47 20 63 24 41 26 33 30 59 32 36 53 38 45 42 44 48 50 54 56 60 62 66 68 72,13 4 5 12 19 10 11 16 17 30 22 23 36 37 28 29 43 34 35 40 41 54 46 47 60 61 52 53 67 58 59 64 65 72 70 71:3 3 3 3 3 3 3 3 3 3 3 3,24 12> {(0, 59): 't3^-1', (0, 60): 'tau3^-1', (0, 48): 'tau3^-1', (0, 54): 'tau2', (0, 53): 't2^-1', (0, 42): 'tau1^-1', (0, 41): 't2^-1', (0, 47): 't3^-1', (1, 32): 'tau1^-1', (0, 24): 'tau1', (0, 11): 't1^-1', (0, 12): 'tau2^-1', (1, 68): 'tau2', (1, 70): 't1', (1, 58): 't3^-1', (1, 62): 'tau3^-1', (1, 50): 'tau3^-1', (1, 52): 't2^-1', (1, 40): 't2^-1', (1, 44): 'tau1^-1', (1, 46): 't3^-1', (0, 5): 't1^-1', (1, 2): 'tau2^-1', (1, 4): 't1^-1'}