AW: numbers of circle inscribing in another circle

[Pfoertner, Hugo]

 -Ursprüngliche Nachricht-----
Von: Mohammed BOUAYOUN [mailto:Mohammed.BOUAYOUN at sanef.com]
Gesendet am: 18 February, 2004 15:20
An: seqfan at ext.jussieu.fr; njas at research.att.com
Betreff: numbers of circle inscribing in another circle

That circle on radius 1
how much circle of radius 1/n can be inscribing in the first circle (radius
1) ?
 
if radius=1 ===>  nb = 1
radius=1/2  ===>  nb=2
radius=1/3 ===> nb 5 or 7 ?
 
radius =1/n ===> nb = ?
 
Thanks
 
M.Bouayoun
 
 
See  
http://www.research.att.com/projects/OEIS?Anum=A084618
<http://www.research.att.com/projects/OEIS?Anum=A084618>  and the E. Specht
link:
E. Specht,  The best known packings of equal circles in the unit circle
<http://hydra.nat.uni-magdeburg.de/packing/cci/cci.html> 
http://hydra.nat.uni-magdeburg.de/packing/cci/cci.html
<http://hydra.nat.uni-magdeburg.de/packing/cci/cci.html> 
It should be easy to convert E.Spechts table into an answer to your question
Just find the largest element in the radius column <=1/n which gives a
sequence
1,2,7,11,19,27,38,50,64,80,98,118,... rear part based on numerical results,
which
are the best available.

Hugo