[seqfan] Re: Rings of regular polygons

Felix Fröhlich felix.froe at gmail.com
Sun Mar 26 22:46:25 CEST 2017


I don't know what happened to the attachment, it seems my anti virus
program messed it up.

Here is a link to download the file

https://sites.google.com/site/regularpolygonrings/regular-polygon-rings

Regads
Felix

2017-03-26 22:21 GMT+02:00 Neil Sloane <njasloane at gmail.com>:

> Felix,
> "let a(n) count the rings of regular n-gons such that all centers
> of the n-gons lie on a circle"  This number is infinite!
> What did you really mean?
>
> I could not open those links you mentioned because they wanted to install
> some software on my machine, which I would not let them do
> Best regards
> Neil
>
> Neil J. A. Sloane, President, OEIS Foundation.
> 11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
> Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
> Phone: 732 828 6098; home page: http://NeilSloane.com
> Email: njasloane at gmail.com
>
>
>
> On Sun, Mar 26, 2017 at 4:01 PM, Felix Fröhlich <felix.froe at gmail.com>
> wrote:
> > Dear Sequence fans,
> >
> > let a(n) count the number of rings of regular n-gons such that all
> centers
> > of the n-gons lie on the same circle. For example, the ring that can be
> > formed by regular heptagons is probably well known. Other regular
> polygons
> > also appear to admit the construction of such rings. I created some
> > illustrations in a vector graphics program and those illustrations seem
> to
> > suggest that the sequence (with offset 5) starts as follows:
> >
> > 1, 1, 1, 2, 2, 2, 1, 4, 0, 2
> >
> > A PDF containing the illustrations is attached.
> >
> > How could those values be proven correct, and would this be worth of
> > inclusion in the OEIS?
> >
> > Best regards
> > Felix Fröhlich
> >
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