[seqfan] Re: Rings of regular polygons

Neil Sloane njasloane at gmail.com
Sun Mar 26 22:21:20 CEST 2017


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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