[seqfan] Re: partitions of a circle
Neil Sloane
njasloane at gmail.com
Thu May 10 04:49:05 CEST 2012
I agree! So a(3)=3 not 4. Apologies.
1,1,3,15,... ?
Neil
On Wed, May 9, 2012 at 10:14 PM, Andrew Weimholt
<andrew.weimholt at gmail.com>wrote:
> On Wed, May 9, 2012 at 4:38 PM, Neil Sloane <njasloane at gmail.com> wrote:
> > PS No progress by anyone on the question (number
> > of ways to partition a circle into n parts), so I will
> > mention that the V-Z paper is available from Tudor Zamfirescu's home
> page,
> > http://tzamfirescu.tricube.de/, see item 62.
> > The fifteen ways of partitioning a circle into 4 parts
> > are shown on the second page.
> > What is the next term?
> >
> >>
> >> The 4 ways to cut a circle into 3 pieces are:
> >> 1. draw 2 parallel chords in a circle
> >> 2. draw a T in a circle
> >> 3. draw a Y in a circle
> >> 4. draw a V in a circle
> >>
> >> Neil
> >> --
>
> I don't know what the rules are as I am a little weak on my French, but
> from
> looking at the 15 diagrams in the paper, it appears to me that drawing a
> 'T'
> and drawing a 'Y' are not considered distinct. The second of the 15 circles
> in the paper has a T and one additional chord, but there is no circle with
> a 'Y' and one additional chord.
>
> Andrew
>
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--
Dear Friends, I will soon be retiring from AT&T. New coordinates:
Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA
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Email: njasloane at gmail.com
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