[seqfan] Re: Rings of regular polygons
Felix FrÃ¶hlich
felix.froe at gmail.com
Mon Mar 27 20:48:19 CEST 2017
Okay, so I guess that in the case of the 13-gons maybe small alignment
errors increase over the length of the ring so that it doesn't fit together
in the end.
Thanks for all the responses.
Regards
Felix
2017-03-27 7:52 GMT+02:00 Luca Petrone via SeqFan <seqfan at list.seqfan.eu>:
>
> The number of configurations for rings of n-gons are the number of integer
> solution in k (number of rings) of the equation (a - 1) (1 + 2/n) + 4/n +
> 2/k
> == a, with a (number of sides of the n-gon inside the ring) varying from 1
> to
> n/2.
>
> Regards,
>
> Luca Petrone
>
> >----Messaggio originale----
> >Da: "Andrew Weimholt" <andrew.weimholt at gmail.com>
> >Data: 26/03/2017 23.59
> >A: "Sequence Fanatics Discussion list"<seqfan at list.seqfan.eu>
> >Ogg: [seqfan] Re: Rings of regular polygons
> >
> >On Sun, Mar 26, 2017 at 2:15 PM, Peter Munn <techsubs at pearceneptune.co.uk
> >
> >wrote:
> >
> >>
> >> If you defined it as including all those where neighbouring polygons
> >> shared an edge, that is including 6 triangles around a point etc., I
> think
> >> the sequence might be A023645, the number of divisors of n less than
> n/2.
> >> So, I think your a(13) term should be 1.
> >>
> >> Peter
> >>
> >>
> >I agree. 26 13-gons DO form a ring.
> >Something is wrong with the 13-gons in the his PDF (uneven edge lengths
> >perhaps).
> >
> >
> >Andrew
> >
> >--
> >Seqfan Mailing list - http://list.seqfan.eu/
> >
>
>
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
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