10-direction clock

Maximilian Hasler maximilian.hasler at gmail.com
Tue Apr 22 20:35:37 CEST 2008


I think it is quite arbitrary to dissect the circle in 10 parts - why
not 4 or 6 or 8 or .... ?
Also, note that the sequence cannot be put into OEIS in this way since
there should be elements with leading 0.
Maximilian


On Tue, Apr 22, 2008 at 2:05 PM, Rainer Rosenthal <r.rosenthal at web.de> wrote:
> Eric Angelini wrote:
>  >                           . 11
>  >
>  >                0
>  >         9      *      1
>  >          *          *
>  >
>  >      8 *                * 2
>  >                .                  . 23 & 32
>  >
>  >      7 *                * 3
>  >
>  >          *          *
>  >         6      *     4
>  >                5
>  >
>  > Hello SeqFans,
>  > Imagine we assign a direction to each digit, as above.
>  > If we start at the center of the circle, the number "16"
>  > would bring us back to the center (we move one step in
>  > direction "1" and, from there, one step in direction "6").
>  > The number "11" would drive us outside the clock, as shown,
>  > -- and so would "23" or "32" (sharing the same spot).
>  >
>
>  Please have a look into the fantastic world of "Snakes on
>  a Plane". If I'm not mistaken, then Eric' idea is closely
>  related to the snakes with N=10:
>  http://www.enginemonitoring.net/azpc/zz/azpczzresults.htm
>
>  Watching the new snakes grow these days ( nurtured by Hugo
>  Pfoertner and Markus Sigg), I already wondered where the
>  Pi-snake 3145926... would fill the plane. For that we have to
>  change the rules of the according contest slightly, allowing
>  for the forward-backward steps (16 in Eric's explanation).
>  For the related archive see:
>  http://www.recmath.org/contest/Snakes/index.php
>
>  I hope this isn't considered unappropriate for SeqFan.
>
>  Best wishes,
>  Rainer
>





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