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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