POV-Ray : Newsgroups : povray.binaries.images : 720 cube-walks 61KBbu : Re: 720 cube-walks 61KBbu Server Time
19 Nov 2024 20:37:33 EST (-0500)
  Re: 720 cube-walks 61KBbu  
From: David Fontaine
Date: 11 Nov 2001 22:59:41
Message: <3BEF49EB.5F03CE6@faricy.net>
Philippe Debar wrote:
> 
> ;-)
> 
> > Now find the number such that a path can't intersect itself. ;)
> 
> I count 486 of them. (Actually my pov-code counts them, I just repeat
> dumbly... Humans don't do mistake, they merely do whatever the computers
> tell them.)
> 
> I currently believe that there are 81 different paths, the others are just
> rotations/symetries of these.

486 divided by three rotations, two reflections, that seems to be right.

I think there's 72 if you are confined to the surface of the cube, no
going to the opposite corner.

-- 
David Fontaine  <dav### [at] faricynet>  ICQ 55354965
My raytracing gallery:  http://davidf.faricy.net/


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