no 4 on a plane (3*3*3 puzzle) - rec.puzzles

Message from discussion no 4 on a plane (3*3*3 puzzle)
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From: mo...@thunder.mcrcim.mcgill.edu (der Mouse)
Newsgroups: rec.puzzles
Subject: Re: no 4 on a plane (3*3*3 puzzle)
Keywords: no-3-in-line, 3*3*3 puzzle
Message-ID: <1992Nov28.082847.14051@thunder.mcrcim.mcgill.edu>
Date: 28 Nov 92 08:28:47 GMT
References: <ByDs66.D4G@hermes.hrz.uni-bielefeld.de> <1992Nov27.161606.1900@odin.diku.dk>
Organization: McGill Research Centre for Intelligent Machines
Lines: 18

In article <1992Nov27.161606.1...@odin.diku.dk>, torb...@diku.dk (Torben AEgidius Mogensen) writes:
> sil...@math25.mathematik.uni-bielefeld.de (Torsten Sillke) writes:
>> On the 2*2*2 grid you can take 5 points, such that no 4 points lay
>> on a plane.  [...]  Can you find the only possibility to take 8
>> points in the 3*3*3 grid with the same property?

> How about

> . x .   x . .   . . o
> . . x   . . .   x . .
> o . .   . . x   . x .

Sorry.  The six (!) points I marked with x are all in the same plane.

					der Mouse

			    mo...@larry.mcrcim.mcgill.edu