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no 4 on a plane (3*3*3 puzzle)

der Mouse <mo...@thunder.mcrcim.mcgill.edu>

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