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

David Seal <ds...@armltd.co.uk>

In article <1992Nov27.161606.1...@odin.diku.dk> torb...@diku.dk (Torben

AEgidius Mogensen) writes:
>sil...@math25.mathematik.uni-bielefeld.de (Torsten Sillke) writes:
>>Can you find the only possibility to take 8 points in the 3*3*3 grid
>>with the same property?

>How about

>. o .       o . .   . . o
>. . o       . . .   o . .
>o . .       . . o   . o .

No, there's a diagonal plane which passes through no less than 6 of these
points!

. O .   O . .   . . o
. . O   . . .   O . .
o . .   . . O   . O .

The six points marked with upper-case "O"s are coplanar.

David Seal
ds...@armltd.co.uk

All opinions are mine only...