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

Message from discussion no 4 on a plane (3*3*3 puzzle)
Newsgroups: rec.puzzles
Path: sparky!uunet!usc!zaphod.mps.ohio-state.edu!darwin.sura.net!Sirius.dfn.de!news.uni-bielefeld.de!math25!sillke
From: sil...@math25.mathematik.uni-bielefeld.de (Torsten Sillke)
Subject: no 4 on a plane (3*3*3 puzzle)
Sender: n...@hermes.hrz.uni-bielefeld.de (News Administrator)
Message-ID: <ByDs66.D4G@hermes.hrz.uni-bielefeld.de>
Date: Fri, 27 Nov 1992 15:25:17 GMT
Nntp-Posting-Host: math25.mathematik.uni-bielefeld.de
Organization: Math MadHouse Bielefeld, Germany
Keywords: no-3-in-line, 3*3*3 puzzle
Lines: 12

On the 2*2*2 grid you can take 5 points, such that no 4 points lay on a
plane. The only possibility (up to symmetry) is:

        o .      . o
        o o      o .

Can you find the only possibility to take 8 points in the 3*3*3 grid
with the same property?

good luck, Torsten Sillke
(as nobody mastered any of the puzzles I posted so far, I hope this is
easy enough for you.)