Message from discussion no 4 on a plane (3*3*3 puzzle)

Path: sparky!uunet!mcsun!uknet!acorn!armltd!dseal
From: ds...@armltd.co.uk (David Seal)
Newsgroups: rec.puzzles
Subject: Re: no 4 on a plane (3*3*3 puzzle)
Message-ID: <10206@armltd.uucp>
Date: 30 Nov 92 15:31:11 GMT
References: <1992Nov27.161606.1900@odin.diku.dk>
Sender: ds...@armltd.uucp
Distribution: rec
Organization: A.R.M. Ltd, Swaffham Bulbeck, Cambs, UK
Lines: 26

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...