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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: High school
Topic ID: 159
Message ID: 0
#0, A geometry problem
Posted by Sprites on Apr-29-02 at 02:43 PM
I am having trouble figuring out how to disprove that the following matrix has a euclidian representation.


|x| |x| | |x| | |x| | |
|x| | |x| | |x| | |x| |
|x| | | |x| | |x| | |x|
| |x|x| | | | |x|x| | |
| |x| |x| |x| | | | |x|
| |x| | |x| |x| | |x| |
| | |x|x|x| | | | | | |
| | | | | |x|x|x| | | |
| | | | | | | | |x|x|x|

The rule is as following:
The matrix rows represent points, the matrix columns represent lines, the x'es show where a point lies on a line. No four points are collinear.

I hope this problem finds you entertained.
Thank you for your time.