Difference between revisions of "1973 IMO Problems/Problem 2"

(Created page with "Determine whether or not there exists a finite set M of points in space not lying in the same plane such that, for any two points A and B of M; one can select two other points C ...")
 
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select two other points C and D of M so that lines AB and CD are parallel
 
select two other points C and D of M so that lines AB and CD are parallel
 
and not coincident.
 
and not coincident.
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{{solution}}
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[[Category:Olympiad Geometry Problems]]
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[[Category:3D Geometry Problems]]

Revision as of 23:37, 18 July 2016

Determine whether or not there exists a finite set M of points in space not lying in the same plane such that, for any two points A and B of M; one can select two other points C and D of M so that lines AB and CD are parallel and not coincident. This problem needs a solution. If you have a solution for it, please help us out by adding it.