IMO Shortlist 1973 problem 6
Dodao/la:
arhiva2. travnja 2012. Establish if there exists a finite set
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of points in space, not all situated in the same plane, so that for any straight line
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which contains at least two points from M there exists another straight line
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, parallel with
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but distinct from
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, which also contains at least two points from
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.
%V0
Establish if there exists a finite set $M$ of points in space, not all situated in the same plane, so that for any straight line $d$ which contains at least two points from M there exists another straight line $d'$, parallel with $d,$ but distinct from $d$, which also contains at least two points from $M$.
Izvor: Međunarodna matematička olimpijada, shortlist 1973