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