olymmath

IMO 1973 Problem 2

  • Day 1

Establish if there exists a finite set MM of points in space, not all situated in the same plane, so that for any straight line dd which contains at least two points from M there exists another straight line d′d' , parallel with d,d, but distinct from dd , which also contains at least two points from MM .

Dataset text AI-MO AoPS. Quoted with source.

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