polygonal line of the length 1001 is given in a unit square
Source: Israel Joseph Gillis Mathematical Olympiad 1998 p7
February 16, 2020
geometrypolygonparallelcombinatorial geometrycombinatorics
Problem Statement
A polygonal line of the length is given in a unit square. Prove that there exists a line parallel to one of the sides of the square that meets the polygonal line in at least points.