504 points on a unit disc, from any 5 points we can choose 2 with distance <=1
Source: JBMO Shortlist 2015 C2
April 24, 2019
combinatoricscombinatorial geometrypointsdistance
Problem Statement
points are given in a plane such that from any five points we can choose two points with distance less than unit. Prove that of the given points lie on a unit disc.