Colour the points
Source: China TST 2003
June 29, 2006
inequalitiesreal analysiscombinatorics unsolvedcombinatorics
Problem Statement
Let be the set of points inside and on the boarder of a regular haxagon with side length 1. Find the least constant , such that there exists one way to colour all the points in with three colous so that the distance between any two points with same colour is less than .