A car moves around a regular n-gon
Source:
September 13, 2010
geometryperimetercombinatorics unsolvedcombinatorics
Problem Statement
From each of the vertices of a regular -gon a car starts to move with constant speed along the perimeter of the -gon in the same direction. Prove that if all the cars end up at a vertex at the same time, then they never again meet at any other vertex of the -gon. Can they meet again at