1415 vertices
Source: 5th JBMO JBkMO 2001, problem 4
June 11, 2004
geometryperimetertrigonometrycombinatorics solvedcombinatorics
Problem Statement
Let be a convex polygon with 1415 vertices and perimeter 2001. Prove that we can find 3 vertices of which form a triangle of area smaller than 1.