Beautiful configurations
Source: 28th Iberoamerican Olympiad 2013, problem 6
September 25, 2013
rotationgeometrygeometric transformationcombinatorics proposedcombinatoricscombinatorial geometry
Problem Statement
A beautiful configuration of points is a set of colored points, such that if a triangle with vertices in the set has an angle of at least degrees, then exactly 2 of its vertices are colored with the same color. Determine the maximum possible value of .