Colored triangles with disjoint interiors
Source: Miklós Schweitzer 2014, P3
December 23, 2014
combinatorial geometrycombinatorics proposedcombinatorics
Problem Statement
We have points on the plane, no three of them are collinear. The points are colored with two colors. Prove that from the points we can form empty triangles (they have no colored points in their interiors) with pairwise disjoint interiors, such that all points occurring as vertices of the triangles have the same color.