colour plane and find triangle
Source: 239MO 2004, grade 8-9, problem 4, grade 10-11, problem 2
December 11, 2004
probabilitygeometrygeometric transformationreflectioncombinatorics unsolvedcombinatorics
Problem Statement
Do there exist such a triangle , that for any coloring of a plane in two colors one may found a triangle , equal to , such that all vertices of have the same color.
proposed by S. Berlov