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China Mathematical Olympiad 1986 problem6

Source: China Mathematical Olympiad 1986 problem6

January 18, 2014
combinatorics unsolvedcombinatorics

Problem Statement

Suppose that each point on the plane is colored either white or black. Show that there exists an equilateral triangle with the side length equal to 11 or 3\sqrt{3} whose three vertices are in the same color.