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extremal geometry

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June 26, 2007
geometrycombinatorial geometrycombinatoricspoint setTriangleIMO Shortlist

Problem Statement

We are given 3n3n points A1,A2,…,A3nA_1,A_2, \ldots , A_{3n} in the plane, no three of them collinear. Prove that one can construct nn disjoint triangles with vertices at the points Ai.A_i.
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