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Function

Source: RMO 2003, Grade 9, Problem 4

October 23, 2008
functioncombinatorial geometry

Problem Statement

Let P P be a plane. Prove that there exists no function f:P→P f: P\rightarrow P such that for every convex quadrilateral ABCD ABCD, the points f(A),f(B),f(C),f(D) f(A),f(B),f(C),f(D) are the vertices of a concave quadrilateral. Dinu Şerbănescu
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