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0462 f(P) is a square 4th edition Round 6 p2

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May 7, 2021
number theoryfunctiongeometrysquare4th edition

Problem Statement

Let PP be the set of points in the plane, and let f:Pā†’Pf : P \to P be a function such that the image through ff of any triangle is a square (any polygon is considered to be formed by the reunion of the points on its sides). Prove that f(P)f(P) is a square.
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