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Bundeswettbewerb Mathematik 1993 Problem 1.2

Source: Bundeswettbewerb Mathematik 1993 Round 1

October 9, 2022
geometrycombinatoricscombinatorial geometryEquilateralPlane

Problem Statement

Let MM be a finite subset of the plane such that for any two different points A,B∈MA,B\in M there is a point C∈MC\in M such that ABCABC is equilateral. What is the maximal number of points in M?M?
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