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Good sets of points on the plane

Source: Kazakhstan NMO 2005 (Final round) P3

December 16, 2014
geometry proposedgeometry

Problem Statement

Call a set of points in the plane goodgood if any three points of the set are the vertices of an isosceles triangle or if they are collinear. Determine all a)a) 6-element goodgood sets b)b) 7-element goodgood sets.
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