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n paiwise non-similar triangles

Source: Baltic Way 2009

November 27, 2010
geometrysimilar trianglesgeometry proposed

Problem Statement

For which n≥2n\ge 2 is it possible to find nn pairwise non-similar triangles A1,A2,…,AnA_1, A_2,\ldots , A_n such that each of them can be divided into nn pairwise non-similar triangles, each of them similar to one of A1,A2,…,AnA_1,A_2 ,\ldots ,A_n?
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