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any equilateral triangle can be divided into n>6 equilaterals

Source: Netherlands - Dutch NMO 1972 p1

January 27, 2023
geometrycombinatoricscombinatorial geometryEquilateralequilaterals

Problem Statement

Prove that for every n∈Nn \in N, n>6n > 6, every equilateral triangle can be divided into nn pieces, which are also equilateral triangles.