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Problem 6 of Finals

Source: VII International Festival of Young Mathematicians Sozopol 2016, Theme for 10-12 grade

September 19, 2019
geometryPolygons

Problem Statement

On the sides of a convex, non-regular mm-gon are built externally regular heptagons. It is known that their centers are vertices of a regular mm-gon. What’s the least possible value of mm?