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Inscribed regular n-gon

Source: Nordic Mathematical Contest 2017 Problem 4

April 4, 2017
combinatoricsgeometry

Problem Statement

Find all integers nn and mm, n>m>2n > m > 2, and such that a regular nn-sided polygon can be inscribed in a regular mm-sided polygon so that all the vertices of the nn-gon lie on the sides of the mm-gon.