4

Part of 2017 Nordic

Problems(1)

Inscribed regular n-gon

Source: Nordic Mathematical Contest 2017 Problem 4

Find all integers

n

m

n > m > 2

, and such that a regular

n

-sided polygon can be inscribed in a regular

m

-sided polygon so that all the vertices of the

n

-gon lie on the sides of the

m

combinatoricsgeometry