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Omni-MATH / Find all integers n and 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 th…

Problem

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problem

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.
Plain-text mathematical notation (without MathML)
Find all integers n and 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-gon.
Original LaTeX notation
Find all integers $n$ and $m$, $n > m > 2$, 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 $m$-gon.

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Official source

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