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Omni-MATH / Let m,n>2 be integers. One of the angles of a regular n-gon is dissected into m angles of equal size by (m−1) rays. If each of these rays intersects the polygon again at one of its…

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problem

Let m,n>2m, n > 2 be integers. One of the angles of a regular nn-gon is dissected into mm angles of equal size by (m−1)(m-1) rays. If each of these rays intersects the polygon again at one of its vertices, we say nn is mm-cut. Compute the smallest positive integer nn that is both 3-cut and 4-cut.
Plain-text mathematical notation (without MathML)
Let m,n>2 be integers. One of the angles of a regular n-gon is dissected into m angles of equal size by (m−1) rays. If each of these rays intersects the polygon again at one of its vertices, we say n is m-cut. Compute the smallest positive integer n that is both 3-cut and 4-cut.
Original LaTeX notation
Let $m, n > 2$ be integers. One of the angles of a regular $n$-gon is dissected into $m$ angles of equal size by $(m-1)$ rays. If each of these rays intersects the polygon again at one of its vertices, we say $n$ is $m$-cut. Compute the smallest positive integer $n$ that is both 3-cut and 4-cut.

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Source and history

task_id
1bec799e-8f1a-54f4-957a-0924fb718cc6
task_key
test--1bec799e-8f1a-54f4-957a-0924fb718cc6
task_revision_id
1
config / split
/ test

Official source

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