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Omni-MATH / ( Gregory Galparin ) Let P be a convex polygon with n sides, n≥3 . Any set of n−3 diagonals of P that do not intersect in the interior of the polygon determine a triangulation of P…

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problem

( Gregory Galparin ) Let

\mathcal{P}

be a convex polygon with

n

sides,

n\ge3

. Any set of

n - 3

diagonals of

\mathcal{P}

that do not intersect in the interior of the polygon determine a triangulation of

\mathcal{P}

into

n - 2

triangles. If

\mathcal{P}

is regular and there is a triangulation of

\mathcal{P}

consisting of only isosceles triangles, find all the possible values of

n

Plain-text mathematical notation (without MathML)

( Gregory Galparin ) Let P be a convex polygon with n sides, n≥3 . Any set of n−3 diagonals of P that do not intersect in the interior of the polygon determine a triangulation of P into n−2 triangles. If P is regular and there is a triangulation of P consisting of only isosceles triangles, find all the possible values of n .

Original LaTeX notation

( Gregory Galparin ) Let $\mathcal{P}$ be a convex polygon with $n$ sides, $n\ge3$ . Any set of $n - 3$ diagonals of $\mathcal{P}$ that do not intersect in the interior of the polygon determine a triangulation of $\mathcal{P}$ into $n - 2$ triangles. If $\mathcal{P}$ is regular and there is a triangulation of $\mathcal{P}$ consisting of only isosceles triangles, find all the possible values of $n$ .

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task_id: e0f3ff31-f779-5800-8352-f576dff4ee67
task_key: test--e0f3ff31-f779-5800-8352-f576dff4ee67
task_revision_id: 4
config / split: / test

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