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Inscribing smooth knots with regular polygons

Ying-Qing Wu
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Abstract

A regular $n$-gon inscribing a knot is a sequence of $n$ points on a knot, such that the distances between adjacent points are all the same. It is shown that any smooth knot is inscribed by a regular $n$-gon for any $n$.

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Ying-Qing Wu. 2006-10-27. Inscribing smooth knots with regular polygons. https://arxiv.org/abs/math/0610867

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