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arxiv: math/0610867 · v1 · submitted 2006-10-27 · 🧮 math.GT

Inscribing smooth knots with regular polygons

classification 🧮 math.GT
keywords knotregularinscribingpointssmoothadjacentdistancesinscribed
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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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