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INSCRIBING SMOOTH KNOTS WITH REGULAR POLYGONS

Published online by Cambridge University Press:  02 February 2004

YING-QING WU
YING-QING WU
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, IA 52242, [email protected]
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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 $n$.The author was partially supported by NSF grant #DMS 9802558.

Keywords

57M25 (primary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 2 , March 2004 , pp. 176 - 180
Copyright
© The London Mathematical Society 2004

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