English

Inscribing smooth knots with regular polygons

Geometric Topology 2007-05-23 v1

Abstract

A regular nn-gon inscribing a knot is a sequence of nn 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 nn-gon for any nn.

Keywords

Cite

@article{arxiv.math/0610867,
  title  = {Inscribing smooth knots with regular polygons},
  author = {Ying-Qing Wu},
  journal= {arXiv preprint arXiv:math/0610867},
  year   = {2007}
}