English

Polygonal Bicycle Paths and the Darboux Transformation

Dynamical Systems 2013-08-28 v1 Metric Geometry

Abstract

A Bicycle (n,k)(n,k)-gon is an equilateral nn-gon whose kk diagonals are of equal length. In this paper we consider periodic bicycle (n,k)(n,k)-paths, which are a natural variation in which the polygon is replaced with a periodic polygonal path.

Keywords

Cite

@article{arxiv.1308.5757,
  title  = {Polygonal Bicycle Paths and the Darboux Transformation},
  author = {I. Alevy and E. Tsukerman},
  journal= {arXiv preprint arXiv:1308.5757},
  year   = {2013}
}
R2 v1 2026-06-22T01:15:27.043Z