Polygonal Bicycle Paths and the Darboux Transformation

preprint2013arXivOpen access

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.

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