Polygonal Bicycle Paths and the Darboux Transformation

Abstract

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

References in corpus (2)

• A new doubly discrete analogue of smoke ring flow and the real time simulation of fluid flow
• On the discrete bicycle transformation