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2016 Polygonal bicycle paths and the Darboux transformation
Ian Alevy, Emmanuel Tsukerman
Involve 9(1): 57-66 (2016). DOI: 10.2140/involve.2016.9.57

Abstract

A bicycle (n,k)-gon is an equilateral n-gon whose k diagonals are of equal length. In this paper we introduce periodic bicycle (n,k)-paths, which are a natural variation in which the polygon is replaced with a periodic polygonal path, and study their rigidity and integrals of motion.

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Ian Alevy. Emmanuel Tsukerman. "Polygonal bicycle paths and the Darboux transformation." Involve 9 (1) 57 - 66, 2016. https://doi.org/10.2140/involve.2016.9.57

Information

Received: 7 September 2013; Revised: 1 September 2014; Accepted: 8 December 2014; Published: 2016
First available in Project Euclid: 22 November 2017

zbMATH: 1360.37145
MathSciNet: MR3438445
Digital Object Identifier: 10.2140/involve.2016.9.57

Subjects:
Primary: 37J35 , 52C25

Keywords: bicycle polygons , floating bodies in equilibrium , tire track problem

Rights: Copyright © 2016 Mathematical Sciences Publishers

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