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Polygonal bicycle
paths and the Darboux transformation
Ian Alevy and Emmanuel Tsukerman
Vol. 9 (2016), No. 1, 57–66
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Abstract |
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A bicycle -gon is an equilateral -gon whose diagonals are of equal length. In this paper we introduce periodic bicycle -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. |
Keywords
bicycle polygons, tire track problem, floating bodies in
equilibrium
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Mathematical Subject Classification 2010
Primary: 37J35, 52C25
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Milestones
Received: 7 September 2013
Revised: 1 September 2014
Accepted: 8 December 2014
Published: 17 December 2015
Communicated by Kenneth S. Berenhaut
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Authors |
| Ian Alevy | |
| Division of Applied
Mathematics Brown University Providence, RI 02912 United States |
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| Emmanuel Tsukerman | |
| Department of Mathematics University of California, Berkeley Berkeley, CA 94720 United States |
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