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arxiv: 1308.5757 · v1 · pith:SDNXBDN6new · submitted 2013-08-27 · 🧮 math.DS · math.MG

Polygonal Bicycle Paths and the Darboux Transformation

classification 🧮 math.DS math.MG
keywords bicyclepathsperiodicpolygonalconsiderdarbouxdiagonalsequal
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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.

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