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Moscow Mathematical Journal, 2013, Volume 13, Number 1, Pages 19–32
DOI: https://doi.org/10.17323/1609-4514-2013-13-1-19-32 (Mi mmj487) 		 
Periodic trajectories in the regular pentagon, II

Dmitry Fuchsa, Serge Tabachnikovb

a Department of Mathematics, University of California, Davis, CA 95616, USA
b Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
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DOI: https://doi.org/10.17323/1609-4514-2013-13-1-19-32
Abstract: This paper is a continuation of our study of periodic billiard trajectories in the regular pentagon and closed geodesics on the double pentagon. The trajectories are encoded by infinite words in the alphabet consisting of five symbols. The main result of the paper is an algorithmic description of the symbolic periodic trajectories, conjectured in our recent paper.
Key words and phrases: translation surface, Veech surface, double pentagon, polygonal billiard, closed geodesic.
Received: December 30, 2011; in revised form September 23, 2012
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Document Type: Article
MSC: Primary 37D40; Secondary 37B10, 37E15, 37E35
Language: English
Citation: Dmitry Fuchs, Serge Tabachnikov, “Periodic trajectories in the regular pentagon, II”, Mosc. Math. J., 13:1 (2013), 19–32
Citation in format AMSBIB
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\paper Periodic trajectories in the regular pentagon, II
\jour Mosc. Math.~J.
\yr 2013
\vol 13
\issue 1
\pages 19--32
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