Periodic trajectories in the regular pentagon, II

2011/12/29 by Dmitry Fuchs, Fuchs, Dmitry, Serge Tabachnikov +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1201.0026

arxiv created 2011/12/29 · arxiv updated 2012/01/04

Abstract

In our recent paper, we studied periodic billiard trajectories in the regular pentagon and closed geodesic on the double pentagon, a translation surface of genus two. In particular, we made a number of conjectures concerning symbolic periodic trajectories. In this paper, we prove two of these conjectures.

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