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arXiv · 1201.0026

Periodic trajectories in the regular pentagon, II

Dmitry Fuchs·Serge Tabachnikov
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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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Dmitry Fuchs, Serge Tabachnikov. 2011-12-29. Periodic trajectories in the regular pentagon, II. https://arxiv.org/abs/1201.0026

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