Periodic trajectories in the regular pentagon, II

Details Periodic trajectories in the regular pentagon, II Periodic trajectories in the regular pentagon, II

2011-12-29

arxiv.org/abs/1201.0026v1

Mathematics

Dynamical Systems

Scientific paper

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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