Periodic trajectories in the regular pentagon, II
Dynamical Systems
2012-01-04 v1
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.
Keywords
Cite
@article{arxiv.1201.0026,
title = {Periodic trajectories in the regular pentagon, II},
author = {Dmitry Fuchs and Serge Tabachnikov},
journal= {arXiv preprint arXiv:1201.0026},
year = {2012}
}