Periodic trajectories in the regular pentagon, II
classification
🧮 math.DS
keywords
pentagonperiodictrajectoriesconjecturesregularbilliardclosedconcerning
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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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