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arXiv · 1812.01433

Outer billiards outside regular decagon: periodicity of almost all orbits and existence of an aperiodic point

Filipp Rukhovich
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Abstract

The existence of an aperiodic orbit for an outer billiard outside a regular octagon is proved. Additionally, almost all orbits of such an outer billiard are proved to be periodic. All possible periods are explicitly listed.

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Filipp Rukhovich. 2018-11-29. Outer billiards outside regular decagon: periodicity of almost all orbits and existence of an aperiodic point. https://arxiv.org/abs/1812.01433

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