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math.DS2018
Outer billiards outside regular decagon: periodicity of almost all orbits and existence of an aperiodic point
Filipp Rukhovich
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.…
math.DS2018★ 2 cited
Outer billiards outside regular dodecagon: computer proof of periodicity of almost all orbits and existence of an aperiodic point
Filipp Rukhovich
An existence of an aperiodic point for outer billiard outside regular dodecagon is proved. Additionally, almost all orbits of such an outer billiard are proved to be periodic, and…