Outer billiard outside regular polygons

Abstract

We consider outer billiard outside regular convex polygons. We deal with the case of regular polygons with $\{3,4,5,6,10\}$ sides, and we describe the symbolic dynamics of the map and compute the complexity of the language.

53 pages, 12 figures

References in corpus (1)

• Unbounded Orbits for Outer Billiards

Cited by in corpus (3)

• Dissipative outer billiards: a case study
• Symbolic dynamics of a piecewise rotation: case of the non symmetric bijective maps
• Symbolic dynamics for the piecewise rotations: Case of the bijective symmetric maps