English

Outer billiard outside regular polygons

Dynamical Systems 2014-02-26 v2 Combinatorics

Abstract

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

Keywords

Cite

@article{arxiv.0912.5263,
  title  = {Outer billiard outside regular polygons},
  author = {Nicolas Bedaride and Julien Cassaigne},
  journal= {arXiv preprint arXiv:0912.5263},
  year   = {2014}
}

Comments

53 pages, 12 figures

R2 v1 2026-06-21T14:29:01.434Z