English

Dual billiards, Fagnano orbits and regular polygons

Dynamical Systems 2009-06-15 v3

Abstract

We study the notion of Fagnano orbits for dual polygonal billiards. We used them to characterize regular polygons and we study the iteration of the developing map.

Keywords

Cite

@article{arxiv.0704.0390,
  title  = {Dual billiards, Fagnano orbits and regular polygons},
  author = {Serge Troubetzkoy},
  journal= {arXiv preprint arXiv:0704.0390},
  year   = {2009}
}