English

Billiard complexity in rational polyhedra

Dynamical Systems 2015-06-04 v1

Abstract

We give a new proof for the directional billiard complexity in the cube, which was conjectured in \cite{Ra} and proven in \cite{Ar.Ma.Sh.Ta}. Our technique gives us a similar theorem for some rational polyhedra.

Keywords

Cite

@article{arxiv.1203.4350,
  title  = {Billiard complexity in rational polyhedra},
  author = {Nicolas Bedaride},
  journal= {arXiv preprint arXiv:1203.4350},
  year   = {2015}
}

Comments

9 pages, 4 figures

R2 v1 2026-06-21T20:36:50.385Z