paper

Billiard complexity in rational polyhedra

arXiv:1203.4350 · doi:10.1070/RD2003v008n01ABEH000228

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.

9 pages, 4 figures

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