Bar Billiards and Poncelet's Porism

  • Witold Mozgawa

    Uniwersytet Marii Curie-Skłodowskiej, Lublin, Poland

Abstract

We prove that for a given oval C there exist ovals Cin and Cout, inside and outside of C, such that the pairs (C,Cin) and (Cout,C) satisfy the Poncelet's porism for almost any number of reflections in their bar billiards.

Cite this article

Witold Mozgawa, Bar Billiards and Poncelet's Porism. Rend. Sem. Mat. Univ. Padova 120 (2008), pp. 157–166

DOI 10.4171/RSMUP/120-10