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A proof of Culter’s theorem on the existence of periodic orbits in polygonal outer billiards

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Abstract

We prove a recent theorem by C. Culter every polygonal outer billiard in the affine plane has a periodic trajectory.

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Authors and Affiliations

  1. Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA

    Serge Tabachnikov

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  1. Serge Tabachnikov
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Correspondence to Serge Tabachnikov.

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Tabachnikov, S. A proof of Culter’s theorem on the existence of periodic orbits in polygonal outer billiards. Geom Dedicata 129, 83–87 (2007). https://doi.org/10.1007/s10711-007-9196-y

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  • DOI: https://doi.org/10.1007/s10711-007-9196-y

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