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arXiv · 1106.2030

Polygons in billiard orbits

Henk Don
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Abstract

We study the geometry of billiard orbits on rectangular billiards. A truncated billiard orbit induces a partition of the rectangle into polygons. We prove that thirteen is a sharp upper bound for the number of different areas of these polygons.

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Henk Don. 2011-06-10. Polygons in billiard orbits. https://arxiv.org/abs/1106.2030

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