Polygons in billiard orbits

Details Polygons in billiard orbits Polygons in billiard orbits

2011-06-10

arxiv.org/abs/1106.2030v1

Mathematics

Number Theory

14 pages

Scientific paper

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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