Polygons in billiard orbits
Number Theory
2013-10-08 v1
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.
Keywords
Cite
@article{arxiv.1106.2030,
title = {Polygons in billiard orbits},
author = {Henk Don},
journal= {arXiv preprint arXiv:1106.2030},
year = {2013}
}
Comments
14 pages