Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4594399 | Journal of Number Theory | 2012 | 13 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory