English

Counting Regions in Billiard Trajectories

History and Overview 2023-09-06 v1

Abstract

This paper explores the number of parallelograms that appear in a billiard path that enters one corner of a rectangle and leaves a second corner of a rectangle as a function of the normalized dimensions of the rectangle.

Keywords

Cite

@article{arxiv.2309.01019,
  title  = {Counting Regions in Billiard Trajectories},
  author = {Dave Auckly and Betsy Giles},
  journal= {arXiv preprint arXiv:2309.01019},
  year   = {2023}
}
R2 v1 2026-06-28T12:11:14.440Z