Billiard Lawn Mowers
Dynamical Systems
2026-05-22 v1 Metric Geometry
Abstract
We study the Lawn Mowing Problem restricted to periodic billiard paths in the unit square. Given the combinatorial data of a trajectory, we determine the optimal covering radius, and identify the shortest path that covers the square for any fixed blade radius.
Keywords
Cite
@article{arxiv.2605.21896,
title = {Billiard Lawn Mowers},
author = {Natnaree Sriprasert and Sangsan Warakkagun},
journal= {arXiv preprint arXiv:2605.21896},
year = {2026}
}
Comments
11 pages, 3 figures