Improved estimates on the number of unit perimeter triangles
Combinatorics
2025-10-06 v1 Computational Geometry
Metric Geometry
Abstract
We obtain new upper and lower bounds on the number of unit perimeter triangles spanned by points in the plane. We also establish improved bounds in the special case where the point set is a section of the integer grid.
Cite
@article{arxiv.2304.03920,
title = {Improved estimates on the number of unit perimeter triangles},
author = {Ritesh Goenka and Kenneth Moore and Ethan Patrick White},
journal= {arXiv preprint arXiv:2304.03920},
year = {2025}
}
Comments
8 pages, 1 figure