Large disks touching three sides of a quadrilateral
Complex Variables
2025-01-14 v2 Metric Geometry
Abstract
We show that every Jordan quadrilateral contains a disk so that contains points of three different sides of . As a consequence, together with some modulus estimates from Lehto and Virtanen, we offer a short proof of the main result obtained by Chrontsios-Garitsis and Hinkkanen in 2024 and it also improves the bounds on their result.
Cite
@article{arxiv.2405.18301,
title = {Large disks touching three sides of a quadrilateral},
author = {Alex Rodriguez},
journal= {arXiv preprint arXiv:2405.18301},
year = {2025}
}
Comments
10 pages, 5 figures. Final version to appear in Ann. Fenn. Math