Large disks touching three sides of a quadrilateral
arXiv:2405.18301 · doi:10.54330/afm.154981
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.
10 pages, 5 figures. Final version to appear in Ann. Fenn. Math