The area of reduced spherical polygons
Metric Geometry
2020-09-29 v1 Combinatorics
Abstract
We confirm two conjectures of Lassak on the area of reduced spherical polygons. The area of every reduced spherical non-regular -gon is less than that of the regular spherical -gon of the same thickness. Moreover, the area of every reduced spherical polygon is less than that of the regular spherical odd-gons of the same thickness and whose number of vertices tends to infinity.
Cite
@article{arxiv.2009.13268,
title = {The area of reduced spherical polygons},
author = {Cen Liu and Yanxun Chang and Zhanjun Su},
journal= {arXiv preprint arXiv:2009.13268},
year = {2020}
}