A Geometric proof for the Polygonal Isoperimetric Inequality
Metric Geometry
2023-09-13 v1
Abstract
Gradients of the perimeter and area of a polygon have straightforward geometric interpretations. The use of optimality conditions for constrained problems and basic ideas in triangle geometry show that polygons with prescribed area minimizing the perimeter must be regular.
Cite
@article{arxiv.2309.05802,
title = {A Geometric proof for the Polygonal Isoperimetric Inequality},
author = {Beniamin Bogosel},
journal= {arXiv preprint arXiv:2309.05802},
year = {2023}
}