Least Capacity Point of Triangles
History and Overview
2014-07-16 v1 Metric Geometry
Abstract
Let D be a compact convex domain in the plane. P\'olya & Szeg\"o and, independently, Levi & Pan defined the point p in D that is "best insulated from the boundary C of D". We compute p in the case when C is an isosceles right triangle, revisiting exact results from the study of complex conformal mappings.
Cite
@article{arxiv.1407.4105,
title = {Least Capacity Point of Triangles},
author = {Steven R. Finch},
journal= {arXiv preprint arXiv:1407.4105},
year = {2014}
}
Comments
13 pages, 3 figures