Least Capacity Point of Triangles

Abstract

Let D be a compact convex domain in the plane. Pólya & Szegö 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.

13 pages, 3 figures

References in corpus (2)

• In Limbo: Three Triangle Centers
• Minimal capacity points and the Lowest eigenfunctions

Cited by in corpus (1)

• Appell F1 and Conformal Mapping