2014/07/15 by Finch, Steven R.
#30C30 #31A15 #33B20 #33C05 #33E05 35J08 (Secondary) #51M04 (Primary) 30C20 #FOS: Mathematics #History and Overview (math.HO) #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.1407.4105
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.