Least Capacity Point of Triangles
  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. 
Steven R. Finch
math.HO math.MG