## The Triple Intersection Property, Three Dimensional Extremal Length, and Tiling of a Topological Cube

- SA’AR HERSONSKY, Oded Schramm
- 2012

1 Excerpt

- Published 2008

The theorem on squaring a rectangle (see Schramm [6] and CannonFloyd-Parry [1]) gives a combinatorial version of the Riemann mapping theorem. We elucidate by example (the dumbbell) some of the limitations of rectangle-squaring as an approximation to the classical Riemamnn mapping.

@inproceedings{Cannon2008SquaringRF,
title={Squaring Rectangles for Dumbbells},
author={James W. Cannon},
year={2008}
}