Squaring rectangles for dumbbells
Complex Variables
2008-06-19 v1
Abstract
The theorem on squaring a rectangle from a tiling of a quadrilateral (Schramm and Cannon-Floyd-Parry) 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.
Keywords
Cite
@article{arxiv.0806.3014,
title = {Squaring rectangles for dumbbells},
author = {J. W. Cannon and W. J. Floyd and W. R. Parry},
journal= {arXiv preprint arXiv:0806.3014},
year = {2008}
}