Squaring Rectangles for Dumbbells

Abstract

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.

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Cite this paper

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