Squaring rectangles for dumbbells

Details Squaring rectangles for dumbbells Squaring rectangles for dumbbells

2008-06-18

arxiv.org/abs/0806.3014v1

Mathematics

Complex Variables

Scientific paper

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.

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