Squaring rectangles for dumbbells

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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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Complex Variables, 52C20; 52C26

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http://salesiana.dossiersoluciones.com/handle/123456789/163175

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.3014
 http://arxiv.org/abs/0806.3014

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arXiv