Squaring rectangles for dumbbells

J. W. Cannon; W. J. Floyd; W. R. Parry

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arXiv · 0806.3014

Squaring rectangles for dumbbells

J. W. Cannon·W. J. Floyd·W. R. Parry

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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.

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BibTeX RIS

J. W. Cannon, W. J. Floyd, W. R. Parry. 2008-06-18. Squaring rectangles for dumbbells. https://arxiv.org/abs/0806.3014

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