Squaring rectangles for dumbbells

DOI10.1090/S1088-4173-08-00182-3zbMath1191.30005arXiv0806.3014OpenAlexW2593818041MaRDI QIDQ3559519

Walter R. Parry, James W. Cannon, William J. Floyd

Publication date: 6 May 2010

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3014

zbMATH Keywords

dumbbellquadrilateralRiemann mapping theoremsquaring rectangles

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Schwarz-Christoffel-type mappings (30C30) Circle packings and discrete conformal geometry (52C26)

Related Items (4)

Incompressibility of domain-filling circle packings ⋮ The triple intersection property, three dimensional extremal length, and tiling of a topological cube ⋮ Domain-filling circle packings ⋮ Discrete extremal length and cube tilings in finite dimensions

Cites Work

• Square tilings with prescribed combinatorics
• On the convergence of circle packings to the Riemann map
• Finite subdivision rules
• Expansion complexes for finite subdivision rules. I
• Unnamed Item

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