Book Review: Introduction to circle packing: The theory of discrete analytic functions

DOI10.1090/S0273-0979-09-01245-2zbMath1292.00014MaRDI QIDQ5494746

Philip L. Bowers

Publication date: 29 July 2014

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02) External book reviews (00A17) Circle packings and discrete conformal geometry (52C26)

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Uses Software

• CirclePack

Cites Work

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• Minimal surfaces from circle patterns: geometry from combinatorics
• The convergence of circle packings to the Riemann mapping
• The Schwarz-Pick lemma for circle packings
• Square tilings with prescribed combinatorics
• The combinatorial Riemann mapping theorem
• Quasisymmetric parametrizations of two-dimensional metric spheres
• Three-manifolds with positive Ricci curvature
• Fixed points, Koebe uniformization and circle packings
• Circle packings in surfaces of finite type: An in situ approach with applications to moduli
• Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary.
• A “regular” pentagonal tiling of the plane
• Variational principles for circle patterns and Koebe’s theorem
• Uniformizing dessins and Belyĭ maps via circle packing

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