The Möbius invariants for circle packings

DOI10.1080/17476933.2016.1179291zbMath1343.52013OpenAlexW2346271899MaRDI QIDQ5739379

Lijuan Nong, Shi-Yi Lan

Publication date: 15 July 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2016.1179291

zbMATH Keywords

triangulationrigiditycircle packingMöbius invariant

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Uses Software

• CirclePack

Cites Work

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• The \(C^{\infty }\)-convergence of circle packings of bounded degree to the Riemann mapping
• Circle patterns with the combinatorics of the square grid
• The convergence of circle packings to the Riemann mapping
• Schwarz's lemma for circle packings
• Schwarz's lemma for circle packings. II
• The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map
• Riemann mapping theorems for Beltrami equations by circle packings
• Circle packings on surfaces with projective structures.
• Hyperbolic and parabolic packings
• Conformally Symmetric Circle Packings: A Generalization of Doyle's Spirals
• A recurrence/transience result for circle packings

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