A sharp estimate for the hexagonal circle packing constants

DOI10.1007/s10711-009-9433-7zbMath1194.30007OpenAlexW2124441966MaRDI QIDQ976838

Jinsong Liu, Zheng-Xu He

Publication date: 16 June 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-009-9433-7

zbMATH Keywords

circle packingquasiconformal maprigidity constant

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Cites Work

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• The convergence of circle packings to the Riemann mapping
• Schwarz's lemma for circle packings. II
• An estimate for hexagonal circle packings
• Convergence of circle packings of finite valence to Riemann mappings
• The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map
• Second derivatives of circles packings and conformal mappings
• The asymptotic value of the circle-packing rigidity constants \(s_ n\)
• On the convergence of circle packings to the Riemann map
• Circle packings in the approximation of conformal mappings
• Transformation Groups and Natural Bundles
• The Hexagonal Packing Lemma and the Rodin Sullivan Conjecture

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