Circle packings from tilings of the plane

DOI10.1007/s00022-024-00715-8arXiv2302.06202MaRDI QIDQ6131544

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Publication date: 5 April 2024

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.06202

zbMATH Keywords

circle packingApollonian packingKoebe-Andreev-Thurston theorempolyhedral packing

Mathematics Subject Classification ID

Geometric group theory (20F65) Structure of modular groups and generalizations; arithmetic groups (11F06) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Circle packings and discrete conformal geometry (52C26)

Cites Work

• Circle patterns with the combinatorics of the square grid
• The convergence of circle packings to the Riemann mapping
• Existence and uniqueness of packings with specified combinatorics
• On the local-global conjecture for integral Apollonian gaskets. With an appendix by Péter P. Varjú
• Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
• Rigidity of Infinite (Circle) Packings
• Lectures on Polytopes
• Beyond the Descartes Circle Theorem
• The Apollonian structure of Bianchi groups
• Apollonian Ring Packings
• Representations of Planar Graphs
• Geometry and arithmetic of crystallographic sphere packings
• Local-global principles in circle packings
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