Conformally Symmetric Circle Packings: A Generalization of Doyle's Spirals

DOI10.1080/10586458.2001.10504437zbMath0987.52008arXivmath/0005245OpenAlexW1994635623MaRDI QIDQ2729387

Tim Hoffmann, Alexander Ivanovich Bobenko

Publication date: 22 July 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005245

zbMATH Keywords

Airy functionMöbius transformationhexagonal circle packingconformally symmetric circle packingDoyle's spiral

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15)

Related Items (5)

Hexagonal circle patterns with constant intersection angles and discrete Painlevé and Riccati equations ⋮ On Negatons of the Toda Lattice ⋮ Hexagonal circle patterns and integrable systems: Patterns with constant angles ⋮ The Möbius invariants for circle packings ⋮ Discrete power functions on a hexagonal lattice I: derivation of defining equations from the symmetry of the Garnier system in two variables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Circle patterns with the combinatorics of the square grid
• Schwarz's lemma for circle packings
• The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map
• Spiral hexagonal circle packings in the plane
• Circle packing immersions form regularly exhaustible surfaces
• Circle Packing: Experiments In Discrete Analytic Function Theory

This page was built for publication: Conformally Symmetric Circle Packings: A Generalization of Doyle's Spirals