Irreducible Apollonian configurations and packings

DOI10.1007/s00454-009-9216-9zbMath1204.52019OpenAlexW2054350194MaRDI QIDQ603845

Gerhard Guettler, Colin L. Mallows, Steve Butler, Ronald L. Graham

Publication date: 8 November 2010

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-009-9216-9

zbMATH Keywords

packinginversionirreducibleEulerianApollonian

Mathematics Subject Classification ID

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

Related Items

The Apollonian structure of Bianchi groups, An interstice relationship for flowers with four petals

Uses Software

• OEIS
• CirclePack
• plantri

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Apollonian circle packings: Geometry and group theory. I: The Apollonian group
• Apollonian circle packings: Geometry and group theory. II: Super-Apollonian group and integral packings
• Apollonian circle packings: Geometry and group theory. III: Higher dimensions
• A generalization of Apollonian packing of circles
• Apollonian circle packings: Number theory
• A circle packing algorithm
• Apollonian circle packings: number theory. II: Spherical and hyperbolic packings