Generalized Apollonian packings

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Nov 1990 English Publisher:Springer Science and Business Media LLCJournal:Communications in Mathematical Physics, volume 134, pages 293-319 (issn: 0010-3616, eissn: 1432-0916,

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Authors: Bessis, Daniel; Demko, Stephen;

doi: 10.1007/bf02097704

Generalized Apollonian packings

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Abstract

The authors construct a packing of circles by considering the images of four given circles of special position and radius under the mappings of a subgroup of SL(2,\({\mathbb{C}})\) generated by two hyperbolic rotations, with corresponding angles \(2\pi\) /N. The results are considered in the context of porous media.

Related Organizations

Georgia Institute of Technology
United States

Keywords

subgroups of SL(2,\({\mathbb{C}})\), packing of circles, 52C15, Packing and covering in \(2\) dimensions (aspects of discrete geometry), Apollonian packing, hyperbolic rotations

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