Generalized Apollonian packings
type: Item
instance of: scholarly article
title: Generalized Apollonian packings
zbMATH Open document ID: 0714.52006
DOI: 10.1007/BF02097704
author: D. Bessis
author: Stephen Demko
published in: Communications in Mathematical Physics
publication date: 1990-01-01T00:00:00Z
review text: 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.
reviewed by: Hermann Heineken
Mathematics Subject Classification ID: 52C15
zbMATH DE Number: 4175885
zbMATH Keywords: subgroups of SL(2,\({\mathbb{C}})\)
zbMATH Keywords: Apollonian packing
zbMATH Keywords: packing of circles
zbMATH Keywords: hyperbolic rotations
MaRDI profile type: Publication
cites work: Q5187244
cites work: Q3714302
cites work: Transport processes in fractals—I. Conductivity and permeability of a leibniz packing in the lubrication limit
cites work: Q3568482
cites work: The residual set dimension of the Apollonian packing
cites work: A new proof for the residual set dimension of the apollonian packing
cites work: The Apollonian Packing of Circles
cites work: Geometry. I, II. Transl. from the French by M. Cole and S. Levy
cites work: The Osculatory Packing of a Three Dimensional Sphere
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description: scientific article; zbMATH DE number 4175885