A generalization of Apollonian packing of circles
type: Item
instance of: scholarly article
title: A generalization of Apollonian packing of circles
zbMATH Open document ID: 1204.52020
author: Gerhard Guettler
author: Colin L. Mallows
published in: Journal of Combinatorics
publication date: 2010-08-30T00:00:00Z
review text: An Apollonian circle packing arises in the following way: place two congruent circles inside and tangent to a given third circle, place in the two curvilinear triangles one circle as large as possible and repeat the construction in each new formed curvilinear triangle. In the present paper this construction is generalized by packing not one but three circles within each curvilinear triangle -- thus arises a generalized Apollonian packing. The authors show that many of the properties of the standard Apollonian packing are transferable onto such generalized Apollonian packings.
reviewed by: Eike Hertel
Mathematics Subject Classification ID: 52C26
zbMATH DE Number: 5776201
zbMATH Keywords: Apollonian circle packings
zbMATH Keywords: generalized Apollonian packings
MaRDI profile type: Publication
full work available at URL: joc.2010.v1.n1.a1
OpenAlex ID: W2407242906
DOI: 10.4310/JOC.2010.V1.N1.A1
description: scientific article; zbMATH DE number 5776201