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Discrete Comput Geom (2010) 44: 487–507 DOI 10.1007/s00454-009-9216-9 Irreducible Apollonian Configurations and Packings Steve Butler · Ron Graham · Gerhard Guettler · Colin Mallows Received: 18 January 2009 / Revised: 20 July 2009 / Accepted: 20 July 2009 / Published online: 1 August 2009 © The Author(s) 2009. This article is published with open access at Springerlink.com Abstract An Apollonian…