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DCG
2010
69views more  DCG 2010»
13 years 11 months ago
Irreducible Apollonian Configurations and Packings
An Apollonian configuration of circles is a collection of circles in the plane with disjoint interiors such that the complement of the interiors of the circles consists of curvili...
Steve Butler, Ronald L. Graham, Gerhard Guettler, ...
DCG
2006
89views more  DCG 2006»
13 years 11 months ago
Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions
This paper gives n-dimensional analogues of the Apollonian circle packings in Parts I and II. Those papers considered circle packings described in terms of their Descartes configur...
Ronald L. Graham, Jeffrey C. Lagarias, Colin L. Ma...