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» A generalization of Apollonian packing of circles
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DCG
2010
69views more  DCG 2010»
13 years 5 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 4 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...
IEICET
2006
55views more  IEICET 2006»
13 years 4 months ago
Inserting Points Uniformly at Every Instance
A problem of arranging n points as uniformly as possible, which is equivalent to that of packing n equal and non-overlapping circles in a unit square, is frequently asked. In this ...
Sachio Teramoto, Tetsuo Asano, Naoki Katoh, Benjam...