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17 - Apollonian Ring Packings

Published online by Cambridge University Press:  25 May 2018

Adrian Bolt
Affiliation:
Iowa State University, Ames, IA 50011, USA
Steve Butler
Affiliation:
Iowa State University, Ames, IA 50011, USA
Espen Hovland
Affiliation:
Iowa State University, Ames, IA 50011, USA
Steve Butler
Affiliation:
Iowa State University
Joshua Cooper
Affiliation:
University of South Carolina
Glenn Hurlbert
Affiliation:
Virginia Commonwealth University
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Summary

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Connections in Discrete Mathematics
A Celebration of the Work of Ron Graham
, pp. 283 - 296
Publisher: Cambridge University Press
Print publication year: 2018

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References

1. Steve, Butler, Ron, Graham, Gerhard, Guettler, and Colin, Mallows. Irreducible Apollonian configurations and packings. Discrete Computat. Geom. 44 (2010), 487–507.Google Scholar
2. Elena, Fuchs. Counting problems in Apollonian packings. Bull. Amer. Math. Soc. 50 (2013), 229–266.Google Scholar
3. Ron, Graham, Jeffrey, Lagarias, Colin, Mallows, Alan, Wilks, and Catherine, Yan. Apollonian circle packings: Number theory. J. Number Theory 100 (2003), 1–45.Google Scholar
4. Ron, Graham, Jeffrey, Lagarias, Colin, Mallows, Alan, Wilks, and Catherine, Yan. Apollonian circle packings: Geometry and group theory I. The Apollonian group. Discrete Computat. Geom. 34 (2005), 547–585.Google Scholar
5. Ron, Graham, Jeffrey, Lagarias, Colin, Mallows, Alan, Wilks, and Catherine, Yan. Apollonian circle packings: Geometry and group theory II. Super-Apollonian group and integral packings. Discrete Computat. Geom. 34 (2006), 37–72.Google Scholar
6. Ron, Graham, Jeffrey, Lagarias, Colin, Mallows, Alan, Wilks, and Catherine, Yan. Apollonian circle packings: Geometry and group theory III. Higher dimensions. Discrete Computat. Geom. 35 (2006), 1–36.Google Scholar
7. Gerhard, Guettler, and Colin, Mallows. A generalization of Apollonian packing of circles. J. Combinat. 1 (2010), 1–27.Google Scholar
8. Jeffrey, Lagarias, Colin, Mallows, and Alan, Wilks. Beyond the Descartes circle theorem. Amer. Math. Monthly 109 (2002), 338–361.Google Scholar
9. Fukagawa, Hidetoshi, and Tony, Rothman. Sacred Mathematics: Japanese Temple Geometry. Princeton University Press, Princeton, NJ, 2008.Google Scholar
10. Kenneth, Stephenson. Circle packing: A mathematical tale. Notices 50 (2003), 1376–1388.Google Scholar

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