Circle Packing Explorations

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Francesco De Comité: Circle Packing Explorations. In: Bridges 2013. Pages 399–402



Circle packing can be seen as the art of placing tangent circles on the plane, leaving as little unoccupied space as possible. Circle packing is a very attractive field of mathematics, from several points of view. It contains interesting and complex questions, both mathematical and algorithmical, and keeps its properties through a wide range of geometric transformations. There are several ways to obtain and modify circle packing structures, giving rise to an infinity of patterns.

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Used References

[1] Tiffany C. Inglis and Craig S. Kaplan. Circle patterns in gothic architecture. In Robert Bosch, Douglas McKenna, and Reza Sarhangi, editors, Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture, pages 133–140, Phoenix, Arizona, USA, 2012. Tessellations Publishing.

[2] David Mumford, Caroline Series, and David Wright. Indra’s Pearls: the Vision of Felix Klein. Cambridge Univ. Press, Cambridge, 2002.

[3] Frederick Soddy. The Kiss Precise. Nature, 137:1021, 1936.

[4] Kenneth Stephenson. Introduction to Circle Packing. The Theory of Discrete Analytic Functions. Cambridge Univ. Press, Cambridge, 2005.

[5] William Thurston. The Finite Riemann Mapping Theorem, 1985. Invited talk, Purdue University.


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