Circle Packing Explorations
Inhaltsverzeichnis
Reference
Francesco De Comité: Circle Packing Explorations. In: Bridges 2013. Pages 399–402
DOI
Abstract
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.
Extended Abstract
Bibtex
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.
Links
Full Text
http://archive.bridgesmathart.org/2013/bridges2013-399.pdf
