Circle patterns in Gothic Architecture
Inhaltsverzeichnis
Reference
Tiffany C. Inglis and Craig S. Kaplan: Circle patterns in Gothic Architecture. In: Bridges 2012. Pages 133–140
DOI
Abstract
Inspired by Gothic-influenced architectural styles, we analyze some of the circle patterns found in rose windows and semi-circular arches. We introduce a recursive circular ring structure that can be represented using a set-like notation, and determine which structures satisfy a set of tangency requirements. To fill in the gaps between tangent circles, we add Appollonian circles to each triplet of pairwise tangent circles. These ring structures provide the underlying structure for many designs, including rose windows, Celtic knots and spirals, and Islamic star patterns.
Extended Abstract
Bibtex
Used References
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[7] David Mumford, Caroline Series, and David Wright. Indra’s Pearls: The Vision of Felix Klein. Cambridge University Press, Cambridge, 2002.
[8] Kenneth Stephenson. Introduction to Circle Packing: The Theory of Discrete Analytic Functions. Cambridge University Press, April 2005.
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Links
Full Text
http://archive.bridgesmathart.org/2012/bridges2012-133.pdf
