From Sierpinski Triangle to Fractal Flowers
Inhaltsverzeichnis
Reference
Anne M. Burns: From Sierpinski Triangle to Fractal Flowers. In: Bridges 2008. Pages 117–122
DOI
Abstract
We describe an iterated function system consisting of transformations defined by a pair of complex parameters. Each of the transformations maps the unit circle into itself. For one assignment of the parameters the limit set is the famous Sierpinski Triangle. By “continuously” varying the parameters the limit set appears to erode into various shapes, some suggesting a dried river bed and others suggesting fractal flowers.
Extended Abstract
Bibtex
Used References
[1] Michael F. Barnsley, Superfractals, Cambridge University Press, 2006
[2] Anne M. Burns, Evolution of Math into Art via Möbius Transformations, Math+Art=X Proceedings, Boulder, CO, 2005
[3] David Mumford, Caroline Series and David Wright, Indra’s Pearls, the Vision of Felix Klein. Cambridge University Press, 2002
[4] Tristan Needham, Visual Complex Analysis, Oxford University Press, 1997
Links
Full Text
http://archive.bridgesmathart.org/2008/bridges2008-117.pdf
