Fractal transformations of harmonic functions
Date
2007
Authors
Barnsley, Michael
Freiberg, Uta
Journal Title
Journal ISSN
Volume Title
Publisher
SPIE - The International Society for Optical Engineering
Abstract
The theory of fractal homeomorphisms is applied to transform a Sierpinski triangle into what we call a Kigami triangle. The latter is such that the corresponding harmonic functions and the corresponding Laplacian Δ take a relatively simple form. This pro
Description
Keywords
Keywords: Algorithms; Chaos theory; Fractals; Harmonic analysis; Laplace equation; Chaos game algorithms; Fractal homeomorphisms; Fractal transformations; Sierpinski triangle; Mathematical transformations
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Source
Proceedings of SPIE: Complexity and Nonlinear Dynamics Conference 2006
Type
Conference paper
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2037-12-31