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Fractal transformations of harmonic functions

Date

Authors

Barnsley, Michael

Freiberg, Uta

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

Keywords

Keywords: Algorithms; Chaos theory; Fractals; Harmonic analysis; Laplace equation; Chaos game algorithms; Fractal homeomorphisms; Fractal transformations; Sierpinski triangle; Mathematical transformations

URI

http://hdl.handle.net/1885/17661

Collections

ANU Research Publications

Source

Proceedings of SPIE: Complexity and Nonlinear Dynamics Conference 2006

Type

Conference paper

DOI

10.1117/12.696052

Restricted until

2037-12-31

Downloads

File

Description

01_Barnsley_Fractal_transformations_of_2007.pdf (463.02 KB)

02_Barnsley_Fractal_transformations_of_2007.pdf (192.88 KB)

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