From Sierpinski Triangle to Fractal Flowers

Year: 2008 Authors: Anne M. Burns

Core claim

Continuously varying complex parameters in a Möbius-based IFS dramatically changes the limit set from the Sierpinski Triangle to other visually rich fractal forms.

Topics

iterated function systems, Möbius transformations, fractal limit sets, parameter variation, mathematical art

Domains

complex analysis, dynamical systems, fractal geometry, group actions, mathematical art, visualization, generative imagery, exhibit design

Methods

iterated function system, Möbius composition, parameter interpolation, image superimposition

Media

unit circle, computer-generated images, animated image sequences, photographic reference

Source status

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