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Evolutionary Exploration of the Mandelbrot Set Daniel Ashlock
 

Summary: Evolutionary Exploration of the Mandelbrot Set
Daniel Ashlock
Mathematics and Statistics
University of Guelph,
Guelph, Ontario
Canada, N1G 2W1
dashlock@uoguelph.ca
ABSTRACT
The Mandelbrot set is an infinitely complex fractal
defined by a simple iterative algorithm operating on the
complex numbers. Views of the Mandelbrot set are a com-
mon form of fractal art. Presented here is a collection of
fitness functions that permit three-parameter evolutionary
search of the Mandelbrot set to locate interesting views.
While the system presented is automatic, the hand of the
artist can direct the type of views found by modifying
the fitness function. Based on an envelope that specifies
the character of the fractal landscape desired, the fitness
function is easily reconfigured with minimal programming
skill and without knowledge of complex arithmetic.

  

Source: Ashlock, Dan - Department of Mathematics and Statistics, University of Guelph

 

Collections: Mathematics