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Evolutionary Exploration of Generalized Julia Sets Daniel Ashlock
 

Summary: Evolutionary Exploration of Generalized Julia Sets
Daniel Ashlock
Mathematics and Statistics
University of Guelph,
Guelph, Ontario
Canada, N1G 2W1
dashlock@uoguelph.ca
Brooke Jamieson
Mathematics and Statistics
University of Guelph,
Guelph, Ontario
Canada, N1G 2W1
bjamieso@uoguelph.ca
ABSTRACT
Julia sets are fractal subsets of the complex plane defined
by a simple iterative algorithm. Julia sets are specified by
a single complex parameter and their appearances are
indexed by the Mandelbrot set. This study presents a
simple generalization of the quadratic Julia set that re-
quires two complex parameters. The generalization causes

  

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

 

Collections: Mathematics