Zoomable Fractal Generator

The Zoomable Fractal Generator Applet offers a highly functional user interface that can be used as a tool for studying coordinate dynamics of two complex-parameter quadratic maps. It was first developed to aid in summer Complex Analysis research, but its functionality has been extended to many different quadratic families of interest over the past year. There are nine base families that the Applet uses to generate Mandelbrot Sets and their associated Julia Sets using algorithms that rely on a foundational understanding of dynamical systems. This understanding is consistently supported and extended by the mentorship of UMF mathematics professor Dr. Dan Jackson. Many of the fractals that are drawn using the Applet are the first of their kind and could be a great asset to those researchers who study those systems. With this in mind, Dr. Jackson and I are currently writing a paper on this Applet that we hope to submit for publication upon its completion.



The construction of the Applet itself developed out of a Java Programming topics course in 2006 and realized with many concepts from the Introductory Computer Science courses as well as the “Programming Languages” and “Algorithms” courses at UMF.

The creation of this Applet was supported by two Michael Wilson Research Scholarships.