My work is composed primarily of computer generated, mathematically-inspired, abstract images. I draw from the areas of geometry, fractals and numerical analysis, and combine them with image processing technology. The resulting images powerfully reflect the beauty of mathematics that is often obscured by dry formulae and analyses.
The images are typically generated using fractals. Fractals are created by the repeated iteration of a simple formula using complex numbers (numbers that have two parts, corresponding to the 2 dimensions of a computer screen). These images are identifiable by a characteristic pattern that is repeated throughout the image at different scales. Fractals also have the property that, mathematically speaking, they have infinite detail. That is, you could zoom forever (or to the limit of your computer) into a fractal and never run out of structure. These features, repeating patterns and infinite detail, are why fractals are being used to model natural phenomena, and why I find them interesting.
An overriding theme that encompasses all of my work is the wondrous beauty and complexity that flows from a few, relatively simple, rules. Inherent in this process are feedback and connectivity; these are the elements that generate the patterns. They also demonstrate to me that mathematics is, in many cases, a metaphor for the beauty and complexity in life. This is what I try to capture.