A mathematical fractal is a geometric shape whose fundamental structure exhibits the property of infinite self-similarity. Continually zooming in on an infinitely self-similar shape reveals multiple, reduced-sized copies of the whole, at every possible scale. Although these shapes can often appear to be inscrutably complex, they typically grow out of relatively simple recursive mathematical formulas.
I create digital fractal images using Ultra Fractal 6, a software application that draws upon a database of fractal formulas, coloring algorithms, and transformations to generate and render infinitely self-similar shapes.
Although each piece begins with my conscious choice of a particular formula, I am invariably, gloriously, reminded that I am not the true author of the finished work. Rather, the fractal's infinite, intrinsic symmetry leads me to the moment of harmony and grace.