He served as a mathematics and science professor at the University of Advancing Technology in Tempe, Arizona.
As of 2015, he works as a manager at Maricopa County Community College District in Tempe, Arizona.
He ascribes his artistic awakening to a 1985 article in Scientific American on the Mandelbrot set, explaining:[5] Like many others, I was amazed at the beauty that arose from iterating such a simple formula.
[4] The artist Janet Parke notes that in the manifesto, Mitchell suggests that fractal art cannot be made by a computer alone, and that not everyone who has a computer can necessarily make good fractal art.
Instead, she explains, Mitchell is arguing that the artist's creative process is needed to inject elements such as the considered selection of colours and gradients, the merging of multiple layers, and decisions on composition such as by zooming in to a fractal.