Mike Field

Professor of Mathematics
University of Houston
Houston, Texas

In my efforts in computer art, graphics and design, I work with chaotic - non-deterministic -

dynamical systems and often make use of symmetry.

Although the time evolution of these systems seems random and haphazard, long-term time averages

often reveal complex and intricate symmetric structure that can lead to a harmonious and beautiful

design. In this way, the images I create are simple instances of the statistical regularity

through which we experience the workings of the universe.

I am particularly interested in using mathematical ideas to create desired artistic effects. Two of the

submitted images use some new algorithms I have been working on recently for colouring complex fractal


Iterations 2006
18" x 18"
Digital print on canvas

A two-colour quilt of type p4g/pgg. Created used a deterministic torus map and lifting the resulting symmetric

pattern on the torus to a repeating pattern on the plane. Printed on canvas. Shown as part of John Sims recent

Rhythm and Structure exhibition at the Bowery Poetry Club, NY.

22" x 22"
Digital print on canvas

This is a complex fractal image which is a composite of the Sierpinski triangle and another

symmetric fractal with 11-fold symmetry. The construction of this image required the development

of new software and coloring algorithms - an ongoing project to create new classes of

visually interesting objects.

26" x 24"
Digital print on canvas

A repeating two-color pattern of type p3m1/p3 created using a deterministic torus map and lifted to the plane as a

repeating pattern.

Much of the effect of this images gets lost in low res/small image file.