## Michael Field

* “Untitled”*

Archival inkjet print on glossy paper, 17.5" x 17.5" (framed), 2004.

Part of a repeating pattern of type pmg. The pattern was generated using a smooth
symmetric torus mapping and then lifted to the plane. The colors reflect the density
of an associated absolutely continuous invariant measure.

* “Coral Star”*

Archival inkjet print on glossy paper, 17.0" x 17.0" (framed), 2003.

Coral Star is a bounded chaotic attractor for a planar mapping with the symmetry
of the regular 35-gon. The mapping is not smooth at the origin and this results
in some interesting visual effects near the origin. The picture was done as
a gift for a 35th wedding anniversary.

Michael Field, Professor of Mathematics, Department of Mathematics, University
of Houston

"All of my art work is based on ideas rooted in dynamical systems, chaotic dynamics
and invariant measures (part of my field of research). I developed all the software,
algorithms and coloring used for these images. I also built the computers used
to generate the images and printed these inages myself.

My interest primarily lies in the ways in which one can achieve certain desired
artistic effects using a "mathematical palette" (as opposed to using
images toilluminate the mathematics)."

**Another work by the artist **

* “But is it Art?”*

Archival inkjet print on glossy paper, 17.5" x 17.5" (framed), 2007.

This was constructed using a random dynamical system with 25 generators (iterated
function system). The image is not exactly symmetric though is has symmetric features
relating to the symmetry group of the regular 11-gon and the group of rotational
symmetries of the equilateral triangle.