Selected Mathematical Images

Copyright by John M. Sullivan

Over the last ten years I have made a number of computer graphics images of mathematical objects connected with my research in optimal geometry. Please click on any section below to see larger images and a brief mathematical explanation.

Some of these images come from my 1998 videos Knot Energies and The Optiverse.

IMU logo

As of 1999, three of my images are available as fine-art prints.

Soap films

Double bubbles


Regular Polytopes as Bubbles

Other Bubble Clusters

Willmore surfaces

Klein bottles

Energy-Minimizing Knots

The Minimax Sphere Eversion