## Selected Mathematical Images

http://www.math.uiuc.edu/~jms

jms@math.uiuc.edu

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.

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

**Soap films**

**Double bubbles**

**Foams**

**Regular Polytopes as Bubbles**

**Other Bubble Clusters**

**Willmore surfaces**

**Klein bottles**

**Energy-Minimizing Knots**

**The Minimax
Sphere Eversion**