Tubing Sculpture

For a few years, I’ve been playing with tubing sculptures, like these, with the aim of illustrating symmetries of the hypersphere, described in the final chapter of The Symmetries of Things. Here are some in

Gyring Gyroid

Gyring Gyroid (w Eugene Sargent, 2012, in honor of Tom Rodgers) This piece of samurai space insect armor shows a particular mathematical surface, the gyroid, that naturally arises in many forms. Discovered by Alan Schoen,

A Woven Klein Quartic

Curvature is determined by local geometry, and this can be controlled. A pattern with a particular symmetry is often in an infinite family of patterns, all with the same underlying motif, but of varied curvature

The Pinwheel Tiling

Sometime around 1991, Charles Radin commissioned John Conway for a substitution tiling for which the tiles appeared in infinitely many orientations, and soon John obliged with the Pinwheel. The Pinwheel is formed from right triangles,

The Math Factor

In the fall of 2003 (as a strategic move to have the department seem more community minded) I began putting a weekly puzzle problem on the University of Arkansas campus wide listserv. This caught the

Symmetry here and there

All of these photos were taken in 2022, for the upcoming The Magic Theorem of the Symmetries of Things, a second edition of the first part of the book, with expanded exercises and examples, in

A few groovy images

All of these groovy pix use maps from the plane to itself, taking a periodic pattern into the plane in a distorted way. Don’t stare into the middle for too long…

Double Triamond, w/ Hexastix!

“Double Triamond, w/ Hexastix!” created in collaboration with Eugene Sargent, was assembled at the eighth Gathering for Gardner, at Tom Rodgers’ and Sarah Garvin’s beautiful Japanese style gardens and home in Atlanta in 2008. The