Hexagonal Parquet DeformationsI was commissioned to design a series of works based on classifications of hexagons. I considered hexagon classes derived from symmetry: equilateral and equiangular hexagons with one, two, or three axes of reflective symmetry. I expressed the variation within each class by designing parquet deformations, giving a static image that is full of motion and change.
Each one is a sort of tightlyarranged family portrait. 

Sangaku
During the Edo period (16031867) Japanese people of all social classes created mathematical tablets called sangaku to be placed as offerings in Shinto shrines and Buddhist temples. These tablets were meant for contemplative meditation and usually featured theorems or problems from Euclidean geometry. During meditation, the geometric configurations were meant to suggest mathematical truth or perhaps a problem to be solved. They serve as an inspiration to mathematical thinking.
With inspiration in mind, I created a series of sangaku to hang above my chalkboard, as meditative offerings to my students. 

Compass Constructions
It's sort of miraculous that simple, numberless tools like compass and straightedge can create such beauty and perfection. The images to the right comprise a rather indepth study of the Platonic and Archimedean Solids  ancient forms adored for their charming spherical symmetry. Each is an orthogonal projection of a solid, along one of its axes of symmetry.




Yoshimoto Shorts
Together with Justin Lanier, I created a stopmotion animated shorts to show off the properties of the Yoshimoto Cube. The second short showcases a onesheet cutandfold model I designed. This model includes builtin paper hinges, an improvement on the usual tape, which wears and tears quickly.



Stars of the Mind's Sky
Using a protractor to make stars was one of the first times I ever used mathematics to make something. Decades later, I created a series called "Stars of the Mind's Sky" to explore and expose the beautiful structure among these stars.
I wrote Mathematica code to generate the first image on the right. The stars are arranged in rings based on the number of points they have. They are colored by the number of pieces they are, the Star of David being two pieces, for example. The images below show a complete set of twelvepointed stars, which I laser cut from acrylic sheet, arranged, and photographed. 

More of my art can be found on instagram.