Diana Davis and Samuel Lelièvre
We are research mathematicians studying billiards and flat surfaces. Since 2014, we have been working together to study periodic billiard paths on regular polygons, starting with the regular pentagon. We wrote a program in Sage to draw pictures of the paths, which turn out to be really beautiful. We have made our pentagon pictures into jewelry and T-shirts, to bring the beauty of mathematics to more people. We just (in February 2022) added the ability to draw paths on tables with an even number of sides, such as this 32-gon, so we're especially excited about exploring the paths on such tables and understanding their properties.