A blend of dance, poetry, and math explanation. Motivates and explains the fundamental group of the configuration space of three points using dancers.
Performed at the UW Dance Majors Concert my senior year. The dance is inspired by the optimal solution to the Tower of Hanoi puzzle. Much of the choreography is generated using this sequence of moves.
An exploration of the Padelford parking lot in the style of Ecsher.
Inspired by chaos theory, exploring themes of antisymmetry and symmetry.
An exploration of the dynamics of the doubling map on the circle told through poetry, narrative, and stop motion.
An introduction to hyperbolic geometry following the historical narrative and using crocheted hyperbolic surfaces as a model of explanation. This videography combines interview-style video and stop motion.
The last video in a three-part series on the combinatorial Gauss-Bonnet Theorem.
In 2023, I met Shiying Dong who taught me how to make crocheted Seifert surfaces of knots and links. We made an overview video and a tutorial video together for one of her projects. Since then, Shiying has started her own YouTube channel for tutorials of her designs. She has some written explanations of her projects: the trefoil knot and the (3,4) torus knot.
I continue to make models of Seifert surfaces using her techniques. I have also started holding my own topological crochet workshops at U Chicago to teach Shiying's designs. More information on making some of Shiying's designs for yourself can be found on the topological crochet resource page.




As I was thinking about modular stitch graphs (formally called "Modular Multiplication Tables" in my work) and writing Curve Stitching and Dancing Planets, I started experimenting with ways to craft these objects. I devised a method for creating the patterns by wrapping string around cardboard disks. If you would like to try this, here are the materials for the craft:
I learned how to make a model of the Klein quartic out of paper from Chaim Goodman-Strauss. I have since run several workshops to make this craft at U Chicago (2024, 2025) and at SLMath (2026). At SLMath, we honored the Klein quartic statue, the Eightfold Way by introducting him to his brethren. I am working on a tutorial video for this craft, to be published to my YouTube channel. You can find Chaim's instructions to make this here.
