Demonstrated that the sculk sensor (a new addition to Minecraft this year) admits universal computation by using it to simulate the cellular automaton "Rule 110".

A real-time simulator of systems of ordinary differential equations using Minecraft's built-in scoreboard system. The simulator is available for public download and is pre-programmed with 7 different systems (one of which being Lorenz).

Public world download: https://www.planetminecraft.com/project/lorenz-attractor-simulator/

Applied results of "The Symmetry of Things" textbook to a certain family of sculptures in Minecraft that emulate the topological patterns of cloth.

A multi-video series applying results from "The Symmetry of Things" textbook to Minecraft floor patterns. Aimed at practical building.

Created data packs that allow complex and quaternion arithmetic with Minecraft's scoreboards. This can be used to create smooth animations of spinning shapes dynamically in-game.

Geometry puzzle based on the "Squared Square" puzzle. Found a trivial 5x6x7 solution and showed any other solutions must be much larger. Open prize money available.