Like a lot of folks, I’ve been using AI to speed up everyday tasks at work and at home, but I’ve been looking for a good excuse to sit down, vibe code, and deploy a full interactive app entirely from scratch.

Recently, I read a fascinating Quanta Magazine article about the Busy Beaver problem—a theoretical computer science puzzle that quickly escalates from simple logic into numbers that literally break the boundaries of modern mathematics. I realized this was the perfect project. I wanted to actually visualize and play this like a game, and AI could help me build the sandbox.

You can try it out right here: Play the Busy Beaver Simulator

It’s a fully functional Turing machine simulator right in your browser. You write the rules, and the little beaver 🦫 runs up and down the tape executing them. Try to leave as many 1s on the board as possible before the program halts, or load up one of the historical champion machines to see how quickly things spiral out of control.