Reinforcement Learning on Aperiodic Tilings
M.Sc. thesis, Radboud University, 2026
My M.Sc. thesis extends my B.Sc. work from the Penrose P3 tiling to Penrose P2 and the recently discovered aperiodic monotile, packaged as reinforcement-learning environments in the gymnasium framework (Penrose-P3-v0, Penrose-P2-v0, Einstein-v0). It also develops an algorithm that exploits novelty in Markov chains to improve exploration and navigation. Whereas periodic environments repeat the same structure everywhere, aperiodic tilings have regularities that depend on scale: increasing the agent’s radius of exploration demands more structural information and makes convergence explicitly scale-dependent. The thesis is not publicly available.
