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Published on Feb 22, 2010
Our deterministic chiral walkers move on a square lattice according to very simple rules. The walkers' L tail segments cannot overlap and their leading A segments (red/orange in the videos) cannot be crossed. As prescribed by their chirality, walkers must turn if possible, or go straight, or else correct earlier steps recursively. The resulting motion traces unbound trajectories and complex periodic orbits with various symmetries. This video shows two interacting walkers both with L=8 and A=4.