Langton's loops

Langton's loops are a fascinating concept arising from cellular automata, specifically related to the work of Christopher Langton, who is known for studying complex systems and artificial life. In this context, Langton's loops are a specific type of cellular automaton that exemplifies how simple rules can lead to complex behaviors. In a typical setup of Langton's loops, you have a grid (or lattice) of cells, each of which can be in one of two states (e.g.