Reversible Multiplex of Totalistic Cellular Automata

Multiplexed states encode multiple states of a cellular automaton's evolution as one state. This encoding is demonstrated with reversible second-order totalistic automata. The initial condition for such an automaton multiplexes two binary initial conditions into a four-color state. The upper plots show the initial multiplex between its past and future components. The lower plots show the step of the evolution between its relative past and future.