Elementary Cellular Automaton Rules by Gray Code

enumerate rules by

counting order

Gray code order

initialization

enumerate initializations by

counting order

Gray code order

rule numbers

Neighboring tiles evolve according to elementary cellular automaton rules that differ by one bit if Gray ordering is selected. Compare the 256 results for all elementary rules obtained from selected initial conditions of width nine. The initial conditions can be selected by ordinary enumeration order or by Gray code order, in which neighboring initializations differ by exactly one bit.