This Demonstration looks at generalizations of this system, where additional Mathematica list primitives (Accumulate, Append, Differences, Flatten, ListConvolve, ListCorrelate, Most, Partition, Rest, RotateLeft, RotateRight, and Sort) are used instead of Reverse. Even with these basic operations on lists of 0's and 1's, we immediately recognize complex behavior, demonstrating that small sets of Mathematica primitives are enough to produce such behavior.