Table 2: Patterns from Disordered States

Patterns generated by evolution from disordered initial states.

Each picture is for a different rule. All the ``minimal representative'' rules of table 1 are included. (Other rules have patterns equivalent to those of their minimal representatives.)

Sites with values 1 and 0 are represented respectively by black and white squares. The initial configuration is at the top of each picture. The values of sites in it are chosen randomly to be 0 or 1 with probability . Successive lines are obtained by applications of the cellular automaton rule.

These pictures show the evolution of cellular automata with 80 sites for 60 time steps. Periodic boundary conditions were imposed on the edges.

Different specific initial configurations for a particular rule almost always yield qualitatively similar patterns. Different rules are however seen to give a wide variety of different kinds of patterns.

previous  l  next