Page 456: Irreversibility and the Second Law of Thermodynamics
An example of evolution according to rule 37R
An example of evolution according to rule 37R from an initial condition containing a fairly random region. Even though the system is reversible, this region tends to organize itself so as to take on a much simpler form. Information on the initial conditions ends up being carried by localized structures which radiate outwards.

From Stephen Wolfram: A New Kind of Science [citation]