A Life-Like Rule Where Random IslandsEither Grow or Shrink

The life-like cellular Automata rule B34678/S3678 is a state symmetricrule with the unusual property that any area of one state in a universe ofthe other will transform into an area which is a chaotic mixture of bothstates. This area may either expand to fill the universe or shrink to anempty universe or a few small stable patterns. Larger patterns are morelikely to expand than small ones. Statistical analysis of this behaviouris presented. It is noted that the chaotic mixture behaves like an extrastate which is not symmetric with the others representing emergence ofasymmetry.