2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 .... ▁ ▁.... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .... ▁ ▁.... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 .... ▁▁ ................ ................ ................ ................ ... ▁ ▁The ▁spir al ▁which ▁is ▁produced ▁can ▁be ▁seen ▁in . ▁ ▁This ▁spir al ▁can ▁easily ▁be ▁seen ▁by ▁following ▁the ▁pattern ▁forward ▁for ▁a ▁few ▁iterations ▁" by ▁hand ". ▁ ▁No ▁computer ▁is ▁necessary . ▁ ▁A ▁theorem ▁As ▁stated ▁in , ▁and ▁proved ▁in ▁ ▁( which ▁also ▁considered ▁n - state ▁models ), ▁if ▁the ▁set ▁of ▁initial ▁ 1 ' s ▁is ▁finite , ▁then ▁every ▁individual ▁cell ▁oscill ates ▁forever ▁through ▁the ▁cycle ▁ 0 , 1 , 2 , 0 ▁ ▁if ▁and ▁only ▁if ▁at ▁the ▁start ▁there