Class one cellular automata: Difference between revisions

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{{Glossary}}
#REDIRECT [[Wolfram's classification#Class one cellular automata]]
'''Class one''' [[cellular automata]] are those where the development of all [[pattern]]s tends towards [[vacuum]].
 
Class one has many similarities to [[class two cellular automata]]. It is in several cases simple to prove that no [[growth pattern]] can exist in a [[Life-like]] or closely related cellular automaton. Showing the nonexistence of [[still life]]s or [[oscillator]]s can be, however, more difficult. As such, it can be difficult to distinguish class two CA whose [[ash]] has extremely low [[density]] from class one.
 
It is debatable whether [[agar]] solutions are sufficient to claim a CA as class two and not class one. As an extreme example, in the Life-like CA B/S8, exactly one pattern exists that does not evolve to vacuum: 'antivacuum', the infinite field of ''live'' cells.
 
Given their highly predictable nature, there is very little interest in detailed investigation of class one automata, and none appear to have established names.
 
===See also===
* [[Class three cellular automata]]
* [[Class four cellular automata]]

Latest revision as of 04:23, 2 March 2021