Class one cellular automata: Difference between revisions

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{{Glossary}}
#REDIRECT [[Wolfram's classification#Class one cellular automata]]
'''Class one''' [[cellular automata]], according to the classification system of [[Stephen Wolfram]], are those where the development of all [[pattern]]s tends towards [[vacuum (empty space)|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 has been 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