Cyclic cellular automata in 3D

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Abstract
  • Cyclic cellular automata in two dimensions have long been intriguing because they self organize into spirals and that behavior can be analyzed. The form for the patterns that develop is highly dependent upon the form of the neighborhood. We extend this work to three dimensional cyclic cellular automata and observe self organization dependent upon the neighborhood type. This includes neighborhood types intermediate between Von Neumann and Moore neighborhoods. We also observe that the patterns include nested shells with the appropriate forms but that the nesting is far more complex than the spirals that occur in two dimensions.
TitleCyclic cellular automata in 3D
CreatorReiter, Clifford A.
PublisherChaos Solitons and Fractals
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date IssuedSeptember 2011
Date Available2015-04-17T18:15:25Z
TypeArticle
LanguageEnglish
KeywordCyclic State
Self-organizing
3D automata
Cyclic Automata
Bibliographic CitationReiter, C. A. (2011 Sept.) "Cyclic cellular automata in 3D." Chaos Solitons and Fractals 44 (9): 764-768.
Standard IdentifierDOI 10.1016/j.chaos.2011.06.014
Handle 10385/1798
Permalinkhttp://hdl.handle.net/10385/1798
Rights Statement In Copyright In Copyright
Rights HoldersElsevier Ltd.
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