The Game of Life on a hyperbolic domain

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Abstract
  • Classic 2-D outer totalistic automata such as Conway's Game of Life can be generalized to any domain of cells where each cell has eight neighbors. A circular hyperbolic arrangement of cells is described where each cell has eight neighbors and the time evolution of these hyperbolic automata are visualized in three dimensions. Both random and symmetric initial conditions are investigated using these techniques leading to insight into typical long term behavior and examples of symmetry breaking.
TitleThe Game of Life on a hyperbolic domain
CreatorReiter, Clifford A.
PublisherComputers and Graphics
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date Issued1997
Date Available2015-04-17T20:50:40Z
TypeArticle
LanguageEnglish
Bibliographic CitationReiter, C. A. (1997) "The Game of Life on a hyperbolic domain." Computers and Graphics 21 (5): 673-83.
Standard IdentifierHandle 10385/1815
DOI 10.1016/S0097-8493(97)00043-5
Permalinkhttp://hdl.handle.net/10385/1815
Rights Statement In Copyright In Copyright
Rights HoldersElsevier Ltd.
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