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A Probabilistic Cellular Automata Rule Forming Domino Patterns

  • Rolf HoffmannEmail author
  • Dominique Désérable
  • Franciszek Seredyński
Conference paper
  • 270 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11657)

Abstract

The objective in this study is to form a domino pattern by Cellular Automata (CA). In a previous work such patterns were formed by CA agents, which were trained with high effort by the aid of Genetic Algorithm. Now two probabilistic CA rules are designed in a methodical way that can perform this task very reliably even for rectangular fields. The first rule evolves stable sub–optimal pattern. The second rule maximizes the overlap between dominoes thereby maximizing the number of dominoes.

Keywords

Pattern formation Probabilistic cellular automata Matching templates Asynchronous updating Parallel Substitution Algorithm 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Rolf Hoffmann
    • 1
    Email author
  • Dominique Désérable
    • 2
  • Franciszek Seredyński
    • 3
  1. 1.Technische Universität DarmstadtDarmstadtGermany
  2. 2.Institut National des Sciences AppliquéesRennesFrance
  3. 3.Department of Mathematics and Natural SciencesCardinal Stefan Wyszynski UniversityWarsawPoland

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