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Patterns and Their Interaction in Excitable Media on Face-Centered Cubic Lattice

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Theory and Practice of Natural Computing (TPNC 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11324))

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Abstract

We propose three-state cellular automata on a face-centered cubic lattice as a model of excitable media. Two kinds of propagating patterns, three kinds of extending patterns, and a cuboctahedron-shaped trigger wave were found in some rule sets. Propagating patterns consist of four nonzero cells and they are smaller than the one known in a two-state version. Some stationary patterns can eliminate propagating patterns and the collision between two propagating patterns can erase one or two of them. There is a possibility of developing an information processing system using these patterns and their interaction.

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Author information

Authors and Affiliations

  1. Kanazawa Institute of Technology, Hakusan, Ishikawa, 924-0838, Japan

    Shigeru Ninagawa

Authors
  1. Shigeru Ninagawa
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Correspondence to Shigeru Ninagawa .

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Editors and Affiliations

  1. School of Business, University College Dublin, Dublin, Ireland

    David Fagan

  2. Rovira i Virgili University, Tarragona, Spain

    Carlos Martín-Vide

  3. School of Business, University College Dublin, Dublin, Ireland

    Michael O'Neill

  4. Escuela Politécnica, University of Extremadura, Caceres, Spain

    Miguel A. Vega-Rodríguez

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Ninagawa, S. (2018). Patterns and Their Interaction in Excitable Media on Face-Centered Cubic Lattice. In: Fagan, D., Martín-Vide, C., O'Neill, M., Vega-Rodríguez, M.A. (eds) Theory and Practice of Natural Computing. TPNC 2018. Lecture Notes in Computer Science(), vol 11324. Springer, Cham. https://doi.org/10.1007/978-3-030-04070-3_8

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  • DOI: https://doi.org/10.1007/978-3-030-04070-3_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04069-7

  • Online ISBN: 978-3-030-04070-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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