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International Conference on Computational Collective Intelligence

ICCCI 2012: Computational Collective Intelligence. Technologies and Applications pp 288–297Cite as

Ten Years of Weakly Universal Cellular Automata in the Hyperbolic Plane

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7653))

Abstract

In this paper, we indicate the progression over ten years of the study of weakly universal cellular automata in the hyperbolic plane. This research obtained the ultimate limit with a weakly universal cellular automaton with two states which is rotation invariant and also actually planar, a new result.

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Author information

Authors and Affiliations

  1. LITA EA 3097, UFR MIM, Université de Lorraine, Campus du Saulcy, 57045, METZ Cédex 1, France

    Maurice Margenstern

Authors
  1. Maurice Margenstern
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Editor information

Editors and Affiliations

  1. Institute of Informatics, Wroclaw University of Technology, Wyb. Wyspianskiego 27, 50-370, Wroclaw, Poland

    Ngoc-Thanh Nguyen

  2. University of Information Technology, National Vietnam University VNU-HCM, Ho Chi Minh city, Vietnam

    Kiem Hoang

  3. Gdynia Maritime University, Str. Morska 81-87, 81-225, Gdynia, Poland

    Piotr Jȩdrzejowicz

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© 2012 Springer-Verlag Berlin Heidelberg

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Margenstern, M. (2012). Ten Years of Weakly Universal Cellular Automata in the Hyperbolic Plane. In: Nguyen, NT., Hoang, K., Jȩdrzejowicz, P. (eds) Computational Collective Intelligence. Technologies and Applications. ICCCI 2012. Lecture Notes in Computer Science(), vol 7653. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34630-9_30

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  • DOI: https://doi.org/10.1007/978-3-642-34630-9_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34629-3

  • Online ISBN: 978-3-642-34630-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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