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A Protocol for a Message System for the Tiles of the Heptagrid, in the Hyperbolic Plane

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Computer, Informatics, Cybernetics and Applications

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 107))

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Abstract

This chapter introduces a communication system for the tiles of the heptagrid, a tiling of the hyperbolic plane. The chapter focuses on a short account of an experiment obtained by running a simulation program.

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References

  1. Bonola R, Non-Euclidean Geometry. Dover, 0-486-60027-0, New York,p 389

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  2. Margenstern M (2000) New tools for cellular automata in the hyperbolic plane. J Univers Comput Sci 6(12):1226–1252

    MATH  MathSciNet  Google Scholar 

  3. Margenstern M. (2003) Implementing cellular automata on the triangular grids of the hyperbolic plane for new simulation tools. ASTC’2003 Orlando, March 29–April 4.

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  4. Margenstern M (2006) On the communication between cells of a cellular automaton on the penta- and heptagrids of the hyperbolic plane. J Cell Autom 1(3):213–232

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  5. Margenstern M (2007) Cellular automata in hyperbolic spaces vol 1, pp 422, Theory, OCP, Philadelphia

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  6. Margenstern M (2008) Cellular automata in hyperbolic spaces. Implementation and computations, vol 2, p 360, OCP, Philadelphia

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  7. Margenstern M (2011) Possible applications of navigation tools in tilings of the hyperbolic plane. Lect Notes Electr Eng 70:217–229

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Professor Emeritus of Université Paul Verlaine—Metz LITA, EA 3097 UFR-MIM, and CNRS, LORIA Campus du Saulcy, 57045, Metz, Cédex, France

    Maurice Margenstern

Authors
  1. Maurice Margenstern
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Corresponding author

Correspondence to Maurice Margenstern .

Editor information

Editors and Affiliations

  1. Chinese Academy of Engineering, Beijing, China, People's Republic

    Xingui He

  2. Zhejiang Gongshang University, Beijing, China, People's Republic

    Ertian Hua

  3. Zhejiang Gongshang University, Hangzhou, China, People's Republic

    Yun Lin

  4. , School of Automation, Wuhan University of Technology, East District of Wuhan University, Luoshi Road 122, Wuhan, 4300, China, People's Republic

    Xiaozhu Liu

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© 2012 Springer Science+Business Media B.V.

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Margenstern, M. (2012). A Protocol for a Message System for the Tiles of the Heptagrid, in the Hyperbolic Plane. In: He, X., Hua, E., Lin, Y., Liu, X. (eds) Computer, Informatics, Cybernetics and Applications. Lecture Notes in Electrical Engineering, vol 107. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1839-5_40

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  • DOI: https://doi.org/10.1007/978-94-007-1839-5_40

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-1838-8

  • Online ISBN: 978-94-007-1839-5

  • eBook Packages: EngineeringEngineering (R0)

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