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Some Examples of Finite Type Fractals in Three-Dimensional Space

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Fractals, Wavelets, and their Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 92))

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Abstract

By choosing the contraction functions in the Iterated Function System we extend the construction from two-dimensional space to three-dimensional space to build self-similar sets in 3-space. We also extend the neighbor map concept to Iterated Function Systems with different contraction factors in order to identify examples with finite type. Some interesting examples of self-similar sets in three-dimensional space are given.

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Author information

Authors and Affiliations

  1. Duy Tan University, Da Nang, Vietnam

    Mai The Duy

Authors
  1. Mai The Duy
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Corresponding author

Correspondence to Mai The Duy .

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Editors and Affiliations

  1. Institut für Mathematik und Informatik, Universität Greifswald, Greifswald, Mecklenburg-Vorpomm., Germany

    Christoph Bandt

  2. Mathematical Sciences Institute, Australian National University, Canberra, Australia

    Michael Barnsley

  3. Math Department, Boston University, Boston, Massachusetts, USA

    Robert Devaney

  4. Mathematical Institute, University of St Andrews, St Andrews, Fife, United Kingdom

    Kenneth J. Falconer

  5. Department of Mathematics and Statistics, University of Hyderabad, Hyderabad, India

    V. Kannan

  6. Department of Basic Sciences & Humanities, Rajagiri School of Engineering & Technology, Kerala, India

    Vinod Kumar P.B.

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Duy, M.T. (2014). Some Examples of Finite Type Fractals in Three-Dimensional Space. In: Bandt, C., Barnsley, M., Devaney, R., Falconer, K., Kannan, V., Kumar P.B., V. (eds) Fractals, Wavelets, and their Applications. Springer Proceedings in Mathematics & Statistics, vol 92. Springer, Cham. https://doi.org/10.1007/978-3-319-08105-2_12

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