Fractal-type sets in the four-dimensional space using bicomplex and hyperbolic numbers

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Abstract

In the first part of this work we study the set of bicomplex numbers from the point of view of a hyperbolic module. We make use of the partial order defined on the set of hyperbolic numbers. We recall some properties of the hyperbolic geometrical objects that were defined in previous papers. With the help of these notions some fractal-type sets in the four dimensional space are constructed.

Original languageEnglish
Article number13
JournalAnalysis and Mathematical Physics
Volume10
Issue number1
DOIs
StatePublished - 1 Mar 2020

Keywords

  • Bicomplex numbers
  • Fractals
  • Hyperbolic numbers

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