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

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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… Click to show full 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.

Keywords: fractal type; sets four; four dimensional; hyperbolic numbers; dimensional space; type sets

Journal Title: Analysis and Mathematical Physics
Year Published: 2020

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