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.

中文翻译：

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使用双复数和双曲数的四维空间中的分形类型集

在这项工作的第一部分中，我们从双曲模块的角度研究了双复数的集合。我们利用在双曲数集上定义的偏序。我们回想起先前论文中定义的双曲几何对象的一些属性。借助这些概念，可以构造四维空间中的一些分形类型集。