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Article · Zenodo · November 2, 2022

METHODS OF CONSTRUCTING 3D SHAPES OF HYPERCOMPLEX FRACTALS

Abstract

Abstract. This article is about building fractals and designing 3D shapes. The proposed methods allow users to easily edit fractals in three ways: changing the shape and parameters of the fractals, and changing the angles to create a different shape. Examples of the Menger sponge, Serpin tetrahedron and Mandelbulb fractals have their shape controlled by the Kaleidoscopic effect, and 3D fractal shapes are constructed as variable geometric objects. The “Fraktal me’mor” software tool presented in this article made it possible to develop many attractive forms of kaleidoscopic hypercomplex fractals by changing the flexible parameters of the developed fractals.

Computer Graphics and Visualization TechniquesMathematical Dynamics and FractalsArt, Technology, and CultureMenger spongeMandelbulb

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