Calculating Julia fractal sets in any embedding dimension

Appearing in Fractals, Complex Geometry, Patterns, and Scaling in Nature and Society
World Scientific, vol. 31(01), pages 1-7. Published February 6, 2023. DOI
Ricardo Fariello1, Paul Bourke, João P. Lopes1
January 2023


1. Universidade Estadual de Montes Claros, Montes Claros, MG, Brazil Abstract

In this paper we compute and display hyperdimensional Julia sets using a multiplication operator that can be applied to any embedding dimension. Special attention is given to 5D Julia sets, which are visualized in 3D through a voxel-based representation and volumetric ray casting rendering.

Keywords
Fractals, Hypercomplex Julia Sets, Visualization, Voxel

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