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 Fariello, Paul Bourke, João P. Lopes
January 2023


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.

Fractals, Hypercomplex Julia Sets, Visualization, Voxel

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