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CALCULATING JULIA FRACTAL SETS IN ANY EMBEDDING DIMENSION

Ricardo Fariello, Paul Bourke and JOÃO P. Lopes
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Ricardo Fariello: Universidade Estadual de Montes Claros, Montes Claros, MG, Brazil
Paul Bourke: ��The University of Western Australia, Perth, Australia
JOÃO P. Lopes: Universidade Estadual de Montes Claros, Montes Claros, MG, Brazil

FRACTALS (fractals), 2023, vol. 31, issue 01, 1-7

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 five-dimensional (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 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23500184

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