CALCULATING JULIA FRACTAL SETS IN ANY EMBEDDING DIMENSION

被引：3
作者：
Fariello, Ricardo [1 ]
Bourke, Paul [2 ]
Lopes, Joao P. [1 ]
机构：
[1] Univ Estadual Montes Claros, Montes Claros, MG, Brazil
[2] Univ Western Australia, Perth, Australia
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 01期
关键词：
Fractals; Hypercomplex Julia Sets; Visualization; Voxel; MANDELBROT;
D O I：
10.1142/S0218348X23500184
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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