Mandelshapes: Thinking Outside the Mandelbox

Year: 2019 Authors: Gregg Helt

Core claim

Radial reflection extends Mandelbox iteration to generate non-cubic Mandelshapes that mimic prescribed radial boundary shapes in 3D and 4D.

Topics

escape-time fractals, shape-controlled iteration, hypermandalas, 4D fractals

Domains

fractal geometry, iterative algorithms, higher-dimensional geometry, generative art, video art, visual design

Methods

radial reflection, Mandelbox iteration, shape inversion, 3D and 4D projection

Media

GLSL shader fragments, Fragmentarium, GitHub code

Source status

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