Extending Mandelbox Fractals with Shape Inversions
Graphics
2018-09-07 v1
Abstract
The Mandelbox is a recently discovered class of escape-time fractals which use a conditional combination of reflection, spherical inversion, scaling, and translation to transform points under iteration. In this paper we introduce a new extension to Mandelbox fractals which replaces spherical inversion with a more generalized shape inversion. We then explore how this technique can be used to generate new fractals in 2D, 3D, and 4D.
Cite
@article{arxiv.1809.01720,
title = {Extending Mandelbox Fractals with Shape Inversions},
author = {Gregg Helt},
journal= {arXiv preprint arXiv:1809.01720},
year = {2018}
}
Comments
slightly modified version of paper published in conferences proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture, "Extending Mandelbox Fractals with Shape Inversions", Gregg Helt, July 2018, pp. 547-550