Extending Mandelbox Fractals with Shape Inversions
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2018
- DOI:
- 10.48550/arXiv.1809.01720
- arXiv:
- arXiv:1809.01720
- Bibcode:
- 2018arXiv180901720H
- Keywords:
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- Computer Science - Graphics
- E-Print:
- 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