Extending Mandelbox Fractals with Shape Inversions
Gregg Helt

Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture
Pages 547–550
Short Papers

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.

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