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Bridges Conference 2018 paper: Extending Mandelbox Fractals with Shape Inversions

August 6, 2018 By ghelt

I just got back from the amazing Bridges 2018 math/art conference in Stockholm. I gave a talk presenting results from my paper “Extending Mandelbox Fractals with Shape Inversions”, which was published in the conference’s peer-reviewed proceedings. Full paper PDF can be found at http://archive.bridgesmathart.org/2018/bridges2018-547.html

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.

Filed Under: Mandelbox

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