• Skip to content

genomancer

mathematically inspired art, artistically inspired math

Added my Bridges 2018 paper on Mandelbox shape inversions to arXiv

September 7, 2018 By ghelt

Added my Bridges 2018 paper on Mandelbox shape inversions to arXiv

I submitted a slightly modified version of my Bridges math/art conference paper from 2018 “Extending Mandelbox Fractals with Shape Inversions” to arXiv, and it’s now up at https://arxiv.org/abs/1809.01720

If anyone wants to cite this paper I currently prefer that they cite the arXiv version, since Google Scholar (and likely other publication indexing tools) has not yet indexed the version on the Bridges conference website.

Filed Under: Mandelbox

Bridges Conference 2018 paper: Extending Mandelbox Fractals with Shape Inversions

August 6, 2018 By ghelt

Bridges Conference 2018 paper: Extending Mandelbox Fractals with Shape Inversions

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

Shape Inversion Mandelboxen: Golden HyperMandalas

March 23, 2018 By ghelt

Shape Inversion Mandelboxen: Golden HyperMandalas

Images from experiments in replacing hypersphere inversion in 4D Mandelbox with hybrids of hypersphere and hypercube inversion.

Filed Under: Mandelbox

Shape Inversion Mandelboxen: Cube Inversion Architecture

March 21, 2018 By ghelt

Shape Inversion Mandelboxen: Cube Inversion Architecture

Images from experiments in replacing spherical inversion in 3D Mandelbox with a cube shape inversion.

Filed Under: Mandelbox

Favorite Maurer Roses and Maurer Polylines

April 15, 2016 By ghelt

Favorite Maurer Roses and Maurer Polylines

Some favorite images from my recent experiments on extending and generalizing the concept of Maurer Roses. Rendered in JWildfire.

Filed Under: Maurer Rose

Contact
Copyright © 2023 · genomancer · Gregg Helt
Except where otherwise noted, content on this site is licensed under a Creative Commons Attribution 4.0 License.