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math.DS2018★ 2 cited
Tricomplex Distance Estimation for Filled-in Julia Sets and Multibrot Sets
Pierre-Olivier Parisé, Guillaume Brouillette, Dominic Rochon
In this article, we present a distance estimation formula that can be used to ray trace 3D slices of the filled-in Julia sets and the Multibrot sets generated by the tricomplex pol…
math.DS2018★ 11 cited
Characterization of the Principal 3D Slices Related to the Multicomplex Mandelbrot Set
Guillaume Brouillette, Dominic Rochon
This article focuses on the dynamics of the different tridimensional principal slices of the multicomplex Multibrot sets. First, we define an equivalence relation between those sli…