New Generalizations of Quadratic Julia Sets to 3D

Year: 2019 Authors: Václav Kučera

Core claim

A carefully chosen Kleinian-group model can extend quadratic Julia-set behavior into 3D, including special cases with genuine fractal structure.

Topics

Julia sets, Kleinian groups, 3D fractals, complex dynamics, Sullivan’s dictionary

Domains

complex dynamics, fractal geometry, Möbius transformations, Kleinian limit sets, visualization, mathematical imagery

Methods

iterated mapping, group action, circle inversion, sphere inversion, theoretical analogy

Media

computer-generated fractal images, 2D and 3D limit-set diagrams

Source status

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