Zephyr’s Kiss (Fractal vase - Julia set)

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Swirls settle gently into a seductive silky form, giving rise to a spectacle of morphing fractals. Designed as a stack of quadratic Julia sets, where each set is similar to the sets immediately above and below it. The sets are defined as the set of all complex points z which do not diverge to infinity under the transformation: z -> z^2 + c, where c is some complex number. If we sample c at regular intervals along a smooth path inside the Mandelbrot set, we obtain a series of connected Julia sets locally similar enough to form a continuous surface when stacked. By choosing an appropriate path for c, the Julia sets consist of a closed curve without self-intersections at each stage, producing a surface with printable overhangs.   Inspired by: Julia Vase - Collections - virtox - Thingiverse

About the author:
voidbubble
Open source models by cosmicjubilee.com A trove of procedurally generated ornaments. Unique, mesmerizing patterns, emerging from the interplay between order and chaos.

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