Zephyr’s Kiss (Fractal vase - Julia set)
Zephyr’s Kiss (Fractal vase - Julia set)
Published 2022-10-07T16:36:50+00:00
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](https://www.thingiverse.com/virtox/collections/julia-vase)
Prints in vase mode with a line width of 0.45 mm and a layer height of 0.15 mm.
Date published | 07/10/2022 |
Support Free | YES |