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Zephyr’s Kiss (Fractal vase - Julia set)

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Creation quality: 5.0/5 (1 vote)
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  • 3 likes
  • 48 downloads

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  • 3c9c1092-d044-4c6c-a6b8-a1c25c931352.stl

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3D model size X 119 × Y 110 × Z 150 mm
Publication date 2022-10-07 at 23:01
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Published to Thingiverse on: 2022-10-07 at 16:08
Design number 875992

3D printer file info

3D model description

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)

Instructions

Prints in vase mode with a line width of 0.45 mm and a layer height of 0.15 mm.

3D printing settings

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