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Quarter Unit Circle Julia Sets (0°, filled) 3d printed

Not a Photo

White Strong & Flexible
Quarter Unit Circle Julia Sets (0°, filled) 3d printed
Quarter Unit Circle Julia Sets (0°, filled) 3d printed

Not a Photo

Quarter Unit Circle Julia Sets (0°, filled)

Made by
3D printed in white nylon plastic with a matte finish and slight grainy feel.
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Product Description
The Julia sets of polynomials z²+c, for c varying along the unit circle, arranged in a circle. The only arbitrary parameter of this shape is the position of the rotation axis in the complex plane. This version shows only the quarter belonging to the third qudrant. I have realized 4 possibilities for the equation of the axis, each in 3 different wall strengths:

x=3: Filled (That's this one), thin walls, thick walls.
y=3: Filled, thin walls, thick walls.
x-y=3√2: Filled, thin walls, thick walls.
x+y=3√2: Filled, thin walls, thick walls.
The filled and thick walled variants are suitable for printing in steel.

Versions that show the whole circle are available in my shop.

The polygonal approximations of the Julia sets have been computed for 14 backwards iterations. Due to minimum wall/wire thickness requirements, the actual shape is an offset surface obtained from the ideal approximated Julia sets.
What's in the box:
Quarter Unit Circle Julia Sets (0°, filled)
12.58 x 6.55 x 4.04 cm
Switch to inches
4.95 x 2.58 x 1.59 inches
Switch to cm
Success Rate:
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Mature audiences only.
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