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Quarter Unit Circle Julia Sets (45°, thick) 3d printed

DIGITAL PREVIEW
Not a Photo

Polished Bronzed-Silver Steel
Quarter Unit Circle Julia Sets (45°, thick) 3d printed
Quarter Unit Circle Julia Sets (45°, thick) 3d printed

DIGITAL PREVIEW
Not a Photo

Quarter Unit Circle Julia Sets (45°, thick)

Made by
$161.56
Ships as soon as 12 days
3D printed in bronze-infused stainless steel with visible print lines and rough 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, thin walls, thick walls.
y=3: Filled, thin walls, thick walls.
x-y=3√2: Filled, thin walls, thick walls (That's this one).
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.
 
Details
What's in the box:
Quarter Unit Circle Julia Sets (45°, thick)
Dimensions:
11.22 x 4.39 x 6.28 cm
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4.42 x 1.73 x 2.47 inches
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Success Rate:
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Rating:
Mature audiences only.
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