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Unit Circle Julia Sets (0°) 3d printed

DIGITAL PREVIEW
Not a Photo

Unit Circle Julia Sets (0°) 3d printed
Unit Circle Julia Sets (0°) 3d printed

DIGITAL PREVIEW
Not a Photo

Unit Circle Julia Sets (0°) 3d printed
Unit Circle Julia Sets (0°) 3d printed

DIGITAL PREVIEW
Not a Photo

Unit Circle Julia Sets (0°)

Made by
$101.31
3D printed in bright orange, richly colored nylon plastic with a smooth finish.
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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. I have realized 4 possibilities for the equation of the axis:

x=3: That's this one.
y=3: Available here.
x-y=3√2: Available here.
x+y=3√2: Actually the same shape as with x-y=3√2.

Versions that show only the quarter belonging to the third quadrant are available in my shop. They are cheaper and/or can be printed in a greater variety of materials.

The polygonal approximations of the Julia sets have been computed for 14 backwards iterations. Due to minimum wire thickness requirements, the actual shape is an offset surface obtained from the ideal approximated Julia sets.
Details
What's in the box:
Unit Circle Julia Sets (0°)
Dimensions:
14.3 x 14.9 x 4.7 cm
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5.63 x 5.87 x 1.85 inches
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Success Rate:
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Rating:
Mature audiences only.
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