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Rex Mathematicae Ring

by By Fractal Mathematics

Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed
Rex Mathematicae Ring 3d printed

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Plastic

Frosted Ultra Detail
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  • 3D printed just for you.
  • Raw Bronze: Organic bronze resembling rose gold with a rough antique finish.
$62.00
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About this Product

A ring for all the kings of mathematics at Fractalforums and elsewhere.
Thank you for the formulas Msltoe, D White and all you other geniouses!

I am also amazed by Shapeways being able to print this ring with so much detail in Bronze.
Check out the inside too... it is the real inside of this fractal (invented by Msltoe at Fractalforums)

This ring has an inner diameter of 20.7mm - other sizes at request.

Now also ready with inner diameter of 19,5mm

In the images you see it printed in raw bronze and frosted detail plastic.
(The frosted detail images is of an early prototype)
Mandelbulb 3D > Fiji > Meshlab > Blender > Netfabb > Shapeways > Your finger

And YES! The formula in the images are msltoes original formula for this beautiful fractal.

THE FORMULA:
psi = atan2(z,y)+pi*2;
psi2 = 0;
while (psi > pi/8) {
psi -= pi/4;
psi2 -= pi/4;
}
cs = cos(psi2);
sn = sin(psi2);
y1 = y*cs-z*sn;
z1 = y*sn+z*cs;
y = y1; z = z1;

x1 = (x*x-y*y)*(1-z*z/(x*x+y*y+z*z));
y1 = (2*x*y)*(1-z*z/(x*x+y*y+z*z));
z1 = 2*z*sqrt(x*x+y*y);

y = y1*cs+z1*sn;
z = -y1*sn+z1*cs;

x=x1-0.8;
y=y+0;
z=z+0;

What's in the Box
INCM

Rex Mathematicae Ring in Raw Bronze
Width Height Depth
4.21 cm 1.952 cm 4.234 cm
This model is 3D Printed in Raw Bronze: Organic bronze resembling rose gold with a rough antique finish.
Model version 1 | Last updated on 03/11/2016

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Choose a Material

Plastic

Frosted Ultra Detail
OVERVIEW
  • 3D printed just for you.
  • Raw Bronze: Organic bronze resembling rose gold with a rough antique finish.
$62.00
Secure Checkout
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