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Rex Mathematicae Ring 3d printed

DIGITAL PREVIEW
Not a Photo

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

DIGITAL PREVIEW
Not a Photo

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

DIGITAL PREVIEW
Not a Photo

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

DIGITAL PREVIEW
Not a Photo

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

DIGITAL PREVIEW
Not a Photo

Rex Mathematicae Ring

OVERVIEW
  • 3D printed in Raw Bronze: Organic bronze resembling rose gold with a rough antique finish.
  • Be the first to try. Learn more
  • This product is intended for mature audiences.
$62.00
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Product Description

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
Raw Bronze
Width
4.2 cm
Height
2.0 cm
Depth
4.2 cm

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