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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

$73.75
3D printed in organic bronze resembling rose gold with a rough antique finish.
QTY
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;

    
Details
What's in the box:
Rex Mathematicae Ring
Dimensions:
4.21 x 1.95 x 4.23 cm
Switch to inches
1.66 x 0.77 x 1.67 inches
Switch to cm
Success Rate:
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Rating:
Mature audiences only.
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