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Hopf Fibration, 12.7 cm 3d printed

Not a Photo

Polished Bronze Steel
Hopf Fibration, 12.7 cm 3d printed
Hopf Fibration, 12.7 cm 3d printed

Not a Photo

Hopf Fibration, 12.7 cm

3D printed in enhanced bronze color, polished to a mild sheen with visible print lines.

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Product Description
A larger model of the Hopf fibration with 2 mm  diameter wires; 12.7 cm across, large enough to print in the steels. 

The easiest way to understand this model of the Hopf fibration (actually 2 of them, crossing one another at right angles) may be to see it as a torus surface being turned inside-out through a hole in its side. The structure is entirely composed of circles, or arcs of them, forming a deformed grid on the torus. 

For a great video of the Hopf fibration, see:

For a clear discussion of the math, and of the 4th dimension and stereographic projection, with great videos, see:

What's in the box:
Hopf Fibration.2.0 mm
12.76 x 4.22 x 12.62 cm
Switch to inches
5.02 x 1.66 x 4.97 inches
Switch to cm
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What's this?
Mature audiences only.
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