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Trefoil Earrings 3d printed Front and Side [Polished Silver]

DIGITAL PREVIEW
Not a Photo

Front and Side [Polished Silver]
Trefoil Earrings 3d printed Front and Side [Polished Silver]
Trefoil Earrings 3d printed Front and Side [Polished Silver]

DIGITAL PREVIEW
Not a Photo

Trefoil Earrings 3d printed Front (with stoppers [NOT included]) [Polished Silver]
Trefoil Earrings 3d printed Front (with stoppers [NOT included]) [Polished Silver]

DIGITAL PREVIEW
Not a Photo

Trefoil Earrings 3d printed
Trefoil Earrings 3d printed

DIGITAL PREVIEW
Not a Photo

Trefoil Earrings

Made by
$48.00
3D printed in smooth and slightly textured sterling silver hand-polished to a mild sheen.
QTY
Product Description

 

The Trefoil Knot is a 3D curve totally drawn on a torus' surface. Part of the toroidal knots family, it is defined by the following parametric equations:

  • x = (2 + cos 3t) cos 2t
  • y = (2 + cos 3t) sin 2t
  • z = sin 3t
    for t between 0 and 2*π

These earrings were modelled by twisting a square profile around a curve defined by the equations above.

A couple of curious facts about these:

  1. While touching one face, it takes four full turns around the axis to return to the starting position. That means that this knot is also a Möbius Strip and therefore is a solid with only one surface and one edge.
  2. One earring is the mirror image of the other, but they are not topologically identical. That means that one can not be deformed into the other. Therefore there is a right-hand knot and a left-hand knot (Chirality).

 

Details
What's in the box:
Trefoil Earrings
Dimensions:
2.15 x 1.53 x 0.93 cm
Switch to inches
0.85 x 0.6 x 0.36 inches
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Success Rate:
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Rating:
Mature audiences only.
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