Access EOS Selective Laser Sintering
with Shapeways   
LEARN MORE

<div id="cookie_notice" class="sw-cookie-notice sw--padding-vert-4 sw--padding-hor-1 sw-dms--box-shadow--big"> <div class="sw-dms--color-white sw-grid-flex sw-grid-flex--wrap-mob sw-grid-flex--wrap--tab"> <div class="sw-cookie-notice__text--mob sw--padding-left-8 sw--font-size-14 sw-grid-flex__cell-5-7 sw-grid-flex__cell-1-1--mob sw-grid-flex__cell-1-1--tab"> We use cookies to offer you a better browsing experience, including personalized advertising. By continuing to use the site you agree to their use. <a href="/legal/privacy-statement" target="_blank">Learn more</a> </div> <div class="sw-grid-flex__cell-2-7 sw-grid-flex__cell-1-1--mob sw-grid-flex__cell-1-1--tab"> <a class="sw-dms-button noty_close sw--padding-hor-7 sw--position-absolute sw--position-right sw--margin-right-13 sw--hide-mobile sw--hide-tablet" data-sw-set-cookie="euCookie">OK</a> <a class="sw-cookie-notice__btn--mob sw-cookie-notice__btn--tab sw-dms-button noty_close sw--padding-hor-7 sw--margin-vert-3 sw--hide-desktop" data-sw-set-cookie="euCookie">OK</a> </div> </div> </div>

Click and drag to rotate
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
$60.50
Ships as soon as 13 days
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
Switch to cm
Success Rate:
First To try.
What's this?
Rating:
Mature audiences only.
Sign In or Join to comment.
 
 
Logo

Hello.

We're sorry to inform you that we no longer support this browser and can't confirm that everything will work as expected. For the best Shapeways experience, please use one of the following browsers:

Click anywhere outside this window to continue.