<div class="sw-email-modal sw--display-block"> <div id="emailModalContentContainer"> <span class="noty_close sw--position-absolute sw--position-right sw--padding-top-3 sw--padding-right-3 icon-cancel sw--opacity-8"></span> <div class="sw-row"> <div class="sw-email-modal__copy sw--position-relative sw--display-block sw--padding-vert-4"> <p class="last sw--font-size-16">Sign up to get email alerts on discount promotions. There might be one very soon...</p> <form action="/register/email-signup" class="sw-email-modal__signup sw--position-relative" data-confirmation="emailConfirmationModal" data-sw-email-modal-form> <input type="text" class="sw-email-modal__signup-input sw--input-height__medium" placeholder="Email address" name="email" /> <input type="hidden" class="sw-email-modal__signup-input" name="location" value="/product/E2ANRCZDK/trefoil-cufflinks?li=productGroup&amp;optionId=7571622" /> <input type="hidden" class="sw-email-modal__signup-input" name="confirmation" value="emailConfirmationModal" /> <input type="submit" class="btn-primary" value="Sign Up" /> <div id="emailModalFormError" class="text-error" style="display:none"></div> </form> </div> </div> </div>

Click and drag to rotate
Trefoil Cufflinks 3d printed

Not a Photo

Raw Silver
Trefoil Cufflinks 3d printed
Trefoil Cufflinks 3d printed

Not a Photo

Trefoil Cufflinks

Made By
  • 3D printed in Raw Silver: Sterling silver mechanically polished to reveal classic beauty and slight texture.
  • Be the first to try. Learn more
  • This product is intended for mature audiences.
Share Link
Embed This Product

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 cufflinks were modelled by twisting a square profile around a curve defined by the equations above. The shaft is composed of three curved square beams that make contact with the three middle points of the Knot.

A beautiful mathematic set of cufflinks inspired by ones that I have and that were crafted by an expert artisan in Taxco, Mexico (home of expert jewellers and silversmiths). The difference is that those are composed by three intertwined rings while these are defined by a parametric equation.

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 cufflink 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).
What's in the Box
Trefoil Cufflinks
Raw Silver
3.4 cm
2.2 cm
2.2 cm

Sign In or Join to comment.


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.