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Item details



steel, silver, gold, brass, bronze

An umbilic torus is a fascinating form. Comparable to a Mobius strip, it features a single surface that loops around three times before returning to its starting point. The result is a solid that features some of the properties of a Mobius strip but retains its orientability.

This version of an umbilic torus is perfectly sized for a pendant or a keychian. It's striking curves make a bold statement and its gentle curves provide a tactile surface that's just as fun to touch and hold as it is to look at. Perfect as a pendant, a keychain, or simply a desk toy.

Shipping & returns

Made just for you. Ready to ship in 3–4 weeks.
From Chicago, IL
No returns or exchanges
But please contact me if you have any problems with your order.

Meet ThinkIllogical

Alex Berkowitz

Alex Berkowitz

Chicago, Illinois

This seller usually responds within a few hours.

All of my products are produced using advanced 3D printing processes provided by Shapeways. Therefore, material selection is based on their available options. You can find information regarding Shapeways' materials at:
Higher order volumes can be accommodated by request. Please contact me if you would like to order a larger quantity of an item than what is listed.
My rings are listed in the most common U.S. whole sizes, but I can generally accommodate half sizes and European sizes without too much trouble. Simply include a note with your order or send me a message indicating your needs.
I can provide chains at any length (within reason). Simply include a note with your order or send me a message indicating the size you would like.


5 out of 5 stars (9)
  • Alex Poliakov Jul 24, 2019
    5 out of 5 stars
    Really like it!
    Got it as a gift in "Silver-mirror." I like this polished look more than the one on the product page. Feels solid, fun to look at. Wife really digs it too.

    One issue - the fastening hook on the cord is open a little too much; looks a little insecure. Just like a previous customer said - may want to use a different cord.
    Alex Poliakov reviewed Umbilica
  • kshuck Apr 26, 2019
    5 out of 5 stars
    These are exactly as I'd hoped.
    kshuck reviewed Revolved Reuleaux Triangle
    Revolved Reuleaux Triangle
  • Hannah England Nov 26, 2018
    5 out of 5 stars
    Good shipping time and great packaging! I've received larger 3D printed objects for cheaper, so I'm still trying to figure out if it's WORTH the price, but the vendor was very responsive and nice, so FULL POINTS for that. They also threw in a little gift, which I super appreciated. It make me really happy :) And these certainly work and roll between two flat surfaces smoothly! The math and science nerd side of me keeps poking its head up through the strongly arts and language ocean whenever I look at these :D
    Hannah England reviewed Revolved Reuleaux Triangle
    Revolved Reuleaux Triangle
  • Julia Oct 11, 2017
    5 out of 5 stars
    This cuff goes with everything. It is exactly what I was looking for. I love the details and the artistic design. It feels really solid. I can see it is great for women and men, which is very hard to find in jewelry.
    Julia reviewed Diffusion Cuff
    Diffusion Cuff