10% off your own models with code: INSPIRATION
  Ends 5/25
LEARN MORE

<div id="cookie_notice" class="sw-row sw--padding-2 sw--padding-bottom-1-force sw--text-center sw--bg-grey" > <div class="col-1-2 col-1-1--tab col--no-padding sw--display-inline-block sw--float-none sw--text-left sw--vertical-align__middle"> <p class="col-1-2 col--no-padding small">We use cookies to offer you a better browsing experience. By continuing to use the site you agree to their use. You can find out more about our cookies and read our privacy policy <a href="/legal/privacy-statement" target="_blank">here.</a></p> <div class="col-1-2 col--no-padding sw--text-center"> <div class="col-1-2 col--no-padding sw--display-inline-block sw--float-none"> <a class="btn-white small noty_close col-1-1 col--no-padding" data-sw-set-cookie="euCookie">OK</a> </div> </div> </div> </div>

<div class="sw--display-block sw--text-white sw--bg-dark-gray"> <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 sw--z-index-10"></span> <div class="sw-row"> <div class="sw--position-relative sw--display-block sw--padding-3"> <p class="sw--font-size-16 sw--margin-bottom-2 sw--margin-right-6">Sign up to hear about special promotions</p> <form action="/register/email-signup" class="sw--position-relative" data-confirmation="emailConfirmationModal" data-sw-email-modal-form> <input type="text" class="sw--input-height__medium" style="width:60%;" placeholder="Email address" name="email" /> <input type="hidden" class="" name="location" value="/product/WAR3Q4NYF/klein-bagel-small" /> <input type="hidden" class="" name="confirmation" value="emailConfirmationModal" /> <input type="submit" class="btn-primary sw--margin-left-1" value="Subscribe" /> <div id="emailModalFormError" class="text-error" style="display:none"></div> </form> </div> </div> </div>

Click and drag to rotate
Klein Bagel (small) 3d printed

DIGITAL PREVIEW
Not a Photo

White Natural Versatile Plastic
Klein Bagel (small) 3d printed
Klein Bagel (small) 3d printed

DIGITAL PREVIEW
Not a Photo

Klein Bagel (small)

$16.30
3D printed in white nylon plastic with a matte finish and slight grainy feel.
QTY
All orders are backed by our
All orders are backed by our
Money Back Guarantee.
Product Description
This is the 'bagel' form of a Klein bottle, a 4 dimensional object with a single surface, projected into 3-space as a self-intersecting solid. The 'bagel' form is a figure 8 spun into a torus, and twisted 180 degrees as it turns so that it forms a single surface object. Only every other strip of the surface has been printed, making 6 separate strips. The surface and the strips are 'non-orientable': the normals to the surface are ambiguous, since the surface curves around on itself like a Mobius strip. It is a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down. Therefore when one attempts to thicken the strips for 3D printing, there is no unambiguous inside or outside. This is solved by making the model in 4 pieces, solidifying each separately, then joining them in pairs and fattening them so that the intersection of the strips also has thickness. The model was created in Mathematica, solidified in Blender, and repaired with Microsoft's 'Netfabb in the Cloud'. The parametric formula can be found in Wikipedia under 'Klein Bottle'.
Details
What's in the box:
Klein Bagel (small)
Dimensions:
3.35 x 3.56 x 1.17 cm
Switch to inches
1.32 x 1.4 x 0.46 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.