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Klein Bottle Mug

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3D model description

Starting from a common visualization of a Klein bottle - turned upside down - it's possible to see how the surfaces can be deformed to make a mug one can actually drink from - even though you'd really be drinking from the "outside" surface of the object. But, for a Klein bottle, there is only one surface anyway - "outside" and "inside" are really the same! Follow through the hollow handle to the "inside". For more info, and the source of my inspiration see Note that this is a 3D model of what's really a 4D object.

3D printing settings

If you have very good bridging with your printer, these models can be printed in one piece. Personally, I didn't have the nerve to do that, so I separated each one into bottom and top chambers that can be separately printed and glued together.

There's an advantage to two sections. For the "equal chambers" model, you can add potpourri to the bottom before gluing, allowing for a treat for both the sense of taste and that of smell, as the scent travels out through the hollow handle. I hope to add dried rose buds to one for a bit of "wine and roses" later today! This would prove you've got a 3D (so, pseudo) Klein bottle mug even when printed in an opaque color.

The other model, when filled with a liquid in the bottom chamber (after gluing - I used a food syringe to overcome the airlock) acts like a barometer. And, the top can hold pens & pencils without them getting wet.

Useful applications for a 4D object printed in 3D!

CAUTION: Quick prints may require coating with a food safe acrylic varnish to prevent leaks.

  • 3D model format: STL





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