Klein Bottle

THE CLOSEST YOU’LL GET TO A 4D OBJECT IN OUR UNIVERSE A Klein Bottle© is a 4-dimensional shape that has neither an inside nor outside. Like a Möbius strip, if you trace a path along its surface, you will travel on both sides of the surface before returning to the starting point. In the mathematical field of topology, it is a 3D immersion of a closed, one-sided, non-orientable, boundary-free manifold. A true Klein Bottle does not intersect itself, so it can only fully exist in 4 dimensions. But in the same way a 2D shadow is cast by a 3D object, this can be considered the 3D “shadow” of a 4D Klein Bottle—the closest we can get in our universe. A perfect gift for a math or science enthusiast. Handblown with laboratory-grade borosilicate glass. Height: Standard: 11 cm (4.3")Large: 15.5 cm (6.1") NEWMassive: 19.5 cm (7.7") NEW © The Klein Bottle shape is the intellectual property of Cliff Stoll, who has generously granted us permission to use it.

Klein Bottle

THE CLOSEST YOU’LL GET TO A 4D OBJECT IN OUR UNIVERSE

A Klein Bottle© is a 4-dimensional shape that has neither an inside nor outside.

Like a Möbius strip, if you trace a path along its surface, you will travel on both sides of the surface before returning to the starting point.

In the mathematical field of topology, it is a 3D immersion of a closed, one-sided, non-orientable, boundary-free manifold.

A true Klein Bottle does not intersect itself, so it can only fully exist in 4 dimensions. But in the same way a 2D shadow is cast by a 3D object, this can be considered the 3D “shadow” of a 4D Klein Bottle—the closest we can get in our universe.

A perfect gift for a math or science enthusiast. Handblown with laboratory-grade borosilicate glass.


Height:
Standard: 11 cm (4.3")
Large: 15.5 cm (6.1") NEW
Massive: 19.5 cm (7.7") NEW

 

© The Klein Bottle shape is the intellectual property of Cliff Stoll, who has generously granted us permission to use it.
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