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Klein bottle
A hand-blown Klein bottle, by Clifford Stoll.
Klein bottle
topology
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External Websites
- Lehigh University - An n-Dimensional Klein Bottle
- People at EECS at UC Berkeley - On the number of Klein bottle types
- Cornell University - Department of Mathematics - The Klein Bottle and a Mystery Surface
- Wolfram MathWorld - Klein Bottle
- American Mathematical Society - The Klein Bottle: Variations on a Theme
- Related Topics:
- topology
Klein bottle, topological space, named for the German mathematician Felix Klein, obtained by identifying two ends of a cylindrical surface in the direction opposite that is necessary to obtain a torus. The surface is not constructible in three-dimensional Euclidean space but has interesting properties, such as being one-sided, like the Möbius strip (q.v.); being closed, yet having no “inside” like a torus or a sphere; and resulting in two Möbius strips if properly cut in two.