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Navigation menu Personal tools Not logged in Talk Contributions Create account Log in. It is a standard example of a surface that is not orientable. Its square is the isometry h z: This page was last edited on 13 June , at A much more geometric embedding begins with a minimal Klein bottle immersed in the 3-sphere, as discovered by Blaine Lawson. In other projects Wikimedia Commons. Views Read Edit View history.
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Möbius strip - Wikipedia


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But there is no metric on the space of lines in the plane that is invariant under the action of this group of homeomorphisms. For example, a strip with three half-twists, when divided lengthwise, becomes a twisted strip tied in a trefoil knot. The real projective plane, like the Klein bottle, cannot be embedded in three-dimensions without self-intersections.
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