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Notes on a Klein Bottle that Opens Beers The problem of beer That it is within a bottle, i.e. a boundaryless compact 2-manifold homeomorphic to the sphere. Since beer bottles are not (usually) pathological or "wild" spheres, but rather smooth manifolds, they separate 3-space into two unconnected regions: one inside, containing beer, the other outside, containing you. This state must not remain. A proposed solution Clearly the elegant course is to introduce a non-orientable manifold, which has one side and does not divide 3-space, into the system. The steel Klein bottle1 shown is an example of this class. When juxtaposed with the closed manifold described above, it acts to disrupt the continuity thereof, canceling the outdated paradigm of distinction between interior and exterior. This enables interaction between the beer and the self. In summary You need one.
Klein Bottle Opener metal print, 3" tall - $78
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