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A two-dimensional representation of the Klein bottle immersed in three-dimensional space. In mathematics, the Klein bottle (/ ˈ k l aɪ n /) is an example of a non-orientable surface; that is, informally, a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down.
Bottle flipping is the act of throwing a plastic bottle, typically partially full of liquid, into the air so that it rotates in an attempt to land it upright on its base or cap. It became an international trend in the summer of 2016, with numerous videos of people attempting the activity being posted online.
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The bottle is partly filled with water and sealed. The bottle is then pressurized with a gas, usually air compressed from a bicycle pump, air compressor, or cylinder up to 125 psi, but sometimes CO 2 or nitrogen from a cylinder are used. Launch of a bottle without nose cone or fins. Launching a water rocket.
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In mathematics, a solid Klein bottle is a three-dimensional topological space (a 3-manifold) whose boundary is the Klein bottle. [ 1 ] It is homeomorphic to the quotient space obtained by gluing the top disk of a cylinder D 2 × I {\displaystyle \scriptstyle D^{2}\times I} to the bottom disk by a reflection across a diameter of the disk.
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