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Up: Math Home The Klein Bottle The Klein bottle is the non-orientable surface with Euler characteristic equal to 0. A Klein bottle can be made from a rectangular piece of the plane by identifying the top and bottom edges using the same orientation, but identifying the left and right edges with opposite orientation (as in the formation of a M bius band). The first step forms a tube, but the ...
www.math.rochester.edu/misc/klein-bottle.html
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