The Mobius strip (1790-1868) is one of the most famous and easily understood geometric paradoxes. It simply involves joining the two ends of a strip together after first twisting one end through 180 degrees. This produces a 'non-orientable' surface. In moving along it, one moves from one surface of the strip to the other without any transition.
(c)Konrad Polthier, T-U Berlin"
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