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[[[> IMG:240px-Klein_bottle.svg.png ]]] The Klein bottle was discovered in 1882 by Felix Klein and since then has joined the gallery of popular mathematical shapes. The bottle is a closed, one-sided surface with no edges, neither an inside nor outside. Cut it in half the right way and you get two Möbius bands (see Mobius band) ---- * Felix Klein supervised the PhD of William Edward Story ** who supervised the PhD of Solomon Lefschetz *** who supervised the PhD of Shaun Wylie **** who supervised the PhD of Frank Adams ***** who supervised the PhD of Bela Bollobas ****** who supervised the PhD of Colin Wright