Definition of Klein bottle in English:

Klein bottle


  • A closed surface with only one side, formed by passing one end of a tube through the side of the tube and joining it to the other end.

    • ‘Gluing the top of the Möbius band to the bottom would give you a compact Klein bottle, a complicated shape that is impossible to draw properly in three dimensions.’
    • ‘The Klein bottle is a very precise mathematical construct.’
    • ‘I've never summoned up enough nerve to ask Martin if he chose the house for its address or for its topology, which I suspect on close examination would prove similar to a Klein bottle.’


1940s: named after Felix Klein (1849–1925), the German mathematician who first described it.


Klein bottle