Klein bottle

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Klein bottle

A Klein bottle immersed in three-dimensional space.

Calque of German Kleinsche Flasche, named after German mathematician Felix Klein (1849–1925), who first described such a surface in 1882.

Klein bottle (plural Klein bottles)

(topology) The closed manifold obtained by identifying the boundary components of the annulus so that the resultant surface is nonorientable.
- 1981, William Irwin Thompson, The Time Falling Bodies Take to Light: Mythology, Sexuality and the Origins of Culture, London: Rider/Hutchinson & Co., page 222:
  At this level Atman and Brahman are like a Klein bottle or a Möbius strip: there is no edge where one can say that this is Atman, but this is Brahman.
A physical bottle, usually of blown glass, made to resemble the topological shape.

closed surface