Klein bottle

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)

1. (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.

2. A physical bottle, usually of blown glass, made to resemble the topological shape.