| 释义 |
Klein bottle|klaɪn-|
[Named after Felix Klein (1849–1925), Ger. mathematician.]
A closed non-orientable surface that can be represented in three dimensions by passing the neck of a bottle through its side and joining its end to a hole in the base.
1941Courant & Robbins What is Math.? v. 262 Another interesting one-sided surface is the ‘Klein bottle’. 1950Astounding Sci. Fiction Dec. 75/2 ‘The Möbius band’, Turpelo said, ‘has unusual properties because it has a singularity. The Klein bottle, with two singularities, manages to be inside of itself.’ 1965H. Eves Survey of Geom. II. xv. 357 The surface is homeomorphic to a sphere with two crosscaps, and is called a Klein bottle, after Felix Klein who first called attention to it in 1882. Ibid., Show that a Klein bottle can, by one cut, be converted into a disc and a Möbius strip. |