Share this entry

Share this page

Klein bottle

Line breaks: Klein bot¦tle
Pronunciation: /klʌɪn
 
/

Definition of Klein bottle in English:

noun

Mathematics
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.
Example sentences
  • 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.

Origin

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

Definition of Klein bottle in:

Share this entry

Share this page

 

What do you find interesting about this word or phrase?

Comments that don't adhere to our Community Guidelines may be moderated or removed.

Get more from Oxford Dictionaries

Subscribe to remove ads and access premium resources

Word of the day raconteur
Pronunciation: ˌrakˌänˈtər
noun
a person who tells anecdotes skillfully and amusingly…