geometric object, later called "Klein bottle", was first described in 1882 by the German mathematician Felix Klein.What is it?The object of this (or rather, geometric or topological surface) in our three-dimensional world exist simply can not.All the models that are for sale in the gift shops, have a view, distant only gives an idea of what is a Klein bottle.For greater clarity, it is described this way: Imagine a bottle with a very long neck.Then mentally make it two holes, one in the wall, and the second at the bottom.Then bend the neck, insert it into the hole in the wall and bring out through the hole in the bottom.The resulting entity will be four-dimensional projection of the object, which is true Klein bottle in our three-dimensional space.
Description of the Klein bottle language of mathematical terms and formulas will not say anything to the nonprofessional.Many will satisfy this definition: Klein bottle - a non-orientable manifold (or surface), with a range of properties.After the word "property" can build long series consisting of trigonometric functions, numbers, and Greek and Latin letters.But it can only confuse the untrained person, have got an idea of what is the projection of the bottles in three-dimensional space.
Interesting fact: the name "Klein bottle" This object was most likely due to clerical error or an interpreter.The fact that Klein, in his determination to use the word Fläche, that is, "surface" in German.In the "journey" from Germany to other countries that word transformed into a similar writing Flasche (bottle).Then the term returned to their country of origin in the new, modified form, yes and remained so forever.
for many cultural figures (especially science fiction writers) appeared attractive the term "Klein bottle".Its use as an attribute, and sometimes the main "person" was a sign of "intellectual" fiction.Such, for example, the story "The Last Illusionist" from the pen of Bruce Elliot.In the story, an assistant magician crushes with his patron, who did tricks with a four-dimensional Klein bottle.Illusionist was taken to the bottle and remains half submerged in it.According to the author, this bottle can not be broken without damaging the contents.So whether it's actually - no one can say.At least the mathematics, which could possibly answer this question, it is not puzzling, it is irrelevant to science.
Occasionally Klein bottle specially made for promotional purposes bottled wine.However, to make a bottle of glass is technically difficult, it requires glassblower-class.Therefore, it has a relatively high cost and used infrequently.And development of the technology and production of manufacture of such bottles on the flow does not make sense, because it would require to fulfill a technique of filling bottles with liquid (here also has its complexity).And the feeling of strangeness and novelty will be quickly superseded inconvenience ACCIDENTAL wine from a bottle of wine glasses.
