Wikipedia
In mathematics, the Klein bottle is an example of a non-orientable surface; it is a two-dimensional manifold against which a system for determining a normal vector cannot be consistently defined. Informally, it is a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down. Other related non-orientable objects include the Möbius strip and the real projective plane. Whereas a Möbius strip is a surface with boundary, a Klein bottle has no boundary (for comparison, a sphere is an orientable surface with no boundary).
The Klein bottle was first described in 1882 by the German mathematician Felix Klein. It may have been originally named the Kleinsche Fläche ("Klein surface") and then misinterpreted as Kleinsche Flasche ("Klein bottle"), which ultimately may have led to the adoption of this term in the German language as well.
Usage examples of "klein bottle".
Advanced as they are, the Metamartians never happened to make this particular model of the Klein bottle.
Jubal, the interior of the Critics Lounge is somewhat like a Klein bottle, so I hear-I've never been in it.
Jubal, the interior of the Critics Lounge is somewhat like a Klein bottle, so I hear - I've never been in it.
Jubal, the interior of the Critics Lounge is somewhat like a Klein bottle, so I hear -- I've never been in it.
My imagination pictured the unbelievable holocaust within that shell of collapsed matter and the Klein bottle forces, that made the core of a star millions of times the mass of our sun into a tiny rent in the fabric of a universe.
Project Selene appeared to have been decanted into a Klein bottle.
It was a Klein bottle running the inside of a Mobius strip balanced on the head of a Schwarzchild Discontinuity.
It didn't look impressive, an old flask of hardbaked clay with its hollow handle bent over and returning insidemerely a Klein bottle, with Solomon's seal in red wax at the mouth.
It didn't look impressive, an old flask of hard-baked clay with its hollow handle bent over and returning inside-merely a Klein bottle, with Solomon's seal in red wax at the mouth.
At a meticulously calculated moment, she dropped from highspace in a burst of blue-shifted photons and a crawling, twisting effect as local space momentarily assumed the topological characteristics of a Klein bottle.
Even her voice was changing, some kind of acoustic sampling that mimicked a female larynx evolving into a helix, or a Klein bottle.
The shiptree, sensing light and nutrients like a flavor on its hull, and its birdcage companion, the alien creature in a multiplicity of bodies that felt space as the twisted, tessered outline of a Klein bottle groped by hand in a pitch-black room.