Examples of 'klein bottle' in a sentence
Meaning of "klein bottle"
A Klein bottle is a mathematical concept that represents a non-orientable surface, often used as an example in the field of topology. It is a closed, self-intersecting surface with no distinguishable inside or outside. The Klein bottle has properties that make it a popular subject for abstract thinking and theoretical discussions in mathematics
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- The closed manifold obtained by identifying the boundary components of the annulus so that the resultant surface is nonorientable.
How to use "klein bottle" in a sentence
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klein bottle
Klein bottle dissection.
This is the largest Klein bottle there is.
The Klein bottle is an example of such a knotted surface.
And a pretty good approximation of a Klein bottle.
A Klein bottle is the connected sum of two projective planes.
This can be represented by a Klein bottle.
A Klein bottle is homeomorphic to the connected sum of two projective planes.
The bottle was called a Klein bottle.
The Klein Bottle is a strange surface.
Paley design is as close as possible to a real Klein bottle.
This is a Klein bottle.
Gluing two projective planes creates the Klein bottle.
That is a Klein bottle.
The most obvious example is provided by the Klein bottle.
Generalizes the fact that the Klein bottle cannot be embedded in R.
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This immersion is useful for visualizing many properties of the Klein bottle.
Compare with Klein bottle.
Other examples of closed manifolds are the torus and the Klein bottle.
A Klein bottle has non-orientable genus two.
On the inside of a Klein bottle.
The Klein bottle immersed in three-dimensional space.
Felix Klein invents the Klein bottle.
A Klein bottle is a non-orientable surface.
Felix Klein first describes the Klein bottle.
It is a non-orientable surface, a Klein bottle that traps the sun in a complex movement.
Construction = = The following square is a fundamental polygon of the Klein bottle.
Nonetheless, there is a way to visualize the Klein bottle as being contained in four dimensions.
In addition, it is possible that the universe is shaped like a Klein bottle.
In fact, it is possible to cut the Klein bottle into a single Möbius strip.
Examples are spaces like the sphere, the torus and the Klein bottle.
In the Klein bottle diagram, a goes round one way and - a goes round the opposite way.
It is possible, however, to construct a Klein bottle in non-Euclidean space.
Thus, the Klein bottle is a closed surface with no distinction between inside and outside.
It is possible to construct a Klein bottle in non-Euclidean space . * TIS.
The solid Klein bottle is the non-orientable version of the solid torus, equivalent to formula 10.
When embedded in Euclidean space, the Klein bottle is one-sided.
That first Klein bottle was made from respectable but low-grade acrylic yarn.
While the Möbius strip can be embedded in three-dimensional Euclidean space R3, the Klein bottle can not.
For example, the Klein bottle is a surface that can not be embedded in three-dimensional Euclidean space.
For surfaces, this space is a Möbius strip ; for 3-manifolds, this is a solid Klein bottle.
A torus and a Klein bottle are compact 2-manifolds or surfaces.
Properties = = Like the Möbius strip, the Klein bottle is a two-dimensional manifold which is not orientable.
The Klein bottle was first described in 1882 by the German mathematician Felix Klein.
Check out these single-sided Klein Bottle Hats ( created by Kleinbottle and Majolo ),.
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Examples of using Klein
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Klein wants them brought in as soon as possible
Ari gold calling for andrew klein
Klein will be scouring the earth for us
Examples of using Bottle
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And bring me a bottle of that medicinal brandy
Bottle continues to empty after complete filling
I have got an uncapped bottle of mouthwash here
