klein bottle

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Definitions from WordNet

Noun klein bottle has 1 sense

Klein bottle - a closed surface with only one side; formed by passing one end of a tube through the side of the tube and joining it with the other end
--₁ is a kind of surface

Definitions from the Web

Klein Bottle

A Klein bottle is a topological figure that exhibits only one surface without any inside or outside. It is a non-orientable object that can be constructed in four dimensions but can be visualized in three dimensions by self-intersecting its surface. The Klein bottle is a fascinating mathematical object that has found applications in various fields, including topology, geometry, and physics.

Sample Sentences:

1. The concept of a Klein bottle was introduced by the German mathematician Felix Klein in the late 19th century.

2. Despite its peculiar properties, the Klein bottle is widely studied and utilized in mathematical research.

3. One of the interesting characteristics of a Klein bottle is that it has no distinguishable "inside" or "outside."

4. The surface of a Klein bottle intersects with itself, creating a unique and intricate pattern.

5. The Klein bottle is a popular topic among math enthusiasts and scholars due to its intricate topology.