What does n-sphere mean?

Definitions for n-sphere

Here are all the possible meanings and translations of the word n-sphere.


  1. n-sphere

    In mathematics, an n-sphere is a generalization of the surface of an ordinary sphere to a n-dimensional space. For any natural number n, an n-sphere of radius r is defined as the set of points in-dimensional Euclidean space which are at distance r from a central point, where the radius r may be any positive real number. Thus, the n-sphere centred at the origin is defined by: It is an n-dimensional manifold in Euclidean-space. In particular:: Spheres of dimension n > 2 are sometimes called hyperspheres, with 3-spheres sometimes known as glomes. The n-sphere of unit radius centered at the origin is called the unit n-sphere, denoted S. The unit n-sphere is often referred to as the n-sphere. An n-sphere is the surface or boundary of an-dimensional ball, and is an n-dimensional manifold. For n ≥ 2, the n-spheres are the simply connected n-dimensional manifolds of constant, positive curvature. The n-spheres admit several other topological descriptions: for example, they can be constructed by gluing two n-dimensional Euclidean spaces together, by identifying the boundary of an n-cube with a point, or by forming the suspension of an-sphere.


  1. Chaldean Numerology

    The numerical value of n-sphere in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of n-sphere in Pythagorean Numerology is: 4

Examples of n-sphere in a Sentence

  1. Winston Churchill:

    The power of man has grown in every sphere, except over himself.

  2. Marcus Noland:

    In the economics sphere, the regime seems to lack any real strategic vision.

  3. Henry Ward Beecher:

    Repentance may begin instantly, but reformation often requires a sphere of years.

  4. State Tony Blinken:

    The U.S. and Qatar are partners economically just as we are in the security sphere.

  5. David Abrutyn:

    Everybody loves a comeback story, and Aqua Sphere could stand to benefit considerably.

Images & Illustrations of n-sphere

  1. n-spheren-spheren-sphere


Find a translation for the n-sphere definition in other languages:

Select another language:

Discuss these n-sphere definitions with the community:

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:     


Use the citation below to add this definition to your bibliography:


"n-sphere." Definitions.net. STANDS4 LLC, 2018. Web. 18 Nov. 2018. <https://www.definitions.net/definition/n-sphere>.

Are we missing a good definition for n-sphere? Don't keep it to yourself...

Free, no signup required:

Add to Chrome

Get instant definitions for any word that hits you anywhere on the web!

Free, no signup required:

Add to Firefox

Get instant definitions for any word that hits you anywhere on the web!

Nearby & related entries:

Alternative searches for n-sphere:

Thanks for your vote! We truly appreciate your support.