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• N-sphere abstract "In mathematics, the n-sphere is the generalization of the 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 (n + 1)-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 (n + 1)-space.In particular:a 0-sphere is the pair of points at the ends of a (one-dimensional) line segment,a 1-sphere is the circle, which is the one-dimensional circumference of a (two-dimensional) disk in the plane,a 2-sphere is the two-dimensional surface of a (three-dimensional) ball in three-dimensional space.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 Sn. The unit n-sphere is often referred to as the n-sphere.An n-sphere is the surface or boundary of an (n + 1)-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 (inductively) by forming the suspension of an (n − 1)-sphere.".
• N-sphere thumbnail Sphere_wireframe.svg?width=300.
• N-sphere wikiPageExternalLink thomas_briggs.
• N-sphere wikiPageExternalLink eg00.
• N-sphere wikiPageID "39782".
• N-sphere wikiPageRevisionID "605501233".
• N-sphere hasPhotoCollection N-sphere.
• N-sphere title "Hypersphere".
• N-sphere urlname "Hypersphere".
• N-sphere subject Category:Multi-dimensional_geometry.
• N-sphere subject Category:Spheres.
• N-sphere type Abstraction100002137.
• N-sphere type Attribute100024264.
• N-sphere type Environment113934596.
• N-sphere type Situation113927383.
• N-sphere type Sphere114514039.
• N-sphere type Spheres.
• N-sphere type State100024720.
• N-sphere comment "In mathematics, the n-sphere is the generalization of the 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 (n + 1)-dimensional Euclidean space which are at distance r from a central point, where the radius r may be any positive real number.".
• N-sphere label "Hipersfera".
• N-sphere label "Ipersfera".
• N-sphere label "N-esfera".
• N-sphere label "N-sphere".
• N-sphere label "N-sphère".
• N-sphere label "N维球面".
• N-sphere label "Sfeer (wiskunde)".
• N-sphere label "Sphäre (Mathematik)".
• N-sphere label "Гиперсфера".
• N-sphere label "كرة ذات بعد نوني".
• N-sphere sameAs Hyperkoule.
• N-sphere sameAs Sphäre_(Mathematik).
• N-sphere sameAs N-esfera.
• N-sphere sameAs N-sphère.
• N-sphere sameAs Ipersfera.
• N-sphere sameAs 초구.
• N-sphere sameAs Sfeer_(wiskunde).
• N-sphere sameAs Hipersfera.
• N-sphere sameAs m.09xmb.
• N-sphere sameAs Q306610.
• N-sphere sameAs Q306610.
• N-sphere sameAs N-sphere.
• N-sphere wasDerivedFrom N-sphere?oldid=605501233.
• N-sphere depiction Sphere_wireframe.svg.
• N-sphere isPrimaryTopicOf N-sphere.