Verse and Dimensions Wikia
Register
Advertisement
Verse and Dimensions Wikia

For (n + 1)-dimensional Euclidean space the hypersphere (n-sphere) of radius r and center c is the set of all points that are at the same distance r from point c:

where is euclidean metric for (n+1)-dimensional space

Examples:

  • For 2-dimensional Euclidean space the hypersphere is circle (1-sphere),
  • For 3-dimensional Euclidean space the hypersphere is sphere (2-sphere).
  • For 4-dimensional Euclidean space the hypersphere is glome (3-sphere).

See Also[]

Dimensionality Negative One Zero One Two Three Four Five Six Seven Eight Nine Ten ... Aleph null
Hyperbolic space

Hyperbolic plane

Hyperbolic realm

Hyperbolic flune

Hyperbolic pentrealm

Hyperbolic hexealm

Hyperbolic heptealm

Hyperbolic octealm

Hyperbolic ennealm

Hyperbolic decealm

... Hyperbolic omegealm

Euclidean space

Null polytope

Point

Euclidean line

Euclidean plane

Euclidean realm

Euclidean flune

Euclidean pentrealm

Euclidean hexealm

Euclidean heptealm

Euclidean octealm

Euclidean ennealm

Euclidean decealm

... Euclidean omegealm

Hypersphere

Point pair

Circle

Sphere

Glome

Tetrasphere

Pentasphere

Hexasphere

Heptasphere

Octasphere

Enneasphere

Dekasphere

... Omegasphere

Advertisement