hypersphere

See also: hypersphère

English

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hypersphere

Wikipedia

From hyper- +‎ sphere.

hypersphere (plural hyperspheres)

(geometry) The set of all points in a given hyperspace that are at a given distance from a given point; a generalization of a sphere in four or more dimensions.
- 2013 March 19, Greg Bear, String 25, in Halo: Silentium (Forerunner Saga; 3), New York: Tor, →ISBN, page 211:
  The timing and location of these battles have not been established. “Sphere” in this context is a hypersphere made up of complexes of two and three-D surfaces, or membranes, shortened in this translation to “branes,” extending into higher dimensions that combine vectors of transit, but also scalar tactical probabilities—a difficult concept to grasp, but essential to understanding Forerunner warfare.
- 2014, Donald W. Blackett, Elementary Topology: A Combinatorial and Algebraic Approach, Academic Press, →ISBN, page 198:
  To prove that the hypersphere is a manifold we wish to divide it into polyhedral solids.
(sports) A zorb; the act of zorbing, entering a zorbing ball, strapping into a harness, and rolling down a hill.

the points of a hyperspace at the same distance from a given point