hypersphere

American  

[hahy-per-sfeer, hahy-per-sfeer] / ˈhaɪ pərˌsfɪər, ˌhaɪ pərˈsfɪər /

noun

Mathematics.

1. the generalization of a sphere to more than three dimensions.

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Other Word Forms

• hyperspherical adjective

Etymology

Origin of hypersphere

First recorded in 1965–70; hyper- + sphere

Example Sentences

“Dante has invented a new topological space, the 3-sphere,” or hypersphere, mathematician Mark Peterson noted in an analysis.

From Washington Post • May 24, 2019

The hypersphere is curved, so it must close back on itself and therefore be finite�but only if the curvature is positive.

From Time Magazine Archive

The Relativistic picture of the cosmos is a four-dimensional sphere�or, more exactly, a "hypersphere," since an ordinary sphere can have only three dimensions.

From Time Magazine Archive

Increase all dimensions by one, and you have the situation that may apply to us: the universe as a four-dimensional hypersphere with no center and no edge, and nothing beyond.

From "Cosmos" by Carl Sagan

Sometime after the expansion begins, galaxies condense and are carried outward on the surface of the hypersphere.

From "Cosmos" by Carl Sagan