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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.


Other Word Forms

Etymology

Origin of hypersphere

First recorded in 1965–70; hyper- + sphere

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

“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 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

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 hypersphere is expanding from a point, like a four-dimensional balloon being inflated, creating in every instant more space in the universe.

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

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