hypersphere

See also: hypersphère

English

Alternative forms

• hyper-sphere

Etymology

From hyper- +‎ sphere.

Pronunciation

• Audio (US):

  (file)

Noun

hypersphere (plural hyperspheres)

1. (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.
   • 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.

2. (sports) A zorb; the act of zorbing, entering a zorbing ball, strapping into a harness, and rolling down a hill.

Derived terms

• hyperspherical

Translations

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

• Bashkir: гиперсфера (gipersfera)
• Catalan: hiperesfera f
• Chinese:

  Mandarin: 超球面 (chāoqiúmiàn)

• Czech: nadkoule f, hyperkoule (cs) f, hypersféra f
• French: hypersphère (fr) f
• Italian: ipersfera f
• Kazakh: гиперсфера (gipersfera)
• Kyrgyz: гиперсфера (gipersfera)
• Portuguese: hiperesfera f
• Spanish: hiperesfera (es) f

See also

• hyperball
• n-sphere

Further reading

• “hypersphere”, in OneLook Dictionary Search.
• Weisstein, Eric W. (1999–2024) “Hypersphere”, in MathWorld, Wolfram Research.