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hypersphere

hypersphere

1 9.9
A round shape like a ball in four or more dimensions
  • noun
  • /ˈhaɪpərˌsfɪr/
  • Specialized
: hiperesfera
  • The formula for calculating the volume of a hypersphere involves higher-dimensional mathematics.

Well, not a dot, I'm sorry, a finite little hypersphere.

Examples

  • He treated the universe as a hypersphere filled with incoherent matter and a time-dependent scalar field.

    Academic text (1999)
  • Anybody can sit around and talk about hyperspheres and universal waves.

    Blog text (23)
  • There is nothing simpler than hyperspheres and bell curves in unlimited dimensions.

    Blog text (23)
  • Hyperspheres and bell curves are interchangeable.

    Blog text (23)
  • We had this sphere hypersphere and then we were basically eliminating modes at the edge of this sphere in Fourier space.

  • Mathematicians study the properties of a hypersphere to understand complex shapes in four-dimensional space.

  • In advanced geometry, a hypersphere is often used to illustrate concepts that extend beyond three dimensions.

Surface Forms

hypersphere singular
hyperspheres plural

Morphology

hypersphere = sphere (semi-transparent) = hyper + sphere

The word is formed transparently from hyper- + sphere, but its mathematical sense is specialized and may not be fully predictable for learners.

Etymology

The word hypersphere comes from the prefix hyper- meaning 'beyond', as in hyperactive, and sphere meaning 'ball' or 'round shape'. So a hypersphere is like a 'ball' that goes beyond normal space into more than three dimensions.