hyperplane

H4Y4P3E1R1P3L1A1N1E1

noun

An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)

UncommonScrabble 20

Meanings

nounhyperplane (plural hyperplanes)

plural hyperplanes

  1. geometryAn n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)
    1 more example

    We now have good reason to question the pursuits of the vaunted innovators with whom Liu consorted in California – the blissed-out cultists at Google, whose only worry is over “the wrong kind of sparkling water in the microkitchens”, or the manic experts who specialise in “envisioning hyperplanes in n-dimensional space”.

    2020 April 7, Peter Conrad, “Abolish Silicon Valley by Wendy Liu review – rebooting our reality”, in The Guardian, archived from the original on 14 Jun 2025

Origin

  1. Proto-Indo-European*úp
  2. Proto-Indo-European*upér
  3. Proto-Hellenic*hupér
  4. Ancient Greekῠ̔πέρ (hŭpér)
  5. Ancient Greekῠ̔περ- (hŭper-)
  6. Englishhyper-
  7. Englishplane
  8. Englishhyperplane

From hyper- + plane.

Full word history & related roots →

Translations

Czech nadrovina
  • nadrovinaan n-dimensional generalization of a plane
French hyperplan
  • hyperplanan n-dimensional generalization of a plane
German Hyperebene
  • Hyperebenean n-dimensional generalization of a plane
Hungarian hipersík
  • hipersíkan n-dimensional generalization of a plane
Polish hiperpłaszczyzna
  • hiperpłaszczyznaan n-dimensional generalization of a plane
Russian гиперпло́скость
  • гиперпло́скость (giperplóskostʹ)an n-dimensional generalization of a plane
Cite this entry
APA

hyperplane. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/hyperplane

MLA

“hyperplane.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/hyperplane. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “hyperplane,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/hyperplane.

Source: hyperplane on Wiktionary, CC BY-SA 4.0.