hyperplane

English

English Wikipedia has an article on:

hyperplane

Wikipedia

Etymology

From hyper- +‎ plane.

Pronunciation

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Noun

hyperplane (plural hyperplanes)

1. (geometry) 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.)
   • 2020 April 7, Peter Conrad, “Abolish Silicon Valley by Wendy Liu review – rebooting our reality”, in The Guardian‎, archived from the original on 14 June 2025:

     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”.

Related terms

• hypersurface

Translations

an n-dimensional generalization of a plane

Czech: nadrovina f French: hyperplan (fr) m German: Hyperebene (de) f Hungarian: hipersík (hu) Kazakh: гипержазықтық (giperjazyqtyq) Russian: гиперпло́скость (ru) f (giperplóskostʹ)