Dictionary

hyperplane en · NOUN

Pronunciation

• (US) audio

Etymology

Etymology tree Proto-Indo-European *úp Proto-Indo-European *-er Proto-Indo-European *upér Proto-Hellenic *hupér Ancient Greek ῠ̔πέρ (hŭpér) Ancient Greek ῠ̔περ- (hŭper-)der. English hyper- English plane English hyperplane From hyper- + plane.

Meanings

1. 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.)
   • 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:

Forms

Relateds

hypersurface

Translations (7)

cs nadrovina (an n-dimensional generalization of a plane) · ru гиперпло́скость (an n-dimensional generalization of a plane) · de Hyperebene (an n-dimensional generalization of a plane) · fr hyperplan (an n-dimensional generalization of a plane) · kk гипержазықтық (an n-dimensional generalization of a plane) · pl hiperpłaszczyzna (an n-dimensional generalization of a plane) · hu hipersík (an n-dimensional generalization of a plane)