hyperplane
noun
hyperplane is a noun meaning “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…” (English Wiktionary, September 2026). It is spelled H-Y-P-E-R-P-L-A-N-E, and it appears about once in every 12 million words in written English (wordfreq, 2021 data). The plural of hyperplane is hyperplanes.
What does hyperplane mean?
noun
- 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.)
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).
How do you pronounce hyperplane?
- US
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract). Recordings: LL-Q1860_(eng)-Flame,_not_lame-hyperplane.wav, Wikimedia Commons (author and licence on each file's page).
Forms of hyperplane
- hyperplanes plural
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).
How common is hyperplane?
Hyperplane appears about once in every 12 million words in written English, the 103,949th most frequent word form in the list.
Source: written frequency: wordfreq 3.1 (a 2021 snapshot of Wikipedia, subtitles, news, books, web text and social media).
Hyperplane in Spanish, French, German and Portuguese
In the sense an n-dimensional generalization of a plane:
| Language | Words |
|---|---|
| French | hyperplan |
| German | Hyperebene |
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract). Translations are Wiktionary's, by sense; a linked word has its own PlainSpell page.
Where does hyperplane come from?
From hyper- + plane.
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).