Flat (geometry)

id: flat-geometry-177-13840157
title: Flat (geometry)
text: In geometry, a flat is an affine subspace, i.e. a subset of an affine space that is itself an affine space. Particularly, in the case the parent space is Euclidean, a flat is a Euclidean subspace which inherits the notion of distance from its parent space. In an n-dimensional space, there are k-flats of every dimension k from 0 to n; flats one dimension lower than the parent space, (n − 1)-flats, are called hyperplanes. The flats in a plane are points, lines, and the plane itself; the flats in t
brand slug: wiki
category slug: encyclopedia
description: Affine subspace of a Euclidean space
original url: https://en.wikipedia.org/wiki/Flat_(geometry)
date created: 2007-08-29T17:10:31Z
date modified: 2024-09-04T17:08:06Z
main entity: {"identifier":"Q2024397","url":"https://www.wikidata.org/entity/Q2024397"}
image:
fields total: 13
integrity: 15

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