parallelepiped

Also known as rhomboid

{| class=wikitable align="right" !bgcolor=#e7dcc3 colspan=2|Parallelepiped |- |align=center colspan=2|240px|Parallelepiped |- |bgcolor=#e7dcc3|Type||PrismPlesiohedron |- |bgcolor=#e7dcc3|Faces||6 parallelograms |- |bgcolor=#e7dcc3|Edges||12 |- |bgcolor=#e7dcc3|Vertices||8 |- |bgcolor=#e7dcc3|Symmetry group||Ci, [2+,2+], (×), order 2 |- |bgcolor=#e7dcc3|Properties||convex, zonohedron |}

AI overview

A parallelepiped is a three-dimensional solid made up of six parallelogram faces, with 12 edges and 8 vertices. It's a type of prism that matters in geometry and mathematics because it's a fundamental shape for understanding spatial volumes and transformations.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Image: Parallelepiped 2013-11-29.svg

Show 1 more fact

Commons category: Parallelepipeds

Sources (3)

via Wikidata · CC0

~12 min read

Article

11 sections

Contents

Properties
Volume
Surface area
Special cases by symmetry
Perfect parallelepiped
Parallelotope
Etymology
See also
Notes
References
External links

In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning). By analogy, it relates to a parallelogram just as a cube relates to a square.