parallelepiped
Sign in to save{| 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.
Article
11 sectionsContents
- Properties
- Volume
- Surface area
- Special cases by symmetry
- Perfect parallelepiped
- Parallelotope <!--'Parallelotope' redirects here-->
- Etymology
- See also
- Notes
- References
- External links
{| 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 |}
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.