Difference between revisions of "Octahedron"
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| − | An '''octahedron''' is | + | An '''octahedron''' is any [[polyhedron]] with eight faces. The term is most frequently to refer to a polyhedron with eight [[triangular]] faces, with three meeting at each [[vertex]]. The [[regular octahedron]] has eight [[equilateral triangle]] faces and is one of the five [[Platonic solid]]s. It has six vertices, twelve edges, and is dual to the [[cube (geometry) | cube]]. |
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| + | The regular octahedron can be decomposed into two [[square (geometry) | square]] [[pyramid]]s by a plane cut [[perpendicular]] to the [[space diagonal]] joining two opposite vertices. | ||
==See also== | ==See also== | ||
* [[Polyhedron]] | * [[Polyhedron]] | ||
Revision as of 18:22, 11 July 2007
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An octahedron is any polyhedron with eight faces. The term is most frequently to refer to a polyhedron with eight triangular faces, with three meeting at each vertex. The regular octahedron has eight equilateral triangle faces and is one of the five Platonic solids. It has six vertices, twelve edges, and is dual to the cube.
The regular octahedron can be decomposed into two square pyramids by a plane cut perpendicular to the space diagonal joining two opposite vertices.
