Regular octahedron

Regular octahedron
Type	Deltahedron, Platonic solid
Faces	8
Edges	12
Vertices	6
Symmetry group	octahedral symmetry

In geometry, a regular octahedron is a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. Regular octahedra occur in nature as crystal structures. An octahedron, more generally, can be any eight-sided polyhedron; many types of irregular octahedra also exist.

A regular octahedron is the three-dimensional case of the more general concept of a cross-polytope.