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Octahedron
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{{Short description|Polyhedron with eight triangular faces}} {{distinguish|Octahedron (album){{!}}''Octahedron'' (album)}} {{Use dmy dates|date=January 2020}} {{split|date=August 2024|Square bipyramid|discuss=Talk:Octahedron#Create a square bipyramid or regular octahedron article}} In [[geometry]], an '''octahedron''' ({{plural form}}: '''octahedra''' or '''octahedrons''') is a [[polyhedron]] with eight faces. One special case is the ''regular octahedron'', a [[Platonic solid]] composed of eight [[equilateral triangle]]s, four of which meet at each vertex. Regular octahedra occur in nature as [[crystal]] structures. Many types of irregular octahedra also exist, including both [[convex set|convex]] and non-convex shapes. A regular octahedron is the three-dimensional case of the more general concept of a [[cross-polytope]].
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