The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry.

Home Analytic Geometry 3D Solids Platonic Solids Octahedron
See also: Platonic Solids - Regular Polyhedra 
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Octahedron

The regular octahedron is a square dipyramid which consists of eight equilateral triangular faces and is one of the Platonic solids.

For an octahedron with edge length a the height h is

Its volume V is given by

its surface is


The radii of the circumscribed (rc) and inscribed (ri) spheres are

and

Home Analytic Geometry 3D Solids Platonic Solids Octahedron

Last Update: 2010-12-06