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Definition: octahedron (plural octahedra) from The Penguin Dictionary of Mathematics

A polyhedron that has eight faces. A regular octahedron, in which all the faces are equilateral triangles, is one of the five regular polyhedra.


Summary Article: octahedron, regular from The Hutchinson Unabridged Encyclopedia with Atlas and Weather Guide

Regular solid with eight faces, each of which is an equilateral triangle. It is one of the five regular polyhedra or Platonic solids. The figure made by joining the midpoints of the faces is a perfect cube and the vertices of the octahedron are themselves the midpoints of the faces of a surrounding cube. For this reason, the cube and the octahedron are called dual solids.

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octahedron, regular

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