An octahedron is a polyhedron with eight faces. The regular octahedron has six vertices, twelve equal edges and eight equilateral triangular faces. One realization has vertices ; two vertices are adjacent exactly when they are not an opposite pair. Its edge graph is the octahedral graph.
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An octahedron is a type of polyhedron that consists of eight triangular faces. It is one of the five Platonic solids, which are convex polyhedra with faces that are all congruent, regular polygons. The regular octahedron has 12 edges and 6 vertices. In a regular octahedron, each vertex is where four triangular faces meet, and the dihedral angle between two adjacent faces is approximately 109.47 degrees.