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Octahedral number
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===Cubes=== If two tetrahedra are attached to opposite faces of an octahedron, the result is a [[rhombohedron]].<ref>{{citation|first=John G.|last=Burke|title=Origins of the science of crystals|publisher=University of California Press|year=1966|page=88|url=https://books.google.com/books?id=qvxPbZtJu8QC&pg=PA88}}.</ref> The number of close-packed spheres in the rhombohedron is a [[Cube (algebra)|cube]], justifying the equation :<math>O_n+2T_{n-1}=n^3.</math>
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