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Dual Polyhedra

Some pictures serve as links to a larger picture.

an octahedron and its dual, a smaller cube	octahedron with dual & cube with dual
an octahedron and its dual, a smaller cube	a cube and its dual, a smaller octahedron

Note: other regular polyhedra duals are dodecahedron to icosahedron, and tetrahedron to tetrahedron