Zonohedra

A) Duals to quasi-regular polyhedra

The first element of each triple is a regular or quasi-regular polyhedron. The second is its dual, which in each case is a zonohedron. The third is their compound.
• octahedron
• cube
• compound of octahedron and dual

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• cuboctahedron
• rhombic dodecahedron
• compound of cuboctahedron and dual

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• icosidodecahedron
• rhombic triacontahedron
• compound of icosidodecahedron and dual

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• dodecadodecahedron
• medial rhombic triacontahedron
• compound of dodecadodecahedron and dual

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• great icosidodecahedron
• great rhombic triacontahedron
• compound of great icosidodecahedron and dual

B) Parallelepipeds

• "random parallelepiped"
• random rhombic parallelepiped
• "pointy-shaped" rhombic parallelepiped
• "flat-shaped" rhombic parallelepiped
• right parallelepiped.
• cube.

C) Other Zonohedra

• "random" zonohedron with 42 faces
• rhombic enneacontahedron
• 20-zone polar zonohedron
• zonohedrifiation of the truncated tetrahedron, 12 zones
• zonohedrification of the truncated cube, 12 zones
• zonohedrification of the truncated octahedron, 12 zones
• zonohedrification of the rhombicuboctahedron, 12 zones
• zonohedrification of the truncated cuboctahedron, 24 zones
• zonohedrification of the snub cube, 24-zones
• zonohedrification of the truncated icosahedron, 30 zones
• zonohedrification of the truncated dodecahedron, 30 zones
• zonohedrification of the rhombicoidodecahedron, 30 zones
• 7-zone truncated rhombic dodecahedron
• 10 zoner, based on 2-fold and 3-fold octahedral axes
• 13 zoner, based on all the octahedral symmetry axes
• 16 zoner, based on 3-fold and 5-fold icosahedral axes
• 21 zoner, based on 2-fold and 5-fold icosahedral axes
• 25 zoner, based on 2-fold and 3-fold icosahedral axes
• 31 zoner, based on all the icosahedral symmetry axes
• 36 zoner, based on three mutually orthogonal 24-gons

Virtual Polyhedra, (c) 1996,George W. Hart