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Here is a compound of the
cube with its dual.
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Multiple cubes can be arranged in an intersecting manner to form
various compounds. Here is one consisting of 3 intersecting cubes.
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Here is another compound consisting of 4 intersecting cubes.
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Here's the best-known cube compound, consisting of 5 intersecting cubes.
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The cube has no stellations
but it does have one fully symmetric
faceting, shown here.
You can see that it has the same vertices as a cube. This faceting is
also a compound of two tetrahedra and a
stellation of the octahedron.
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The cube also has subsymmetric
facetings, meaning they have
less symmetry than the cube itself. Here is an example.
Again, you can see that it has the same vertices as a cube.
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