Stellation is the process of constructing polyhedra by extending the facial planes past the polyhedron
edges of a given polyhedron until they intersect
(Wenninger 1989). The set of all possible polyhedron
edges of the stellations can be obtained by finding all intersections on the
facial planes. Since the number and variety of intersections can become unmanageable
for complicated polyhedra, additional rules (e.g., Miller's
rules) are sometimes added to constrain allowable stellations.

There are a number of subtlties and ambiguities about the stellation process. As noted by Cromwell (1997, pp. 263-264), "The stellation process may seem
clear enough, but there is some ambiguity about how we should interpret the result.
For example, is the great dodecahedron composed
of twelve regular pentagons, or 60 isosceles triangles....
This freedom on interpretation means that there are complementary ways to think about
the process of face-stellation."

Archimedean stellations have received much less attention than Platonic stellations. However, there are three rhombic dodecahedron
stellations (Wells 1991, pp. 216-217).

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D. The
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