Stellation is the process of constructing polyhedra by extending the facial planes past the polyhedron edges of a given polyhedron until they intersect. 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 are sometimes added to constrain allowable stellations. ~ Wolfram MathWorld

[WolframCDF source=”http://kaurov.com/wordpress/wp-content/uploads/2012/02/MYCDF.cdf” CDFwidth=”484″ CDFheight=”573″ altimage=”http://kaurov.com/wordpress/wp-content/uploads/2012/02/polyhedra.png”]