The core of a star-polyhedron or compound is the largest convex solid that can be drawn inside it, and the case is the smallest convex solid that can contain it.

The compound or star-polyhedron may be constructed either by stellating its core, or by faceting its case which involves removal of solid pieces.

Maple currently supports faceting process to the five polyhedra: octahedron, cuboctahedron, icosidodecahedron, small rhombicuboctahedron and small rhombiicosidodecahedron.

For the octahedron, there are two values of n: 0 and 1.

For the other four polyhedra, there are three values of n: 0, 1 and 2.

To access the information relating to a facetted polyhedron gon, use the following function calls: