Faceting is the reciprocal or dual process to stellation.
For example, a regular pentagon has one symmetry faceting, the pentagram, and the regular hexagon has two symmetric facetings, one as a polygon, and one as a compound of two triangles.
The regular icosahedron can be faceted into three regular Kepler–Poinsot polyhedra: small stellated dodecahedron, great dodecahedron, and great icosahedron.
The uniform stars and compound of five cubes are constructed by face diagonals.
The excavated dodecahedron is a facetting with star hexagon faces.