Faye Goldman wrote about polyhedra " The pyramid sticking out from the base polyhedron does not need to be anything special, unless you are looking for the stellation."
Stellations involve extending face planes and not putting pyramids on faces of polyhedra. George Hart has a definition of stellation for polyhedra here http://www.georgehart.com/virtual-polyhedra/stellations-info.html<http://www.georgehart.com/virtual-polyhedra/stellations-info.html><http://www.georgehart.com/virtual-polyhedra/stellations-info.html> Rona
