Composite polyhedron

A convex polyhedron is said to be composite if there exists a plane through a cycle of its edges that is not a face.

Repeated slicing of this type decomposes any polyhedron into non-composite or elementary polyhedra.

[1][2] Some examples of non-composite polyhedron are the prisms, antiprisms, and the other seventeen Johnson solids.

Alternatively, it can be defined as a convex polyhedron that can separated into two or more non-composite polyhedra.

This process is known as augmentation, although its general meaning is constructed by attaching pyramids, cupola, and rotundas.