  We examine nanoparticles (NPs) forming polyhedral sections of the ideal cubic
lattice, simple (sc), body centered (bcc), and face centered (fcc) cubic, which
are confined by facets characterized by densest and second densest {h k l}
monolayers of the lattice. Together with the constraint that the NPs exhibit
the same point symmetry as the ideal cubic lattice, i.e. Oh, different types of
generic NPs serve for the definition of general polyhedral cubic NPs. Their
structural properties, such as shape, size, and surface facets, are discussed
in analytical and numerical detail with visualization of characteristic
examples. The geometric relationships of the model particles expressed by
corresponding formulas and numerical tables can be used to estimate shapes and
sizes of real compact metal nanoparticles observed by experiment.
