  Clones are generalizations of operads forming powerful instruments to
describe varieties of algebras wherein repeating variables are allowed in their
relations. They allow us in this way to realize and study a large range of
algebraic structures. A functorial construction from the category of monoids to
the category of clones is introduced. The obtained clones involve words on
positive integers where letters are pigmented by elements of a monoid. By
considering quotients of these structures, we construct a complete hierarchy of
clones involving some families of combinatorial objects. This provides clone
realizations of some known and some new special classes of monoids as among
others the variety of left-regular bands, bounded semilattices, and regular
band monoids.
