Ugo Adriano Graziotti - The Thirteen Duals of the Semi-Regular Archimedean Polyhedra, “Polyhedra:The Realm of Geometric Beauty”, 1962.

In Space, every Figure having Height, Width and Depth, and formed of Planes, Lines and Points, has associated with it another Figure composed of Planes, Lines and Points - its so-called Dual Configuration. In this association lies a far reaching Principle of Mathematics - the Principle of Duality. Each of the Points of the first Body is Transformed into a Plane of the second Body, and a Plane is Transformed into a Point. The new Body thus formed is called the Dual of the first.

PLATE 1: Solid Triakis Tetrahedron
PLATE 2: Solid Triakis Octahedron
PLATE 3: Solid Tetrakis Hexahedron
PLATE 4: Solid Triakis Icosahedron
PLATE 5: Solid Trapezoidal Icositetrahedron
PLATE 6: Solid Rhombic Dodecahedron
PLATE 7: Solid Rhombic Triacontahedron
PLATE 8: Solid Hexakis Octahedron
PLATE 9: Solid Pentakis Dodecahedron
PLATE 10: Solid Trapezoidal Hexecontahedron
PLATE 11: Solid Hexakis Icosahedron
PLATE 12: Solid Pentagonal Icositetrahedron
PLATE 13: Solid Pentagonal Hexecontrahedron