duality between the cube and the octahedron, and between the dodecahedron and the icosahedron. Also, partially because the tetrahedron is self-dual, only one Archimedean solid that has at most tetrahedral symmetry. (All Platonic solids have at least tetrahedral symmetry, as tetrahedral symmetry is a symmetry operation of (i.e. is included in) octahedral and isohedral symmetries, which is demonstrated by the fact that an octahedron can be viewed as a rectified tetrahedron, and an icosahedron can be used as a snub tetrahedron.) Stereographic projection See also Aperiodic tiling Archimedean graph Icosahedral twins List of uniform polyhedra Prince Rupert's cube#Generalizations Quasicrystal Regular polyhedron Semiregular polyhedron Toroidal polyhedron Uniform polyhedron Citations Works cited . Reprinted in . . General references . Chapter 2 (Section 3–9) . External links Archimedean Solids by Eric W. Weisstein, Wolfram Demonstrations Project. Paper models of Archimedean Solids and Catalan Solids Free paper models(nets) of Archimedean solids The Uniform Polyhedra by Dr. R. Mäder Archimedean Solids at Visual Polyhedra by David I. McCooey Virtual Reality Polyhedra, The Encyclopedia of Polyhedra by George W. Hart Penultimate Modular Origami by James S. Plank Interactive 3D polyhedra in Java Solid Body Viewer is an interactive 3D polyhedron viewer which allows you to save the model in svg, stl or obj format. Stella: Polyhedron Navigator: Software used to create many of the images on this page. Paper Models of Archimedean (and other) Polyhedra