A053016 Numbers of vertices of Platonic solids in the order tetrahedron, octahedron, cube, icosahedron, dodecahedron. Equally, numbers of faces of Platonic solids in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron.

4, 6, 8, 12, 20

Offset: 1

Author

Jeffrey Keller (jeff(AT)auctionflow.com), Feb 24 2000

Keywords

• nonn
• fini
• full

Comments

It appears that the stereographic projection of the Platonic solids requires respectively 4, 6, 8, 6, 10, different colors to represent them. - Eric Desbiaux, Feb 15 2009

References

• H. S. M. Coxeter, Regular Polytopes, 3rd. ed., Dover, NY, 1973.

Links

• S. Alejandre, Studying Polyhedra
• P. Alfeld, The Platonic Solids
• D. M. Cahir, Platonic Solids
• M. Chaplin, The Platonic Solids
• D. Eberly, Platonic Solids
• T. Eveilleau, Les solides de Platon
• W. Fendt, The Platonic Solids (in German)
• F. Fernandez, Platonic Solids
• Z. Fiedorowicz, V-E+F=2
• D. A. Fontaine, The Five Platonic Solids
• FreeDictionary.com, Platonic solid
• Polyhedra.mathmos.net, The Platonic Solids
• E. S. Rowland, Regular Polyhedra
• A. Ruediger, The Platonic Solids
• L. Stemkoski, Platonic Solids
• G. Tulloue, Plato's Polyhedra
• University of St. Andrews, The five Platonic solids
• Utah State University, Platonic Solids
• Visual Geometry Pages, Platonic Solids
• Eric Weisstein's World of Mathematics, Platonic Solid.
• D. Wells, Regular Polyhedra
• Wolfram Research, Polyhedron Explorer
• W. Wu, The Platonic Solids
• Anonymous, Polyhedra
• Anonymous, The Platonic Solids

Crossrefs

Cf. A063927, A063722, A063723.

Extensions

Definition expanded by N. J. A. Sloane, Nov 06 2020