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

1,1

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

Table of n, a(n) for n=1..5.

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.

Sequence in context: A178549 A244408 A023374 * A078785 A308875 A323059

Adjacent sequences: A053013 A053014 A053015 * A053017 A053018 A053019

Keyword

nonn,fini,full

Author

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

Extensions

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

Status

approved