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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.
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%I #43 Aug 30 2024 15:55:11

%S 4,6,8,12,20

%N 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.

%C 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

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

%H S. Alejandre, <a href="http://mathforum.org/alejandre/applet.polyhedra.html">Studying Polyhedra</a>

%H P. Alfeld, <a href="http://www.math.utah.edu/~alfeld/math/polyhedra/polyhedra.html">The Platonic Solids</a>

%H D. M. Cahir, <a href="http://www.ul.ie/~cahird/polyhedronmode/photo.htm">Platonic Solids</a>

%H M. Chaplin, <a href="http://www.lsbu.ac.uk/water/platonic2.html">The Platonic Solids</a>

%H D. Eberly, <a href="http://www.magic-software.com/Documentation/PlatonicSolids.pdf">Platonic Solids</a>

%H T. Eveilleau, <a href="http://perso.orange.fr/therese.eveilleau/pages/truc_mat/textes/platon.htm">Les solides de Platon</a>

%H W. Fendt, <a href="https://www.walter-fendt.de/html5/mde/platonicsolids_de.htm">The Platonic Solids</a> (in German)

%H F. Fernandez, <a href="http://www.personal.psu.edu/users/f/x/fxf120/main.htm">Platonic Solids</a>

%H Z. Fiedorowicz, <a href="http://www.math.ohio-state.edu/~fiedorow/math655/Euler.html">V-E+F=2</a>

%H D. A. Fontaine, <a href="http://davidf.faricy.net/polyhedra/Platonic_Solids.html">The Five Platonic Solids</a>

%H FreeDictionary.com, <a href="http://encyclopedia.thefreedictionary.com/Platonic+solid">Platonic solid</a>

%H Polyhedra.mathmos.net, <a href="http://www.srcf.ucam.org/~rjw62/polyhedra/entry/platonicsolids.html">The Platonic Solids</a>

%H E. S. Rowland, <a href="https://ericrowland.github.io/investigations/polyhedra.html">Regular Polyhedra</a>

%H A. Ruediger, <a href="http://www.pen.k12.va.us/Div/Winchester/jhhs/math/lessons/geometry/plato.html">The Platonic Solids</a>

%H L. Stemkoski, <a href="https://web.archive.org/web/20091023101259/http://www.geocities.com/CapeCanaveral/Hangar/7773/platonic.html">Platonic Solids</a>

%H G. Tulloue, <a href="http://www.sciences.univ-nantes.fr/physique/perso/gtulloue/polyhedra/Plato/index_plato_a.html">Plato's Polyhedra</a>

%H University of St. Andrews, <a href="http://www-history.mcs.st-and.ac.uk/%7Ehistory/Diagrams/PlatonicSolids.gif">The five Platonic solids</a>

%H Utah State University, <a href="http://matti.usu.edu/nlvm/nav/frames_asid_128_g_3_t_3.html">Platonic Solids</a>

%H Visual Geometry Pages, <a href="http://www.zib.de/vgp/content/solids/PaPlatonic.html">Platonic Solids</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PlatonicSolid.html">Platonic Solid</a>.

%H D. Wells, <a href="http://www.bluefish.org/polydr.htm">Regular Polyhedra</a>

%H Wolfram Research, <a href="http://library.wolfram.com/webMathematica/Graphics/Polyhedron.jsp">Polyhedron Explorer</a>

%H W. Wu, <a href="http://www.ocf.berkeley.edu/~wwu/papers/platonicsolids.pdf">The Platonic Solids</a>

%H Anonymous, <a href="http://www.atractor.pt/mat/Polied/poliedros-e.htm">Polyhedra</a>

%H Anonymous, <a href="http://www.shef.ac.uk/nps/courses/groups/plato.html">The Platonic Solids</a>

%Y Cf. A063927, A063722, A063723.

%K nonn,fini,full

%O 1,1

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

%E Definition expanded by _N. J. A. Sloane_, Nov 06 2020