cp's OEIS Frontend

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.

%I A053016 #44 Feb 16 2025 08:32:42
%S A053016 4,6,8,12,20
%N 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.
%C A053016 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 A053016 H. S. M. Coxeter, Regular Polytopes, 3rd. ed., Dover, NY, 1973.
%H A053016 S. Alejandre, <a href="http://mathforum.org/alejandre/applet.polyhedra.html">Studying Polyhedra</a>
%H A053016 P. Alfeld, <a href="http://www.math.utah.edu/~alfeld/math/polyhedra/polyhedra.html">The Platonic Solids</a>
%H A053016 D. M. Cahir, <a href="http://www.ul.ie/~cahird/polyhedronmode/photo.htm">Platonic Solids</a>
%H A053016 M. Chaplin, <a href="http://www.lsbu.ac.uk/water/platonic2.html">The Platonic Solids</a>
%H A053016 D. Eberly, <a href="http://www.magic-software.com/Documentation/PlatonicSolids.pdf">Platonic Solids</a>
%H A053016 T. Eveilleau, <a href="http://perso.orange.fr/therese.eveilleau/pages/truc_mat/textes/platon.htm">Les solides de Platon</a>
%H A053016 W. Fendt, <a href="https://www.walter-fendt.de/html5/mde/platonicsolids_de.htm">The Platonic Solids</a> (in German)
%H A053016 F. Fernandez, <a href="http://www.personal.psu.edu/users/f/x/fxf120/main.htm">Platonic Solids</a>
%H A053016 Z. Fiedorowicz, <a href="http://www.math.ohio-state.edu/~fiedorow/math655/Euler.html">V-E+F=2</a>
%H A053016 D. A. Fontaine, <a href="http://davidf.faricy.net/polyhedra/Platonic_Solids.html">The Five Platonic Solids</a>
%H A053016 FreeDictionary.com, <a href="http://encyclopedia.thefreedictionary.com/Platonic+solid">Platonic solid</a>
%H A053016 Polyhedra.mathmos.net, <a href="http://www.srcf.ucam.org/~rjw62/polyhedra/entry/platonicsolids.html">The Platonic Solids</a>
%H A053016 E. S. Rowland, <a href="https://ericrowland.github.io/investigations/polyhedra.html">Regular Polyhedra</a>
%H A053016 A. Ruediger, <a href="http://www.pen.k12.va.us/Div/Winchester/jhhs/math/lessons/geometry/plato.html">The Platonic Solids</a>
%H A053016 L. Stemkoski, <a href="https://web.archive.org/web/20091023101259/http://www.geocities.com/CapeCanaveral/Hangar/7773/platonic.html">Platonic Solids</a>
%H A053016 G. Tulloue, <a href="http://www.sciences.univ-nantes.fr/physique/perso/gtulloue/polyhedra/Plato/index_plato_a.html">Plato's Polyhedra</a>
%H A053016 University of St. Andrews, <a href="http://www-history.mcs.st-and.ac.uk/%7Ehistory/Diagrams/PlatonicSolids.gif">The five Platonic solids</a>
%H A053016 Utah State University, <a href="http://matti.usu.edu/nlvm/nav/frames_asid_128_g_3_t_3.html">Platonic Solids</a>
%H A053016 Visual Geometry Pages, <a href="http://www.zib.de/vgp/content/solids/PaPlatonic.html">Platonic Solids</a>
%H A053016 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PlatonicSolid.html">Platonic Solid</a>.
%H A053016 D. Wells, <a href="http://www.bluefish.org/polydr.htm">Regular Polyhedra</a>
%H A053016 Wolfram Research, <a href="http://library.wolfram.com/webMathematica/Graphics/Polyhedron.jsp">Polyhedron Explorer</a>
%H A053016 W. Wu, <a href="http://www.ocf.berkeley.edu/~wwu/papers/platonicsolids.pdf">The Platonic Solids</a>
%H A053016 Anonymous, <a href="http://www.atractor.pt/mat/Polied/poliedros-e.htm">Polyhedra</a>
%H A053016 Anonymous, <a href="http://www.shef.ac.uk/nps/courses/groups/plato.html">The Platonic Solids</a>
%Y A053016 Cf. A063927, A063722, A063723.
%K A053016 nonn,fini,full
%O A053016 1,1
%A A053016 Jeffrey Keller (jeff(AT)auctionflow.com), Feb 24 2000
%E A053016 Definition expanded by _N. J. A. Sloane_, Nov 06 2020