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 A063723 Number of vertices in the Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron). 18
 4, 8, 6, 20, 12 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The preferred order for these five numbers is 4, 6, 8, 12, 20 (tetrahedron, octahedron, cube, icosahedron, dodecahedron), as in A053016. - N. J. A. Sloane, Nov 05 2020 Also number of faces of Platonic solids ordered by increasing ratios of volumes to their respective circumscribed spheres. See cross-references for actual ratios. - Rick L. Shepherd, Oct 04 2009 Also the expected lengths of nontrivial random walks along the edges of a Platonic solid from one vertex back to itself. - Jens Voß, Jan 02 2014 LINKS FORMULA a(n) = A063722(n) - A053016(n) + 2. EXAMPLE a(2) = 8 since a cube has eight vertices. CROSSREFS Cf. A053012, A053016, A060296, A060852. Cf. A165922 (tetrahedron), A049541 (octahedron), A165952 (cube), A165954 (icosahedron), A165953 (dodecahedron). - Rick L. Shepherd, Oct 04 2009 Cf. A234974. - Jens Voß, Jan 02 2014 Sequence in context: A064494 A119800 A330685 * A323057 A028269 A019650 Adjacent sequences: A063720 A063721 A063722 * A063724 A063725 A063726 KEYWORD easy,fini,full,nonn AUTHOR Henry Bottomley, Aug 14 2001 STATUS approved

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Last modified March 26 10:47 EDT 2023. Contains 361540 sequences. (Running on oeis4.)