cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A063723 Number of vertices in the Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron).

This page as a plain text file.
%I A063723 #21 Nov 05 2020 22:01:56
%S A063723 4,8,6,20,12
%N A063723 Number of vertices in the Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron).
%C A063723 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
%C A063723 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
%C A063723 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
%F A063723 a(n) = A063722(n) - A053016(n) + 2.
%e A063723 a(2) = 8 since a cube has eight vertices.
%Y A063723 Cf. A053012, A053016, A060296, A060852.
%Y A063723 Cf. A165922 (tetrahedron), A049541 (octahedron), A165952 (cube), A165954 (icosahedron), A165953 (dodecahedron). - _Rick L. Shepherd_, Oct 04 2009
%Y A063723 Cf. A234974. - _Jens Voß_, Jan 02 2014
%K A063723 easy,fini,full,nonn
%O A063723 1,1
%A A063723 _Henry Bottomley_, Aug 14 2001