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A063723 Number of vertices in the Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron). 14
4, 8, 6, 20, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

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

FORMULA

a(n) = A063722(n) - A053016(n) + 2.

EXAMPLE

a(2) = 8 since a cube has eight vertices.

CROSSREFS

Cf. A053012, 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: A288189 A064494 A119800 * A028269 A019650 A193081

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 October 18 16:51 EDT 2018. Contains 316323 sequences. (Running on oeis4.)