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A063723 Number of vertices in the Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron). 10
4, 8, 6, 20, 12 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

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. [From Rick L. Shepherd (rshepherd2(AT)hotmail.com), Oct 04 2009]

FORMULA

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

EXAMPLE

a(1)=8 since a cube has eight vertices.

CROSSREFS

Cf. A053012, A060296, A060852.

Cf. A165922 (tetrahedron), A049541 (octahedron), A165952 (cube), A165954 (icosahedron), A165953 (dodecahedron). [From Rick L. Shepherd (rshepherd2(AT)hotmail.com), Oct 04 2009]

Sequence in context: A005531 A064494 A119800 * A028269 A019650 A193081

Adjacent sequences:  A063720 A063721 A063722 * A063724 A063725 A063726

KEYWORD

easy,fini,full,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Aug 14 2001

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Last modified February 17 03:45 EST 2012. Contains 205978 sequences.