A244055 Number of edges on each face of the Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron).

3, 4, 3, 5, 3

Offset

1,1

Comments

The number of edges on the face of each Platonic solid is a divisor of the total number of edges (A063722) of its corresponding solid. The ratios of the total number of edges to face edges are 6:3, 12:4, 12:3, 30:5, 30:3 --> giving the integer sequence 2, 3, 4, 6, 10.

Although a(n) is also the number of vertices on each face of the Platonic solids, they are not altogether divisors of the total number of vertices (A063723) with the tetrahedron as the only exception. The ratios are 4:3, 8:4, 6:3, 20:5, 12:3.

Please see A053016 for an extensive list of web resources about the Platonic Solids.

Links

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

Crossrefs

Cf. A053016 (faces), A063722 (edges), A063723 (vertices).

Sequence in context: A025267 A223169 A201420 * A090739 A076400 A363194

Adjacent sequences: A244052 A244053 A244054 * A244056 A244057 A244058

Keyword

nonn,easy,fini,full

Author

Wesley Ivan Hurt, Jun 18 2014

Status

approved