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A244055
Number of edges on each face of the Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron).
0
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.
CROSSREFS
Cf. A053016 (faces), A063722 (edges), A063723 (vertices).
Sequence in context: A025267 A223169 A201420 * A090739 A076400 A363194
KEYWORD
nonn,easy,fini,full
AUTHOR
Wesley Ivan Hurt, Jun 18 2014
STATUS
approved