A338603 Resistance distances occurring between vertices of the 5 Platonic solids, expressed over a common denominator of 60.

22, 25, 28, 30, 35, 38, 45, 50, 54, 64, 68, 70

Offset

1,1

Comments

All edges of the corresponding graphs are replaced by one-ohm resistors.

Links

Table of n, a(n) for n=1..12.

Douglas J. Klein, Resistance-Distance Sum Rules, Croatica Chemica Acta, Vol. 75 No. 2, 2002, page 643, Table I.

Eric Weisstein's World of Mathematics, Resistance Distance

Example

a(4) = 30: the resistance of (1/2) ohm can be measured between any 2 vertices of the tetrahedron, two opposite vertices of the octahedron, and pairs of maximally distant vertices of the icosahedron.

Crossrefs

Sequence in context: A280646 A345479 A295799 * A322124 A178423 A108632

Adjacent sequences: A338600 A338601 A338602 * A338604 A338605 A338606

Keyword

nonn,fini,full

Author

Hugo Pfoertner, Nov 16 2020

Status

approved