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Resistance distances occurring between vertices of the 5 Platonic solids, expressed over a common denominator of 60.
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%I #6 Nov 17 2020 14:22:39

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

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

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

%H Douglas J. Klein, <a href="https://hrcak.srce.hr/127542">Resistance-Distance Sum Rules</a>, Croatica Chemica Acta, Vol. 75 No. 2, 2002, page 643, Table I.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ResistanceDistance.html">Resistance Distance</a>

%e 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.

%K nonn,fini,full

%O 1,1

%A _Hugo Pfoertner_, Nov 16 2020