Brilliant's Brilliant LOGO

Electricity and Magnetism Level 5

The Brilliant logo is similar in appearance to a Disdyakis triacontahedron, a Catalan solid. Suppose we had a circuit consisting of the edges and vertices of one of these solids, and the resistance along any edge is $1\, \Omega.$

The North and South pole vertices of this solid each have 10 connected edges. Determine the equivalent resistance between the poles of the solid in $\Omega.$