The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements
The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements
A classic puzzle asks for the effective resistance between vertices at the ends of a long diagonal when the edges of a cube are replaced by 1-ohm resistors. The solution relies on the observation that for each of the endpoints, the three adjacent vertices are at the same potential, by …