The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements

Document Type

Article

Department

Mathematics (HMC)

Publication Date

12-2010

Abstract

Using a classic puzzle concerning a cube of resistors as a point of departure, we use its generalization to a hypercube of resistors as an excuse to survey a number of results concerning generating functions, asymptotic expansions, and combinatorial enumeration. We conclude by giving, apparently for the first time, the complete solution to the problem of the hypercube of resistors.

Rights Information

© Mathematical Association of America 2010

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