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An Exposition Of Kasteleyn's Solution Of The Dimer Model, Eric Stucky
An Exposition Of Kasteleyn's Solution Of The Dimer Model, Eric Stucky
HMC Senior Theses
In 1961, P. W. Kasteleyn provided a baffling-looking solution to an apparently simple tiling problem: how many ways are there to tile a rectangular region with dominos? We examine his proof, simplifying and clarifying it into this nearly self-contained work.