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Accueil du site > Publications > Publications 2004 > A formula for the number of tilings of an octagon by rhombi

A formula for the number of tilings of an octagon by rhombi

N. Destainville, R. Mosseri, F. Bailly

par Nicolas Destainville - 28 mars 2006

We propose the first algebraic determinantal formula to enumerate tilings of a centro-symmetric octagon of any size by rhombi. This result uses the Gessel-Viennot technique and generalizes to any octagon a formula given by Elnitsky in a special case.