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

N. Destainville·R. Mosseri·F. Bailly
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Abstract

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.

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BibTeXRIS

N. Destainville, R. Mosseri, F. Bailly. 2004-05-14. A formula for the number of tilings of an octagon by rhombi. https://arxiv.org/abs/math/0302105

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