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arXiv:math/0302105 [math.CO]AbstractReferencesReviewsResources

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

N. Destainville, R. Mosseri, F. Bailly

Published 2003-02-10, updated 2004-05-14Version 2

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.

Comments: New title. Minor improvements. To appear in Theoretical Computer Science, special issue on "Combinatorics of the Discrete Plane and Tilings"
Journal: Theor. Comp. Sc. 319, 71-81 (2004).
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