A formula for the number of tilings of an octagon by rhombi
arXiv:math/0302105
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.
arXiv commentNew title. Minor improvements. To appear in Theoretical Computer Science, special issue on "Combinatorics of the Discrete Plane and Tilings"