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

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

2003-02-10

arxiv.org/abs/math/0302105v2

Theor. Comp. Sc. 319, 71-81 (2004).

Mathematics

Combinatorics

New title. Minor improvements. To appear in Theoretical Computer Science, special issue on "Combinatorics of the Discrete Plan

Scientific paper

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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