On Inflation Rules for Mosseri-Sadoc Tilings

Details On Inflation Rules for Mosseri-Sadoc Tilings On Inflation Rules for Mosseri-Sadoc Tilings

1999-11-03

arxiv.org/abs/math-ph/9911005v1

to be published in Proc. of the "7th International Conference on Quasicrystals", Stuttgart, Germany, 20-24 September 1999

Physics

Mathematical Physics

LaTeX file, 4(3) pages + 7 figures (FIG1.gif, FIG2.gif,... FIH7.gif) and a style file (icqproc.sty)

Scientific paper

We give the inflation rules for the decorated Mosseri-Sadoc tiles in the
projection class of tilings ${\cal T}^{(MS)}$. Dehn invariants related to the
stone inflation of the Mosseri-Sadoc tiles provide eigenvectors of the
inflation matrix with eigenvalues equal to $\tau = \frac{1+\sqrt{5}}{2}$ and
$-\tau^{-1}$.

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