On Inflation Rules for Mosseri-Sadoc Tilings

Abstract

We give the inflation rules for the decorated Mosseri-Sadoc tiles in the projection class of tilings ${\mathcal{T}}^{(MS)}$. 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 $-{\tau }^{-1}$.

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