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On Inflation Rules for Mosseri-Sadoc Tilings

arXiv:math-ph/9911005

Abstract

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 $τ= \frac{1+\sqrt{5}}{2}$ and $-τ^{-1}$.

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