On Inflation Rules for Mosseri-Sadoc Tilings

Zorka Papadopolos , Oleg Ogievetsky (1, 2)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332

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 $-\tau^{-1}$.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Zorka Papadopolos, Oleg Ogievetsky. On Inflation Rules for Mosseri-Sadoc Tilings. 1999. ⟨hal-00473325⟩