English

On Inflation Rules for Mosseri-Sadoc Tilings

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

We give the inflation rules for the decorated Mosseri-Sadoc tiles in the projection class of tilings T(MS){\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=1+52\tau = \frac{1+\sqrt{5}}{2} and τ1-\tau^{-1}.

Cite

@article{arxiv.math-ph/9911005,
  title  = {On Inflation Rules for Mosseri-Sadoc Tilings},
  author = {Zorka Papadopolos and Oleg Ogievetsky},
  journal= {arXiv preprint arXiv:math-ph/9911005},
  year   = {2007}
}

Comments

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