On Inflation Rules for Mosseri-Sadoc Tilings

1999/11/03 by Zorka Papadopolos, Oleg Ogievetsky
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:52B45 #msc:52C22 #msc:05B45 #msc:51M20

paper · pdf

published as to be published in Proc. of the "7th International Conference on Quasicrystals", Stuttgart, Germany, 20-24 September 1999 · LaTeX file, 4(3) pages + 7 figures (FIG1.gif, FIG2.gif,... FIH7.gif) and a style file (icqproc.sty)

arxiv created 1999/11/03 · arxiv updated 2009/11/30

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= (1+√(5))/(2) and -τ^-1.

Related

• Tiles--Inflation Rules for the Class of Canonical Tilings T*(2F)
• Inflation rule for Gummelt coverings with decorated decagons and its implication to quasi-unit-cell models
• Hyperuniformity of self-similar point processes
• Tessellations and Positional Representation
• Function Theory on Inflationary Tessellations