We extend the standard two-stage construction of the double-sided Golay-Rudin-Shapiro sequence to higher dimensions. We explicitly present the two-dimensional structure which is a convenient paradigm for all natural dimensions. We show also the three-dimensional four-symbol first-stage structure which we call proto-GRS and the final two-symbol Golay-Rudin-Shapiro structure. They may serve as models of disordered equicomposition alloys with some short range order of four and two components, respectively. Finally we show the essential features of the three- and four-dimensional structures.
|Journal of Physics: Conference Series
|Published - 10 Feb 2020
|14th International Conference on Quasicrystals, ICQ 2019 - Kranjska Gora, Slovenia
Duration: 26 May 2019 → 30 May 2019
ASJC Scopus subject areas
- General Physics and Astronomy