Multidimensional Golay-Rudin-Shapiro structures

S. I. Ben-Abraham, Amit David

Research output: Contribution to journalConference articlepeer-review


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.

Original languageEnglish
Article number012008
JournalJournal of Physics: Conference Series
Issue number1
StatePublished - 10 Feb 2020
Event14th International Conference on Quasicrystals, ICQ 2019 - Kranjska Gora, Slovenia
Duration: 26 May 201930 May 2019

ASJC Scopus subject areas

  • General Physics and Astronomy

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