Classification of One-Dimensional Quasilattices into Mutual Local-Derivability Classes

Komajiro Niizeki, Nobuhisa Fujita

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

One-dimensional quasilattices are classified into mutual local-derivability (MLD) classes on the basis of geometrical and number-theoretical considerations. Most quasilattices are ternary, and there exist an infinite number of MLD classes. Every MLD class has a finite number of quasilattices with inflation symmetries. We can choose one of them as the representative of the MLD class, and other members are given as decorations of the representative. Several MLD classes of particular importance are listed. The symmetry-preserving decorations rules are investigated extensively.

Original languageEnglish
Pages (from-to)99-118
Number of pages20
Journaljournal of the physical society of japan
Volume71
Issue number1
DOIs
Publication statusPublished - 2002 Jan

Keywords

  • Projection method
  • Quasicrystals
  • Substitution rule

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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