The square Fibonacci tiling

Research output: Contribution to journalConference articlepeer-review

Abstract

We introduce the 2-dimensional square Fibonacci tiling and its generalization to higher dimensions as models for quasicrystals without 'forbidden' symmetries. We derive some of the basic mathematical properties of the tiling as well as calculate its diffraction pattern. We discuss the relevance of the Fibonacci tiling for quasicrystal research and for applications in other fields.

Original languageEnglish
Pages (from-to)186-190
Number of pages5
JournalJournal of Alloys and Compounds
Volume342
Issue number1-2
DOIs
StatePublished - 14 Aug 2002
EventQC2001 - Sendai, Japan
Duration: 24 Sep 200128 Sep 2001

Keywords

  • Diffraction
  • Fibonacci
  • Quasicrystals
  • Symmetry
  • Tiling

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