The square Fibonacci tiling

Ron Lifshitz*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


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
Issue number1-2
StatePublished - 14 Aug 2002
EventQC2001 - Sendai, Japan
Duration: 24 Sep 200128 Sep 2001


FundersFunder number
Israel Science Foundation278/00


    • Diffraction
    • Fibonacci
    • Quasicrystals
    • Symmetry
    • Tiling


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