The square Fibonacci tiling

Ron Lifshitz

doi:10.1016/S0925-8388(02)00169-X

The square Fibonacci tiling

Ron Lifshitz

School of Physics and Astronomy

Research output: Contribution to journal › Conference article › peer-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 language	English
Pages (from-to)	186-190
Number of pages	5
Journal	Journal of Alloys and Compounds
Volume	342
Issue number	1-2
DOIs	https://doi.org/10.1016/S0925-8388(02)00169-X
State	Published - 14 Aug 2002
Event	QC2001 - Sendai, Japan Duration: 24 Sep 2001 → 28 Sep 2001

Keywords

Diffraction
Fibonacci
Quasicrystals
Symmetry
Tiling

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10.1016/S0925-8388(02)00169-X

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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.",

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author = "Ron Lifshitz",

note = "Funding Information: I thank Ma{\textquoteright}ayan Honig for participating in some of the explorations of the square Fibonacci tiling. This research is supported by the Israel Science Foundation (Grant No. 278/00).; null ; Conference date: 24-09-2001 Through 28-09-2001",

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N2 - 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.

AB - 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.

KW - Diffraction

KW - Fibonacci

KW - Quasicrystals

KW - Symmetry

KW - Tiling

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SN - 0925-8388

IS - 1-2

Y2 - 24 September 2001 through 28 September 2001

ER -

The square Fibonacci tiling

Abstract

Keywords

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