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arXiv · 0704.0848

Growing Perfect Decagonal Quasicrystals by Local Rules

Hyeong-Chai Jeong
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Abstract

A local growth algorithm for a decagonal quasicrystal is presented. We show that a perfect Penrose tiling (PPT) layer can be grown on a decapod tiling layer by a three dimensional (3D) local rule growth. Once a PPT layer begins to form on the upper layer, successive 2D PPT layers can be added on top resulting in a perfect decagonal quasicrystalline structure in bulk with a point defect only on the bottom surface layer. Our growth rule shows that an ideal quasicrystal structure can be constructed by a local growth algorithm in 3D, contrary to the necessity of non-local information for a 2D PPT growth.

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BibTeXRIS

Hyeong-Chai Jeong. 2007-04-06. Growing Perfect Decagonal Quasicrystals by Local Rules. https://doi.org/10.1103/physrevlett.98.135501

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