Article ID Journal Published Year Pages File Type
1813195 Physica B: Condensed Matter 2010 5 Pages PDF
Abstract
We present a cluster covering scheme to construct the two-dimensional Ammann-Beenker tiling with octagonal symmetry. A quasi-unit cell is successfully found which is a two-color cluster similar to Gummelt's two-color decagon in five-fold quasilattice. The quasi-unit cells overlap each other following certain covering rules and thus lead to a perfect octagonal quasilattice.
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Related Topics
Physical Sciences and Engineering Physics and Astronomy Condensed Matter Physics
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