Modeling of quasicrystal lattices with a 4-fold symmetry axis
نویسندگان
چکیده
منابع مشابه
Five-fold symmetry in crystalline quasicrystal lattices.
To demonstrate that crystallographic methods can be applied to index and interpret diffraction patterns from well-ordered quasicrystals that display non-crystallographic 5-fold symmetry, we have characterized the properties of a series of periodic two-dimensional lattices built from pentagons, called Fibonacci pentilings, which resemble aperiodic Penrose tilings. The computed diffraction patter...
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Previously we described an algorithm that can fill a region with an infinite sequence of randomly placed and progressively smaller shapes, producing a fractal pattern. If the algorithm is appropriately modified and the region is a fundamental region for one of the 17 “wallpaper” groups, one can obtain a fractal pattern with that symmetry group. This produces artistic patterns which have a pleas...
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Zhang found a simple, elegant argument deducing the non-existence of an infinite open cluster in certain lattice percolation models (for example, p = 1/2 bond percolation on the square lattice) from general results on the uniqueness of an infinite open cluster when it exists; this argument requires some symmetry. Here we show that a simple modification of Zhang’s argument requires only 2-fold (...
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ژورنال
عنوان ژورنال: Journal of Physics and Electronics
سال: 2018
ISSN: 2616-8685
DOI: 10.15421/331823