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A new description of Penrose tiling, based on parameterization of tiling rhombuses, has been obtained. A method making it possible to describe clusters and coordination environments in Penrose tiling in… Click to show full abstract
A new description of Penrose tiling, based on parameterization of tiling rhombuses, has been obtained. A method making it possible to describe clusters and coordination environments in Penrose tiling in terms of parameters is developed. The parameters of all possible types of the first coordination environments in Penrose tiling are found. A new proof is obtained that the form of layer-by-layer growth of Penrose tiling is a regular decagon, and the vertices of this decagon are calculated.
Keywords:
parameterization;
tiling using;
study penrose;
parameterization method;
using parameterization;
penrose tiling
Journal Title: Crystallography Reports
Year Published: 2019
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Journal Title: Crystallography Reports
Year Published: 2019
Link to full text (if available)
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recommendations!