Golden Mean/Golden Ratio and Quasicrystals  Practical Electron Microscopy and Database   An Online Book  

Microanalysis  EM Book https://www.globalsino.com/EM/  


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Quasiperiodicity in quasicrystals may exist in 1, 2, or 3dimensions of physical spaces and is related to special irrational numbers such as the golden mean ≈ 1.6180339887 that is related to fivefold symmetry through the relation . Here, τ is the interesting irrational number that has the worst approximation by a truncated continued fraction,  [1445]


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