Complex quasiperiodic self-similar tilings: their parameterization, boundaries, complexity, growth and symmetry

A class of quasiperiodic tilings of the complex plane is discussed. These tilings are based on β‐expansions corresponding to cubic irrationalities. There are three classes of tilings: Q3, Q4 and Q5. These classes consist of three, four and five pairwise similar prototiles, respectively. A simple alg...

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Veröffentlicht in:	Acta crystallographica. Section A, Foundations of crystallography Foundations of crystallography, 2010-05, Vol.66 (3), p.427-437
Hauptverfasser:	Shutov, A. V., Maleev, A. V., Zhuravlev, V. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Crystallography Fractals Geometry Mathematics parameterizations quasiperiodic plane tilings β-expansions
Online-Zugang:	Volltext
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