Classification of One - dimensional Quasilattices into Mutual Local - Derivability Classes
نویسنده
چکیده
One-dimensional quasilattices, namely, the geometrical objects to represent quasicrystals, are classified into mutual local-derivability (MLD) classes on the basis of geometrical and number-theoretical considerations. Most quasilattices are ternary, and there exist an infinite number of MLD classes. For every MLD class, we can choose a self-similar member as its representative, and a non-self-similar member is given as a decoration of the representative. Several properties of a number of important MLD classes are investigated. The theory has been extended so as to include the symmetry-preserving MLD classes.
منابع مشابه
New classes of quasicrystals and marginal critical states
One-dimensional quasilattices, namely, the geometrical objects that represent quasicrystals, are classified into mutual local-derivability (MLD) classes. Besides the familiar class, there exist an infinite number of new MLD classes, and different MLD classes are distinguished by the inflation rules of their representatives. It has been found that electronic properties of a new MLD class are cha...
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