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Superquasicrystals: selfsimilar ordered structures with non-crystallographic point symmetries

Komajiro Niizeki·Nobuhisa Fujita
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Abstract

We present a systematic method of constructing limit-quasiperiodic structures with non-crystallographic point symmetries. Such structures are different aperiodic ordered structures from quasicrystals, and we call them "superquasicrystals". They are sections of higher-dimensional limit-periodic structures constructed on "super-Bravais-lattices". We enumerate important super-Bravais-lattices. Superquasicrystals with strong selfsimilarities form an important subclass. A simplest example is a two-dimensional octagonal superquasicrystal.

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Komajiro Niizeki, Nobuhisa Fujita. 2004-11-05. Superquasicrystals: selfsimilar ordered structures with non-crystallographic point symmetries. https://doi.org/10.1088/0305-4470%2F38%2F13%2Fl01

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