Superquasicrystals: selfsimilar ordered structures with non-crystallographic point symmetries

Details Superquasicrystals: selfsimilar ordered structures with non-crystallographic point symmetries Superquasicrystals: selfsimilar ordered structures with non-crystallographic point symmetries

2004-11-05

arxiv.org/abs/cond-mat/0411134v1

J. Phys. A: Math. Gen. 38 (2005) L199-204.

Physics

Condensed Matter

Materials Science

7 pages, 1 figure, Submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/38/13/L01

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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