Superquasicrystals: Self-similar-ordered structures with non-crystallographic point symmetries

Komajiro Niizeki, Nobuhisa Fujita

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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 self-similarities form an important subclass. The simplest example is a two-dimensional octagonal superquasicrystal.

Original languageEnglish
Pages (from-to)L199-L204
JournalJournal of Physics A: Mathematical and General
Issue number13
Publication statusPublished - 2005 Apr 1
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)


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