Symmetry and symmetry breaking of quasicrystals and their applications

Tian-You Fan, Zhi-Yi Tang
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Abstract

This paper gives a detailed review on symmetry and symmetry breaking of quasicrystals. The symmetry groups of solid and soft-matter quasicrystals observed so far are summarized and the symmetry breakings of quasicrystals are systematically discussed. The present review connects several branches of mathematics and physics and related applications in science and technology are also discussed.
准晶体的对称性和对称性破缺及其应用
本文详细综述了准晶体的对称性和对称性破缺。本文总结了迄今观测到的固体和软物质准晶体的对称群,并系统地讨论了准晶体的对称破缺。本综述将数学和物理学的多个分支联系起来,并讨论了相关的科学和技术应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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