What is it about?

What is a crystal? Where to draw the boundary between order and disorder? Toy models can play a key role in exploring these questions and investigating the possible manifestations of order in physical systems.

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Why is it important?

The discovery of quasicrystals in 1982 came as a surprise to the academic community. It shows that intricate aperiodic order is possible in nature. It is important to explore what other types of order may exist and how these could be detected. This paper explores some aspects of this question from a mathematical perspective.

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This page is a summary of: Aperiodic crystals and beyond, Acta Crystallographica Section B Structural Science Crystal Engineering and Materials, May 2015, International Union of Crystallography,
DOI: 10.1107/s2052520615008409.
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