On the notions of symmetry and aperiodicity for Delone sets

Baake, Michael and Grimm, Uwe (2012). On the notions of symmetry and aperiodicity for Delone sets. Symmetry, 4(4) pp. 566–580.

DOI: https://doi.org/10.3390/sym4040566

Abstract

Non-periodic systems have become more important in recent years, both theoretically and practically. Their description via Delone sets requires the extension of many standard concepts of crystallography. Here, we summarise some useful notions of symmetry and aperiodicity, with special focus on the concept of the hull of a Delone set. Our aim is to contribute to a more systematic and consistent use of the different notions.

Viewing alternatives

Metrics

Item Actions

Export

You can export this page using these formats Digital Object Identifier - DOI

About

• Item ORO ID
• 34641
• Item Type
• Journal Item
• ISSN
• 2073-8994
• Extra Information
• Special Issue Crystal Symmetry and Structure
• Keywords
• Delone sets; tilings; symmetry; aperiodicity
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Copyright Holders
• © 2012 The Authors
• Depositing User
• Uwe Grimm