The Open UniversitySkip to content

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.

Full text available as:
PDF (Accepted Manuscript) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (274kB) | Preview
DOI (Digital Object Identifier) Link:
Google Scholar: Look up in Google Scholar


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.

Item Type: Journal Item
Copyright Holders: 2012 The Authors
ISSN: 2073-8994
Extra Information: Special Issue Crystal Symmetry and Structure
Keywords: Delone sets; tilings; symmetry; aperiodicity
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 34641
Depositing User: Uwe Grimm
Date Deposited: 16 Oct 2012 12:48
Last Modified: 30 Nov 2016 11:37
Share this page:


Altmetrics from Altmetric

Citations from Dimensions

Download history for this item

These details should be considered as only a guide to the number of downloads performed manually. Algorithmic methods have been applied in an attempt to remove automated downloads from the displayed statistics but no guarantee can be made as to the accuracy of the figures.

Actions (login may be required)

Policies | Disclaimer

© The Open University   contact the OU