The Open UniversitySkip to content

Colourings of planar quasicrystals

Baake, Michael; Grimm, Uwe and Scheffer, Max (2002). Colourings of planar quasicrystals. Journal of Alloys and Compounds, 342(1-2) pp. 195–197.

Full text available as:
PDF (Not Set) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (270kB)
DOI (Digital Object Identifier) Link:
Google Scholar: Look up in Google Scholar


The investigation of colour symmetries for periodic and aperiodic systems consists of two steps. The first concerns the computation of the possible numbers of colours and is mainly combinatorial in nature. The second is algebraic and determines the actual colour symmetry groups. Continuing previous work, we present the results of the combinatorial part for planar patterns with n-fold symmetry, where n=7, 9, 15, 16, 20, 24. This completes the cases with phi(n)<=8, where phi is Euler's totient function.

Item Type: Journal Item
ISSN: 0925-8388
Keywords: aperiodic order; colour symmetries; combinatorics; generating functions; Dirichlet series
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 6743
Depositing User: Uwe Grimm
Date Deposited: 13 Feb 2007
Last Modified: 08 Dec 2018 06:12
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