The Open UniversitySkip to content

Combinatorial problems of (quasi-)crystallography

Baake, Michael and Grimm, Uwe (2003). Combinatorial problems of (quasi-)crystallography. In: Trebin, Hans-Rainer ed. Quasicrystals: Structure and Physical Properties. Weinheim: Wiley-VCH, pp. 160–171.

DOI (Digital Object Identifier) Link:
Google Scholar: Look up in Google Scholar


Several combinatorial problems of (quasi-)crystallography are reviewed with special emphasis on a unified approach, valid for both crystals and quasicrystals. In particular, we consider planar sublattices, similarity sublattices, coincidence sublattices, their module counterparts, and central and averaged shelling. The corresponding counting functions are encapsulated in Dirichlet series generating functions, with explicit results for the triangular lattice and the twelvefold symmetric shield tiling. Other combinatorial properties are briefly summarised.

Item Type: Book Section
ISBN: 3-527-40399-X, 978-3-527-40399-8
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 8221
Depositing User: Uwe Grimm
Date Deposited: 22 Jun 2007
Last Modified: 07 Dec 2018 09:04
Share this page:


Altmetrics from Altmetric

Citations from Dimensions

Actions (login may be required)

Policies | Disclaimer

© The Open University   contact the OU