The Open UniversitySkip to content

Quasicrystalline combinatorics

Baake, Michael and Grimm, Uwe (2003). Quasicrystalline combinatorics. In: Gazeau, J.-P.; Kerner, R.; Antoine, J.-P.; Metens, S. and Thibon, J.-Y. eds. Group 24: Physical and Mathematical Aspects of Symmetries. Institute of Physics Conference Series (173). Bristol, UK: IOP Publishing Ltd, pp. 193–200.

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 and their module counterparts. The corresponding counting functions are encapsulated in Dirichlet series generating functions, with worked out results for the square lattice and the Tuebingen triangle tiling. Finally, we discuss a novel approach to central and averaged shelling for these examples, also involving Dirichlet series.

Item Type: Book Section
ISBN: 0-7503-0933-4, 978-0-7503-0933-2
Extra Information: Proceedings of the 24th International Colloquium on Group Theoretical Methods in Physics, Paris
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 12350
Depositing User: Uwe Grimm
Date Deposited: 21 Nov 2008 08:48
Last Modified: 07 Dec 2018 09:14
Share this page:

Actions (login may be required)

Policies | Disclaimer

© The Open University   contact the OU