A note on coincidence isometries of modules in Euclidean space

Huck, Christian (2009). A note on coincidence isometries of modules in Euclidean space. Zeitschrift für Kristallographie, 224(7) pp. 341–344.

DOI: https://doi.org/10.1524/zkri.2009.1148

Abstract

It is shown that the coincidence isometries of certain modules in Euclidean n-space can be decomposed into a product of at most n coincidence reflections defined by non-zero module elements. This generalizes previous results obtained for lattices to situations that are relevant in quasicrystallography.

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About

• Item ORO ID
• 23221
• Item Type
• Journal Item
• ISSN
• 0044-2968
• Project Funding Details

• Funded Project Name	Project ID	Funding Body
  Combinatorics of Sequences and Tilings and its Applications	EP/D058465/1	EPSRC (Engineering and Physical Sciences Research Council)

• Keywords
• grain boundaries; quasicrystals; coincidence isometry; module; reflection
• 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
• © 2009 Unknown
• Depositing User
• Uwe Grimm