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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