A Note on Coincidence Isometries of Modules in Euclidean Space

Details A Note on Coincidence Isometries of Modules in Euclidean Space A Note on Coincidence Isometries of Modules in Euclidean Space

2008-11-21

arxiv.org/abs/0811.3551v1

Z. Kristallogr. 224 (2009), 341-344

Mathematics

Metric Geometry

8 pages

Scientific paper

10.1524/zkri.2009.1148

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 their non-zero elements. This generalizes previous
results obtained for lattices to situations that are relevant in
quasicrystallography.

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