English

A Note on Coincidence Isometries of Modules in Euclidean Space

Metric Geometry 2009-08-05 v1

Abstract

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

Keywords

Cite

@article{arxiv.0811.3551,
  title  = {A Note on Coincidence Isometries of Modules in Euclidean Space},
  author = {Christian Huck},
  journal= {arXiv preprint arXiv:0811.3551},
  year   = {2009}
}

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8 pages