Special lines of quasilattices. I. The case of irreducible quasilattices in two and three dimensions

DOI10.1088/0305-4470/24/5/017zbMath0752.20021OpenAlexW2057788703MaRDI QIDQ4713623

Komajiro Niizeki

Publication date: 25 June 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/24/5/017

zbMATH Keywords

generatorsspecial pointstranslation groupgroup of translationsquasiperiodic tilingspace group symmetrysite symmetryWyckoff positions\(D\)-dimensional Euclidean space\(d\)-dimensional quasicrystalBrillouin Zonelattice- periodic structurespecial lines

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Statistical mechanics of crystals (82D25) Other geometric groups, including crystallographic groups (20H15) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

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