Root lattices and quasicrystals

DOI10.1088/0305-4470/23/19/004zbMath0716.52006arXivcond-mat/0006062OpenAlexW2033817294MaRDI QIDQ3203636

Dieter Joseph, Peter Kramer, Martin Schlottmann, Michael Baake

Publication date: 1990

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0006062

zbMATH Keywords

quasicrystalsroot latticesQuasiperiodic tilings

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Polyhedra and polytopes; regular figures, division of spaces (51M20) Other geometric groups, including crystallographic groups (20H15) Simple, semisimple, reductive (super)algebras (17B20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (7)

Wavevector-dependent susceptibility in \(Z\)-invariant pentagrid Ising model ⋮ A Construction of Inflation Rules for Pisot Octagonal Tilings ⋮ Canonical substitutions tilings of Ammann-Beenker type ⋮ Structural transformations in quasicrystals induced by higher dimensional lattice transitions ⋮ Sheel structure of dodecagonal quasicrystals associated with root system F₄and cyclotomic field Q(ζ₁₂) ⋮ Explicit Construction of the Voronoi and Delaunay Cells of W(An) and W(Dn) Lattices and Their Facets ⋮ Group-theoretical analysis of aperiodic tilings from projections of higher-dimensional latticesB_n

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