A highly symmetric four-dimensional quasicrystal

DOI10.1088/0305-4470/20/18/016zbMath0637.20024OpenAlexW2102586619MaRDI QIDQ3778160

N. J. A. Sloane, Veit Elser

Publication date: 1987

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

Full work available at URL: https://semanticscholar.org/paper/17d742446749a50f6abb49a3293bc71cc4c072ef

zbMATH Keywords

Weyl groupsymmetry groupreflectionsquasicrystalpoint group symmetry600-cellregular 4-dimensional polytope

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Applications of Lie groups to the sciences; explicit representations (22E70) Other geometric groups, including crystallographic groups (20H15) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (6)

Closing gaps in geometrically frustrated symmetric clusters: local equivalence between discrete curvature and twist transformations ⋮ Quaternionic representation of snub 24-cell and its dual polytope derived from \(E_8\) root system. ⋮ Polyhedra obtained from Coxeter groups and quaternions ⋮ 4D-POLYTOPES AND THEIR DUAL POLYTOPES OF THE COXETER GROUP W(A₄) REPRESENTED BY QUATERNIONS ⋮ Sheel structure of dodecagonal quasicrystals associated with root system F₄and cyclotomic field Q(ζ₁₂) ⋮ Hyperbolic Weyl groups and the four normed division algebras

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