Spiral tetrahedral packing in the β‐Mn crystal as symmetry realization of the 8D E8 lattice

Experimental values of atomic positions in the β‐Mn crystal permit one to distinguish among them a fragment of the helix containing 15 interpenetrating distorted icosahedra, 90 vertices and 225 tetrahedra. This fragment corresponds to the closed helix of 15 icosahedra in the 4D {3, 3, 5} polytope. T...

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Veröffentlicht in:	Acta crystallographica. Section A, Foundations and advances Foundations and advances, 2021-01, Vol.77 (1), p.7-18
Hauptverfasser:	Talis, Alexander, Everstov, Ayal, Kraposhin, Valentin
Format:	Artikel
Sprache:	eng
Schlagworte:	4D {3, 3, 5} polytope 8D E8 lattice Apexes Crystal lattices Crystallography Cubic lattice Euclidean geometry Euclidean space Helices Icosahedrons Mapping non‐crystallographic symmetry Polytopes Symmetry Tetrahedra tetrahedral tiling Tiling β‐Mn crystal
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