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Complete scheme of four-dimensional crystallographic symmetry groups

2012/07/01 by A. F. Palistrant · 1 citation
Materials Science · Mathematics · Chemistry · #X-ray Diffraction in Crystallography #Quasicrystal Structures and Properties #Analytic and geometric function theory #Symmetry (geometry) #Scheme (mathematics) #Crystallographic point group #Crystallography #Mathematics #Symmetry operation #Combinatorics #Pure mathematics #Geometry #Chemistry #Crystal structure #Mathematical analysis

paper · doi:10.1134/s1063774512040104

openalex publication_date 2012/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

One of the main problems of four-dimensional geometric crystallography is considered; i.e., the complete scheme of four-dimensional crystallographic symmetry groups is presented, and the number of symmetry groups characterizing the 12 different categories entering this scheme is indicated for each of these categories.

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