Crystallography, geometry and physics in higher dimensions. III. Geometrical symbols for the 227 crystallographic point groups in four-dimensional space

DOI10.1107/S0108767387099367zbMath1191.82102OpenAlexW1993236092MaRDI QIDQ3575566

Thérèse Phan, Dominique Weigel, Renée Veysseyre

Publication date: 27 July 2010

Published in: Acta Crystallographica Section A Foundations of Crystallography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1107/s0108767387099367

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Other geometric groups, including crystallographic groups (20H15)

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Deformations, isosymmetric manifolds, and higher-dimensional form space symmetries for point ensembles (polygonal forms) under \(\mathbb{O}(2)\) symmetry. I: Two and three points ⋮ Deformations, isosymmetric manifolds, and higher dimensional form space symmetries for point ensembles (polygonal forms) under \(\mathbb{O}(2)\) symmetry. II: Four points ⋮ Counting, types and symbols of crystallographic point symmetry operations of space \(\mathbf E^ n\)

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