Polytopes vibrations within Coxeter group symmetries

Goce Chadzitaskos, Jiří Patera and Marzena Szajewska ()
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Goce Chadzitaskos: Faculty of nuclear sciences and physical engineering, Czech Technical University in Prague
Jiří Patera: Centre de recherches mathématiques, Université de Montréal
Marzena Szajewska: Institute of Mathematics, University of Bialystok

The European Physical Journal B: Condensed Matter and Complex Systems, 2016, vol. 89, issue 5, 1-7

Abstract: Abstract We are considering polytopes with exact reflection symmetry group G in the real 3-dimensional Euclidean space R3. By changing one simple element of the polytope (position of one vertex or length of an edge), one can retain the exact symmetry of the polytope by simultaneously changing other corresponding elements of the polytope. A simple method of using the symmetry of polytopes in order to determine several resonant frequencies is presented. Knowledge of these frequencies, or at least their ratios can be used for control of some principal changes of the polytopes.

Keywords: Solid; State; and; Materials (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1140/epjb/e2016-60891-2

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