Polytopes vibrations within Coxeter group symmetries

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00307021" target="_blank" >RIV/68407700:21340/16:00307021 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1140%2Fepjb%2Fe2016-60891-2" target="_blank" >http://link.springer.com/article/10.1140%2Fepjb%2Fe2016-60891-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjb/e2016-60891-2" target="_blank" >10.1140/epjb/e2016-60891-2</a>

Result language
angličtina
Original language name
Polytopes vibrations within Coxeter group symmetries
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BI - Acoustics and oscillation
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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