Linear mappings as self-similarities of mathematical models of quasicrystals

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00331536" target="_blank" >RIV/68407700:21340/19:00331536 - isvavai.cz</a>
Výsledek na webu
<a href="http://dx.doi.org/10.1088/1742-6596/1194/1/012005" target="_blank" >http://dx.doi.org/10.1088/1742-6596/1194/1/012005</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/1194/1/012005" target="_blank" >10.1088/1742-6596/1194/1/012005</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Linear mappings as self-similarities of mathematical models of quasicrystals
Popis výsledku v původním jazyce
In this paper an overview of the so-called cut-and-project method is presented together with new results on the construction of a cut-and-project set with a given linear diagonalizable self-similarity A. Such a construction is illustrated on a two-dimensional mathematical quasicrystal related to the Pisot number $1+2cos frac{2pi }{7}$. This model is described in detail and the associated Voronoi tilling is discussed. Moreover, it is shown that there exists a connection between the planar quasicrystal and higher-dimensional quasicrystal with 7-fold symmetry.
Název v anglickém jazyce
Linear mappings as self-similarities of mathematical models of quasicrystals
Popis výsledku anglicky
In this paper an overview of the so-called cut-and-project method is presented together with new results on the construction of a cut-and-project set with a given linear diagonalizable self-similarity A. Such a construction is illustrated on a two-dimensional mathematical quasicrystal related to the Pisot number $1+2cos frac{2pi }{7}$. This model is described in detail and the associated Voronoi tilling is discussed. Moreover, it is shown that there exists a connection between the planar quasicrystal and higher-dimensional quasicrystal with 7-fold symmetry.

Projekt
<a href="/cs/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Centrum pokročilých aplikovaných přírodních věd</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění
2019
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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