Pentagonal quasicrystals and their linear self-similarities

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00336610" target="_blank" >RIV/68407700:21340/20:00336610 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1742-6596/1458/1/012010" target="_blank" >https://doi.org/10.1088/1742-6596/1458/1/012010</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/1458/1/012010" target="_blank" >10.1088/1742-6596/1458/1/012010</a>

Result language
angličtina
Original language name
Pentagonal quasicrystals and their linear self-similarities
Original language description
We recall the construction of a cut-and-project scheme providing planar model sets with 5-fold symmetry. The cut-and-project construction consists in projecting points of a lattice L c R^4 by two orthogonal projections π_p , π_o to two 2-dimensional subspaces. We describe the set of all linear mappings preserving the Z-modules π_p(L) and π_o(L) as and show that the set of all such mappings is in one-to-one correspondence with a 2-dimensional cut-and-project set. Finally, we describe linear self-similarities of a pentagonal cut-and-project set with circular acceptance window.
Czech name
—
Czech description
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Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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