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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-21 20:12 |
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Conference: Bucharest University Faculty of Physics 2008 Meeting
Section: Theoretical Physics and Applied Mathematics Seminar
Title:
Symmetry properties of Penrose type tilings
Authors:
Nicolae Cotfas
Affiliation:
Faculty of Physics, University of Bucharest
E-mail
ncotfas@yahoo.com
Keywords:
Quasicrystals, Penrose tiling, self-similarities
Abstract:
The Penrose tiling is directly related to the atomic structure of certain decagonal quasicrystals and, despite its aperiodicity, is highly symmetric. It is known that the numbers $1$, $-\tau $, $(-\tau )^2$, $(-\tau )^3$, ... , where $\tau =(1+\sqrt{5})/2$, are scaling factors of the Penrose tiling. We show that the set of scaling factors is much larger, and for most of them the number of the corresponding
inflation centers is infinite.
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