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Dodecagonal quasicrystals: Construction of 2D lattices and demonstrations using laser pointers
Photographic slides of an aperiodic dodecagonal tiling were used as two-dimensional diffraction gratings to describe and demonstrate the basic properties of dodecagonal quasicrystals. This paper complements our earlier publication on Penrose (decagonal)
Vladimir M. Petrushevski +1 more
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This article is made available for reference. It was written following the March 2006 workshop "The World a Jigsaw: Tessellations in the Sciences" at the Lorentz Center, and due to be published in a book entitled "Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings" (eds R van de Weijgaert, G Vegter, J Ritzerveld ...
Grimm, Uwe, Kramer, Peter
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On Elastic Stability and Positive Definiteness for One-Dimensional Quasicrystals
In this work, a proper formulation of the elastic stability and positive definiteness of the elastic energy density of one-dimensional quasicrystals is provided. Based on an appropriate Voigt notation, the Sylvester criterion is applied and the necessary
Eleni Agiasofitou, Markus Lazar
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The structural understanding of crystallization in bulk metallic glasses (BMGs) has attracted much attention while rapid crystallization occurring under controllable conditions is less involved.
Bingge Zhao +6 more
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This Special Issue aims at gaining a deeper understanding on the relationship between the underlying structural order and the resulting physical properties in aperiodic systems, including quasicrystalline and related complex metallic alloys, photonic ...
Enrique Maciá Barber
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Superconductivity in a van der Waals layered quasicrystal
Van der Waals layered transition-metal chalcogenides are drawing significant attention owing to their intriguing physical properties. This group of materials consists of abundant members with various elements, having a variety of different structures ...
Yuki Tokumoto +6 more
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Quasicrystals and Other Aperiodic Structures in Mineralogy
In this article, we first present and discuss eighteenth-century descriptions of minerals that contributed decisively to the development of crystallography.
Carlos M. Pina, Victoria López-Acevedo
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Quasicrystals are a special class of metallic alloys that share some of the properties of crystals. Their structures reduce to a single repeating unit like that of the unit cell of a crystal.
Mauro Satta +6 more
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Homogeneous holographic viscoelastic models and quasicrystals
We show that the field theories dual to the homogeneous holographic models with spontaneously broken translations display several distinctive properties of quasicrystals, aperiodic crystals with long-range order (e.g., incommensurate charge density waves)
Matteo Baggioli
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Since the discovery of the quasicrystal, approximately 100 stable quasicrystals are identified. To date, the existence of quasicrystals is verified using transmission electron microscopy; however, this technique requires significantly more elaboration ...
Hirotaka Uryu +12 more
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