In other words, we view a fully periodic set, or 'crystal', as a special kind of 'quasicrystal'.
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One of the commonly used definitions of aquasicrystalis that of an atomic structure which has a discrete component in its diffraction spectrum.
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In particular, they can be viewed as a mathematical abstraction of the set of atomic positions of a physicalquasicrystal(at zero temperature, or at a given instant of time).
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Does there exist a nice characterization of the 'simplest' aperiodic sets, which might be used to define a notion of 'perfectly orderedquasicrystal'?
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This naturalquasicrystalexhibits high crystalline quality, equalling the best artificial examples.
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Its underlying symmetry is also fivefold but it is not aquasicrystal.
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Glotzer and collaborators also hold the record for the densest tetrahedron packing and discovered that hard tetrahedrons can self-assemble into a dodecagonalquasicrystal.
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It forms an aperiodic pattern known as aquasicrystal.
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In order that thequasicrystalitself be aperiodic, this slice must avoid any lattice plane of the higher-dimensional lattice.
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Using mathematics for construction and analysis ofquasicrystalstructures is a difficult task for most experimentalists.
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For a periodicquasicrystalapproximant with an 82-tetrahedron unit cell, they obtained a packing density as high as 85.03%.
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Recently, he has helped develop a photonicquasicrystal(thequasicrystalanalogue of a photonic crystal) for efficiently trapping and manipulating light in selected wavebands.
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For a periodic crystal (as opposed to aquasicrystal), the group must also be consistent with maintenance of the three-dimensional translational symmetry that defines crystallinity.
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They are remarkable by containing micrometre-sized grains of icosahedrite, a naturally occurringquasicrystalaperiodic, yet ordered structure.
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Its discovery followed a 10-year-long systematic search by scientists to find the first naturalquasicrystal.
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