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94 (0,079s)

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Modelling of Electron Backscatter Diffraction Patterns of Quasicrystals

Modelling of Electron Backscatter Diffraction Patterns of Quasicrystals.

BM - Fyzika pevných látek a magnetismus

  • 2007
  • D
Result

Quasicrystals: algebraic, combinatorial and geometrical aspects

The paper presents mathematical models of quasicrystals with particular attention given to cut-and-project sets. We summarize the properties of higher-dimensional quasicrystal models and then focus on the one-dimensional ones. For t...

BA - Obecná matematika

  • 2007
  • C
Result

Quasicrystal-crystal structural transformation in Al-5wt% Mn alloy

Quasicrystal-crystal structural transformation in Al-5wt% Mn alloy...

JG - Hutnictví, kovové materiály

  • 2007
  • Jx
Result

Exploring reciprocal space of a quasicrystal by means of an imaging plate.

A monochromatic Laue technique is used to extract information about the reciprocal lattice of a quasicrystal.

BH - Optika, masery a lasery

  • 1999
  • Jx
Result

Linear mappings as self-similarities of mathematical models of quasicrystals

-dimensional mathematical quasicrystal related to the Pisot number $1+2cos frac{2pi }{7. Moreover, it is shown that there exists a connection between the planar quasicrystal and higher-dimensional quasicrystal with 7-fold s...

Mathematics

  • 2019
  • D
  • Link
Result

Description of Voronoi tiles in quasicrystals withoctagonal symmetry

We describe families of Voronoi tiles which appear in tilings of certain standard quasicrystal-like point sets with octagonal symmetry built using the cut-and-project construction....

Mathematics

  • 2019
  • D
  • Link
Result

Beta-integers and Quasicrystals

Beta-integers were defined as a generalization of integers by Alfred Renyi in 1957. Besides mathematicians, this structure attracted attention of crystallographers who found out that beta-lattices are convenient for description of quasicrystals

BE - Teoretická fyzika

  • 2010
  • Jx
Result

Image Sampling with Quasicrystals

We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete of the algebraic theory of cut-and-project quasicrystals based on the geome...

BA - Obecná matematika

  • 2009
  • Jx
Result

Thermal stability of Al-Cu-Fe quasicrystals prepared by SHS method

Quasicrystal-containing materials are usually prepared by rapid solidification of the melt (e.g. by melt spinning) or mechanical alloying. In this work, the method using exothermic reactions between compressed metallic powders called SHS (Se...

JG - Hutnictví, kovové materiály

  • 2012
  • D
Result

Application of quasicrystals to data processing

We propose a data processing method based on properties of quasicrystals and apply it to bitmap images. The method uses the mapping between the physical and internal spaces of a quasi-crystal to uniformly distribute the part of data that is ...

Pure mathematics

  • 2024
  • D
  • Link
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