Tytuł pozycji:
Tiling Vertices and the Spacing Distribution of Their Radial Projection
- Tytuł:
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Tiling Vertices and the Spacing Distribution of Their Radial Projection
- Autorzy:
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Jakobi, T.
- Powiązania:
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https://bibliotekanauki.pl/articles/1373212.pdf
- Data publikacji:
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2014-08
- Wydawca:
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Polska Akademia Nauk. Instytut Fizyki PAN
- Tematy:
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45.30.+s
61.44.Br
- Źródło:
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Acta Physica Polonica A; 2014, 126, 2; 493-496
0587-4246
1898-794X
- Język:
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angielski
- Prawa:
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Wszystkie prawa zastrzeżone. Swoboda użytkownika ograniczona do ustawowego zakresu dozwolonego użytku
- Dostawca treści:
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Biblioteka Nauki
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Przejdź do źródła  Link otwiera się w nowym oknie
The Fourier-based diffraction approach is an established method to extract order and symmetry properties from a given point set. We want to investigate a different method for planar sets which works in direct space and relies on reduction of the point set information to its angular component relative to a chosen reference frame. The object of interest is the distribution of the spacings of these angular components, which can for instance be encoded as a density function on $ℝ_+$. In fact, this radial projection method is not entirely new, and the most natural choice of a point set, the integer lattice ℤ², is already well understood. We focus on the radial projection of aperiodic point sets and study the relation between the resulting distribution and properties of the underlying tiling, like symmetry, order and the algebraic type of the inflation multiplier.