Patch frequencies in rhombic Penrose tilings

Mazáč J (2023)
Acta Crystallographica Section A Foundations and Advances 79(5): 13.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
Download
OA 2.51 MB
Abstract / Bemerkung
This exposition presents an efficient algorithm for an exact calculation of patch frequencies for rhombic Penrose tilings. A construction of Penrose tilings via dualization is recalled and, by extending the known method for obtaining vertex configurations, the desired algorithm is obtained. It is then used to determine the frequencies of several particularly large patches which appear in the literature. An analogous approach works for a particular class of tilings and this is also explained in detail for the Ammann–Beenker tiling.
Erscheinungsjahr
2023
Zeitschriftentitel
Acta Crystallographica Section A Foundations and Advances
Band
79
Ausgabe
5
Seite(n)
13
eISSN
2053-2733
Finanzierungs-Informationen
Open-Access-Publikationskosten wurden durch die Universität Bielefeld im Rahmen des DEAL-Vertrags gefördert.
Page URI
https://pub.uni-bielefeld.de/record/2981283

Zitieren

Mazáč J. Patch frequencies in rhombic Penrose tilings. Acta Crystallographica Section A Foundations and Advances. 2023;79(5):13.
Mazáč, J. (2023). Patch frequencies in rhombic Penrose tilings. Acta Crystallographica Section A Foundations and Advances, 79(5), 13. https://doi.org/10.1107/S2053273323004990
Mazáč, Jan. 2023. “Patch frequencies in rhombic Penrose tilings”. Acta Crystallographica Section A Foundations and Advances 79 (5): 13.
Mazáč, J. (2023). Patch frequencies in rhombic Penrose tilings. Acta Crystallographica Section A Foundations and Advances 79, 13.
Mazáč, J., 2023. Patch frequencies in rhombic Penrose tilings. Acta Crystallographica Section A Foundations and Advances, 79(5), p 13.
J. Mazáč, “Patch frequencies in rhombic Penrose tilings”, Acta Crystallographica Section A Foundations and Advances, vol. 79, 2023, pp. 13.
Mazáč, J.: Patch frequencies in rhombic Penrose tilings. Acta Crystallographica Section A Foundations and Advances. 79, 13 (2023).
Mazáč, Jan. “Patch frequencies in rhombic Penrose tilings”. Acta Crystallographica Section A Foundations and Advances 79.5 (2023): 13.
Alle Dateien verfügbar unter der/den folgenden Lizenz(en):
Creative Commons Namensnennung 4.0 International Public License (CC-BY 4.0):
Volltext(e)
Name
2.51 MB
Access Level
OA Open Access
Zuletzt Hochgeladen
2023-07-28T10:05:20Z
MD5 Prüfsumme
fb275676293f54292b3d564305f11380


Link(s) zu Volltext(en)
Access Level
OA Open Access

Export

Markieren/ Markierung löschen
Markierte Publikationen

Open Data PUB

Quellen

PMID: 37485825
PubMed | Europe PMC

Suchen in

Google Scholar