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- Title
Patch frequencies in rhombic Penrose tilings.
- Authors
Mazáč, Jan
- Abstract
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.
- Subjects
WORKING class
- Publication
Acta Crystallographica. Section A, Foundations & Advances, 2023, Vol 79, Issue 5, p399
- ISSN
2053-2733
- Publication type
Article
- DOI
10.1107/S2053273323004990