Email this article Layer-by-Layer Growth of Ammann-Beenker Graph
- Authors: Shutov A.V.1, Maleev A.V.1
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Affiliations:
- Vladimir State University
- Issue: Vol 64, No 6 (2019)
- Pages: 851-856
- Section: Theory of Crystal Structures
- URL: https://journals.rcsi.science/1063-7745/article/view/194271
- DOI: https://doi.org/10.1134/S1063774519060191
- ID: 194271
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Abstract
The layer-by-layer growth of Ammann-Beenker graph (a quasi-periodic graph with eightfold symmetry) has been experimentally and theoretically studied. The limiting form for the growth of Ammann-Beenker graph is established in the form of a regular octagon, whose vertices are found explicitly. The lower and upper bounds of this form, which coincide with the growth form, are proven rigorously.
About the authors
A. V. Shutov
Vladimir State University
Email: andr_mal@mail.ru
Russian Federation, Vladimir, 600000
A. V. Maleev
Vladimir State University
Author for correspondence.
Email: andr_mal@mail.ru
Russian Federation, Vladimir, 600000
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