Email this article Layer-by-layer growth of vertex graph of Penrose tiling
- Authors: Shutov A.V.1, Maleev A.V.1
-
Affiliations:
- Vladimir State University
- Issue: Vol 62, No 5 (2017)
- Pages: 683-691
- Section: Theory of Crystal Structures
- URL: https://journal-vniispk.ru/1063-7745/article/view/191264
- DOI: https://doi.org/10.1134/S1063774517050194
- ID: 191264
Cite item
Open Access
Access granted
Subscription Access
Abstract
The growth form for the vertex graph of Penrose tiling is found to be a regular decagon. The lower and upper bounds for this form, coinciding with it, are strictly proven. A fractal character of layer-by-layer growth is revealed for some subgraphs of the vertex graph of Penrose tiling.
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
Supplementary files
