Layer-by-layer growth of vertex graph of Penrose tiling


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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.

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A. Shutov

Vladimir State University

Email: andr_mal@mail.ru
俄罗斯联邦, Vladimir, 600000

A. Maleev

Vladimir State University

编辑信件的主要联系方式.
Email: andr_mal@mail.ru
俄罗斯联邦, Vladimir, 600000

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