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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… Click to show full 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.

Keywords: layer; penrose tiling; growth; graph penrose; vertex graph

Journal Title: Crystallography Reports
Year Published: 2017

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