Layer-by-layer growth of vertex graph of Penrose tiling
Антон Владимирович Шутов, Andrey V. Maleev · Crystallography Reports · 2017
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.