Fractal Properties of Quasicrystalline Penrose Tiling Synthesis

The synthesis of decagonal Penrose tiling by a pair of decagons – starlike and dorsal is considered in this paper. The synthesis procedure is realized according to morphogenetic growth model. It is shown that procedure which controls the synthesis process is just chaotic, but not stochastic. The fractal properties of Penrose tiling synthesis procedure are studied. It is revealed that all characteristics via the morphogenetic fronts have oscillatory-wave behavior. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3612