Аннотации:
Fractal structures of regular pentagonal stars are proposed. Some of these structures are detected in Penrose tiling. The fractals are based on generalized stars, whose vertices generate the centers of smaller size stars. There are two possible orientations of generalized stars interrelated by the operation of inversion in a point. The generalized stars to initial star linear sizes ratios are equal to integer degrees of golden mean. © 2012 Pleiades Publishing, Ltd.