Of automated fractal shape drawing software for manufacturing enterprises based on kaleidoscopic repeated function system

Research geometric modeling of objects with a complex fractal structure using the basic concepts of geometry done increased Given that dynamic systems have several steady states, it is studied that the state of a dynamic system depends on its initial state after several steps of iterations. Algorithms for constructing complex fractal shapes have been developed based on the kaleidoscopic repeated function system. If the two-dimensional space is phased, it is justified by the obtained results that it is possible to obtain color phase images of these systems by painting the sphere of attraction points with different colors. Using the color selection algorithm, a software tool has been developed that allows you to obtain different types of fractal images in a short time. Using this software, it is possible to create circular, polygonal, and spiral fractals from geometric shapes.