With the emergence of new tools and media, art and design have developed into digital computer-generated works. This article presents a sequence of creating art graphics because their original authors have not published the procedures. The goal is to discover the mathematics of an image and the programming libretto with the purpose of organizing a structural base of computer graphics. We will elaborate the procedures used to produce graphics known throughout the history of art, but that are nowadays also found in design and security graphics. The results are closely related graphics obtained by changing parameters that initiate them. The aim is to control the graphics, i.e. to use controlled stochastic to achieve desired solutions. Since the artists from the past have never published the procedures of screening methods, their ideas have remained “only” the works of art. In this article we will present the development of the algorithm that, more or less successfully, simulates those screening solutions. It has been proven that mathematically defined graphical elements serve as screening elements. New technological and mathematical solutions are introduced in the reproduction with individual screening elements to be used in printing.