Sierpinski''s triangle as a convenient mathematical model for describing the universal system of tripling periods
The concept of a fractal has become firmly embedded in modern science. Fractals are used for a simplified description of a number of complex processes and objects. The Sierpinski triangle turned out to be a promising mathematical model that provided so formal description and further investigation of the nature of the phenomenon of the universal period-tripling system. The logarithms of the periods of the system under study uniformly fill the range between the Planck and cosmological time scales. In this article, we point out the regularity in triplicates of periods that unites the turning points of evolution in this range of scales, and we emphasize the same regularity of the process of growing the Sierpinski triangle. The effectiveness of modeling the universal period-tripling system through the Sierpinsky triangle is illustrated by the example of a biological cognitive experiment performed over a wide range of periods and successfully covering the moment of sharp simplification of the shape of the growing fractal. Additional evidence that the Sierpinski triangle is a good model of the universal period-tripling system, we expect to receive in special experiments, as well as by improving the existing model of the phenomenon.