Abstract
The article considers the periodic table of chemical elements, and that it is a graphic representation of the periodic law, although more than 150 years have passed since the opening of the periodic law, there is no precise formulation of the mathematical formula of this law. The formulas presented in the article are difficult to summarize the periodic law, they are difficult to understand, so the goal of the study is to derive a simplified mathematical equation and formulate a periodic law based on an analysis of the literature and its data on periodic changes in the properties of chemical elements and their compounds. The object of study is the 32-cell version of the periodic table, which does not break the table into parts with the introduction of lanthanides and actinoids into the lower part of the table. It best shows how periods are similar and the main physical and chemical properties of elements in groups, as well as how often they happen, when subscripts (lanthanides and actinides) are put together in a single table that matches the natural ordinal number of where these elements are in periods. The definitions of periodic law are compared, and the work of research scientists is analyzed. This article provides suggestions on how to fill such inconsistencies. Nowadays, there are more than 700 variants of the graphic construction of Periodic Table; the most recognized is IUPAC.