This monograph briefly describes the properties of Euclidean geometry and Riemannian geometry. The significance of the genetic code in connection with the established laws of transmission of hereditary information in the polytope of hereditary information and their sequence in the chain of nucleotides is discussed. Information processes in living matter play a significant role in ensuring the sustainable existence of living organisms. In this regard, the monograph pays great attention to the study of information flows in polytopes of the highest dimension, which are biomolecules. It is shown that the higher the dimensionality of the polytope, the more powerful the information flow it has. This allows living organisms to create reliable protection against harmful external influences (for example, from viruses). In general, the monograph represents a new worldview of nature and life on Earth, which is based on the highest dimension of the molecules of chemical compounds.