What is N-Cube

For the first time it was established that for any convex polytope of higher dimension there is an integral equality in the transfer of information from low-dimensional elements to higher-dimensional elements and vice versa. This integral equality is called the law of conservation of incidents. In previous works of the author, this law was established for some polytopes of a particular kind. There is the incidence interpreted as the transfer of information from one material body to another. It is shown that the law of conservation of incidents is valid for both regular bodies and irregular bodies, which can be clusters of chemical compounds. The incident conservation law can serve as a mathematical basis for the recently discovered epigenetic principle of the transmission of hereditary information without changing the sequence of genes in DNA and RNA molecules.