What is Gonohedron

The question of the existence of regular-faceted polytopes of higher dimension is investigated. To construct regular-faceted polytopes of the highest dimension, the results of the study of regular-faceted three-dimensional polyhedrons, carried out by the author, were used, in particular the regular-faceted polyhedrons discovered by the author with a large number of gonohedrons of various types. These polyhedrons, due to their sharp difference from the Archimedes bodies and the diversity of the type of vertices, are called polytypichedrons, and the polyhedron containing the maximum possible number of different types of vertices (six) is called the polytypichedron-max. The method of obtaining polytopes of the highest dimension from them by multiplying them by geometric elements of various dimensions (including the highest dimension) is applied to the polytypichedrons. This is how, in principle, an infinite set of polytopes of the highest dimension with regular two-dimensional edges and the participation of vertices of various types was obtained.