Simple and accurate representation of points in 4-dimensional space on a plane using vectors

Abstract

In this article, I narrow my task to the highest degree and do not even mention the various geometric systems and their combinations that make it possible to solve it; I focus exclusively on considering one single system of the 4th stage on the plane, which most directly corresponds to the essence of the matter. This system is a direct extension of the system of parallel vectors, namely, it is expanded in the sense that vectors, as elements of the system, do not have to be taken as parallel. It is clear that through this condition the system increases by a step, that is, it becomes precisely a system of the 4th step (corresponding to the geometry of the space of 4 dimensions).