Systematicity of descriptive geometry as a conceptual basis of its fundamentality

Abstract

EN: The world of Nature as a boundless and immeasurable environment of the thinking man, created wisely and expediently, constantly arouses in him the desire to know its secrets in order to use them to create nature-relevant objects, processes and phenomena. The diversity of natural objects for cognition has divided people into their types according to their cognitive interests in these objects, each of which has only its own properties. But, despite their fundamental differences, there is a common universal property among them as the main subject of study − their morphology, which reveals the secret of their composition, building, construction or structure. As a result of morphological research, representatives of various natural sciences have reached the indisputable idea that there is nothing elementary in the world, that any object is a complex system of elements that combines into a single whole, integrating the shape of the local part of space which they occupy. However, the world in which we live is a very complex system of interconnected worlds of natural nature and the artificial environment created by man from the material of nature, and this creation is impossible without a systematic understanding of the structure of these objects, which underlies their design. Therefore, the idea of the whole system of everything natural should form the basis for the creation of everything artificial on the basis of a deep understanding of the peculiarities of its structure and the constructive properties of the connections and relations between its elements. If by artificial we mean objects of construction and architecture, the creation of which is preceded by their design and engineering as a mental experimentation with creative images of their elements and connections between them, information about the results of which are encoded on paper by graphic dots and lines, the conceptual basis of descriptive geometry should be the paradigm of their systematic understanding as graphical models of systematic geometric representation of their authors and designed project. In this case, it becomes a natural science as the geometry of pictorial space, the elements of which are reversible projection images, which axiomatically describe their pictorial properties, containing information about the position and metrics of the object, which is necessary and sufficient for its construction in real life. The problem of this study is to prove the need to modernize the geometric and graphic education of school and student youth through the introduction into their consciousness of understanding the nature of design objects as complex systems of interconnected elements, and its design drawings − as image systems of its interconnected elements, connected by graphical models of interconnections and relations between them.