Convex cover - formation of the name of the domed surface and a new way of designing the surface

Abstract

In the article we examined the origin of the name of the dome and its connection with the sunny surface of the yurt. The new design of the dome surface is also shown. In this study, using a graphical model of the biquadrate transformation, each point of the transformed line, i.e. n of the prototype, is transformed into points forming a cross-section of the dome surface, while the transformed line gives a cross-section of the surface of the Sun. Then we rotate this section of the found dome surface relative to the vertical section Oх₂ and get the desired dome surface. When designing a removable dome surface, the format and dimensions of the section are set in accordance with the preliminary requirements. Thus, the biquadrate transformation method that we propose when designing a section of a domed surface, that is, a project of a domed curved surface, is practical and simple for designers. The proposed method in its simplicity is designed to solve various similar curved surfaces and engineering problems.