Convex cover – formation of the name of the domed surface and a new wayof 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 a 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 Oх2and 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.