DefinePK

Abstract

Geodesic domes are self-supporting spatial structures without additional support. When they are broken down into their elements, geodesic lines are used. In this area, the research into geometric models of double-contour geodesic shells is conducted. The features of these works include the use of trihedral and hexagonal pyramidal structures as the first contour of the geodesic shell. However, for the formation of such structures, tetrahedral pyramids can also be used. The purpose of this research is to develop methods, algorithms and software for double-contour geodesic shells with tetrahedral pyramids. To solve these problems, the duality principle was used, in addition to methods of analytic geometry and programming in language GDL embedded in ArchiCAD. As a result, the ArchiCAD parametric object of a double-contour geodesic shell with tetrahedral pyramids has been developed. This program can be used in the architectural and structural design of unique buildings.