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Double-contour geodesic shells with pentahedral pyramids

Abstract

Double-contour geodesic shells with pentahedral pyramids

Lakhov A.Y.

Incoming article date: 01.10.2019

Geodesic domes are self-supporting spatial structures without additional supports. Geodesic lines are used when breakdown geodesic shells into elements. In this area, the development of geometric models of double-contour geodesic shells are performed. The features of these works are the use of trihedral and hexagonal pyramidal structures as the first contour. However, for the formation of such structures, pentahedral pyramids can also be used. The aim of the study is to develop a method, algorithm and software for a double-contour geodesic shell with pentahedral pyramids. To achieve this goal, the principle of duality, methods of analytical geometry in space and programming in the GDL language built into ArchiCAD were applied. As a result, a parametric ArchiCAD object of a two-contour geodesic shell with pentahedral pyramids was developed. It can be used in architectural and structural design of unique buildings.

Keywords: geodesic dome, double-contour geodesic shell, duality principle, parametric ArchiCAD object, the programming language of GDL