Parametric design and geometric optimization for deployable domes based on the icosahedron frequency with hexagonal modules

Abstract

The systems of deployable structures domes with straight bars are directly related to the geometry of solids. They are lightweight, modular, and transformable systems. This research relates to the design of deployable structures with articulated straight bars, with the purpose of being habitable and offering a solution to the light and traditional architecture. In particular, it refers to the design of deployable domes with articulated straight bars, starting from the transformation of the icosahedron using deployable hexagonal modules. With the possibility of changing its scale when increasing its frequency. In addition, has aims at a parametric design method for deployable domes or shells with straight bars of equal articulated dimension, stabilized with a flexible or rigid architectural covering. The process is defined as quick assembly. The optimization method employed is based on transforming the icosahedron and varying its frequencies. The process consists of optimizing deployable hexagonal modules with bars of equal length following geodesic patterns. Using visual programming algorithms using Rhinoceros + Grasshopper, geometric optimization results are achieved with deployable hexagonal modules applied to different dome frequencies. The system offers efficient solutions to temporary shelters, portable greenhouses, scenarios for medium and large-scale events, and everything related to light and transformable architecture.