A Re-Parameterization Approach for the Construction of domes with planar facets

Romain Mesnil (1)

1 navier umr 8205 - Laboratoire Navier

The aim of this article is to propose parameterization with planar facets of dome structures. The technique introduced in this paper starts from an input parameterization and creates a dual pattern with planar quadrilateral facets. The derivation of the analytical solution allows to link the method with the creation of meshes with planar hexagonal facets and of circle packing on spheres. The method can be used in various contexts and allows designers to design with two superimposed parameterizations, which allows for a potential decoupling between structure and envelope.

Keywords: Structural Morphology; Constructive geometry; Fabrication-aware design; PQ-Mesh; gridshell

Domains: Structures

Romain Mesnil. A Re-Parameterization Approach for the Construction of domes with planar facets. Journal of the International Association for Shell and Spatial Structures, 2018, 59 (4), ⟨10.20898/j.iass.2018.198.016⟩. ⟨hal-02002854⟩