Topology generation of architectural meshes adapted to the support conditions

Abstract

Topology of grids is a key aspect in the design of architectural structures: the beams’ connectivity is related to the structure’s geometry and influences its performance. This article proposes a new method for generating a space of quad mesh topologies controlled by continuous parameters on the boundary. It uses gradient and contour lines on minimal surfaces; this surface and network are chosen for the properties of the resulting architectural grids: beams converge to the support are aligned to the boundary and intersect at right angles. The types of generated topologies (number and indices of singularities and poles) as well as the conditions of application are detailed. The potential of this method is illustrated using various types of architectural boundaries (convex and non-convex, with one or multiple boundary components). Finally, the design of a timber pavilion demonstrates how this tool can be integrated into a design process subject to fabrication constraints.