We introduce a framework for the generation of grid-shell structures that isbased on Voronoi diagrams and allows us to design tessellations that achieveexcellent static performances. We start from an analysis of stress on the inputsurface and we use the resulting tensor field to induce an anisotropicnon-Euclidean metric over it. Then we compute a Centroidal Voronoi Tessellationunder the same metric. The resulting mesh is hex-dominant and made of cellswith a variable density, which depends on the amount of stress, and anisotropicshape, which depends on the direction of maximum stress. This mesh is furtheroptimized taking into account symmetry and regularity of cells to improveaesthetics. We demonstrate that our grid-shells achieve better staticperformances with respect to quad-based grid shells, while offering aninnovative and aesthetically pleasing look.
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