“Curved Support Structures and Meshes with Spherical Vertex Stars” by Kilian, Wang, Schling, Schikore and Pottmann


Entry Number: 53


    Curved Support Structures and Meshes with Spherical Vertex Stars



    The computation and construction of curved beams along freeform skins pose many challenges. We show how to use surfaces of constant mean curvature (CMC) to compute beam networks with beneficial properties, both aesthetically and from a fabrication perspective. To explore variations of such networks we introduce a new discretization of CMC surfaces as quadrilateral meshes with spherical vertex stars and right node angles. The computed nonCMC surface variations can be seen as a path in design space – exploring possible solutions in a neighborhood, or represent an actual erection sequence exploiting elastic material behavior.


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    This work was supported by SFB-Transregio program Geometry and Discretization (FWF grant no. I 2978) and by the project Geometry and Computational Design for Architecture and Fabrication at Vienna University of Technology.