Abstract: A support structure for curved envelope geometries, such as buildings and shipbuilding, that at least sectionally approximates a freeform surface, includes longitudinal connection elements and surface elements spanned by the connection elements. The surface elements are implemented as single-curved strip elements whose curvature runs in the longitudinal direction of the strip elements. Adjacent strip elements are connected to one another along their longitudinal edges via the longitudinal connection elements.

Abstract: Supporting structure (8) for curved envelope geometries in buildings consisting of support elements (4) which are each combined to form N-sided polygons (N=3,4, . . . ) which span the envelope geometry and which each enclose a planar surface element (5), and the support elements (4) of adjacent N-sided polygons each form a common node region (3) in which the support elements (4) abut, and the plane of a surface element (5) and the respective planes of the surface elements (5) of two N-sided polygons which adjoin in non-parallel spatial directions lie in different planes in at least one portion of the envelope geometry.