Point-supported structures are tensile structures with at least four points of attachment with either straight or curved edges that produce a clear span avoiding a center mast. An exterior frame, adjacent building, or perimeter masts support the fabric. The classic point-supported structure is the saddle shape or hypar. Shapes vary depending on the number of anchor points and the position of the supporting elements, however, double curvature is essential. Several point-supported structures can share a common mast.