Kinetic structures possess the unique ability to adapt their shape in response to both internal and external environmental conditions, as well as functional requirements. This study introduces a geometry-driven design and implementation of kinetic grid structures that harness straight and flat planks to weave asymptotic networks on negatively curved surfaces. The proposed approach strategically utilises the strong and weak bending axes of slender planks, capitalising on their elastic deformation capabilities to transform the overall geometry while maintaining high structural stability for external loads. The design features two interconnected families of planks, connected by scissor joints to form a doubly curved grid and a semi-compliant mechanism. A geometry-driven algorithmic workflow computes the geometries for subsequent service stages, seamlessly integrating the initial geometry design with kinetic behaviour. Three different kinetic asymptotic structures showcase the design approach and the architectural application of the novel system. Grounded in differential geometry, this method enables precise control of grid curvature and tracking of elastic strain energy throughout the transformation process. The construction of physical prototypes and corresponding finite element simulations validate the predicted transformation behaviour and demonstrate compatibility between digital and physical models. This advancement in kinetic behaviour offers new insights into transformable structures for adaptable buildings, broadening their potential applications within the field of architectural engineering.

Straight flat strips of inextensible material can be bent into curved strips aligned with arbitrary space curves. The large shape variety of these so-called rectifying strips makes them candidates for shape modeling, especially in applications such as architecture where simple elements are preferred for the fabrication of complex shapes. In this paper, we provide computational tools for the design of shapes from rectifying strips. They can form various patterns and fulfill constraints which are required for specific applications such as gridshells or shading systems. The methodology is based on discrete models of rectifying strips, a discrete level-set formulation and optimization-based constrained mesh design and editing. We also analyse the geometry at nodes and present remarkable quadrilateral arrangements of rectifying strips with torsion-free nodes.