Advancements and challenges in the design and implementation of tensegrity networks of zero mean curvature

The research on tensegrity structure for architectural applications, has been intricately tied to the advancement of both lightweight conventional and temporary structures. The morphological exploration of tensegrity structures is expected to significantly contribute to their application in the fields of building design and construction. This paper is focused on novel configurations of double layer tensegrity networks the two layers of which are minimal surfaces. These minimal surface tensegrity structures that can be defined as zero mean curvature tensegrity networks, constitute a novel category that presents significant advantages in their practical application. The investigation of the geometric properties of these networks/structures has resulted in a set of algorithms that address distinct configurations of tensegrity structures the two layers of which are of helical, catenoid or enneper shape. These algorithms were applied and tested in the process of designing and constructing tensegrity structures with the aforementioned characteristics. For the implementation of the algorithms, a method that permits the construction of double layer tensegrity structures from the assembly of collapsible tensegrity units was employed. Case studies of space enclosure or space covering zero mean curvature tensegrity networks that utilize all developed algorithms and processes, and the way spatial constraints and constructability challenges were addressed, are presented and discussed in the paper. The realization of these structures has substantiated the validity of the algorithms, and the challenges encountered provide valuable insights for refining both the design algorithms and the methods employed in construction and assembly.