RT Journal Article T1 Octahedron family: The double-expanded octahedron tensegrity. A1 Fernández Ruiz, Manuel Alejandro A1 Hernández-Montes, Enrique A1 Carbonell-Márquez, Juan Francisco A1 Gil-Martín, Luisa María K1 Ingeniería de estructuras AB The octahedron family of tensegrity structures is presented in this research. The octahedron and the expanded octahedron (well-known tensegrities in the literature) are the first and second components of the family. A new tensegrity is presented: the double-expanded octahedron. This new tensegrity form was obtained following the connectivity pattern of the octahedron family presented in this work. The values of the force densities or force:length ratios that satisfy the minimum required rank deficiency of the force density matrix were computed analytically. Two types of solutions are obtained: full and folded forms. Results show that each lower member of the octahedron family is a folded form of a superior member of this family. Several examples are shown. PB Elsevier YR 2019 FD 2019-01-19 LK https://hdl.handle.net/10630/28701 UL https://hdl.handle.net/10630/28701 LA eng NO Fernández-Ruiz, M. A., Hernández-Montes, E., Carbonell-Márquez, J. F., & Gil-Martín, L. M. (2019). Octahedron family: The double-expanded octahedron tensegrity. International Journal of Solids and Structures, 165, 1–13. NO University of Granada in the form of a Contrato Puente (postdoctoral fellowship) to the first author DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 4 mar 2026