RT Journal Article T1 Control of geometry and stability of tensegrities in the Octahedron and X-Octahedron families A1 Carbonell-Márquez, Juan Francisco A1 Fernández Ruiz, Manuel Alejandro A1 Hernández-Montes, Enrique A1 Gil-Martín, Luisa María K1 Materiales K1 Geometría K1 Ingeniería de estructuras K1 Análisis estructural (Ingeniería) AB Tensegrity structures obtained from the same connectivity patterns are said to belong to families. The Octahedron and X-Octahedron families are examples of these. In the literature, little attention has been paid to how the final geometries of the equilibrium forms of the members of both families are obtained. A compact formulation for controlling the equilibrium shapes of members of the Octahedron and X-Octahedron families is proposed in this article allowing the designer to get any geometry for the super-stable members of both families. Controlling the stability of folded forms is achieved by using the shape of the structure, and a detailed explanation of the formulation is provided here, as well as several examples that clarify the formulation. The geometrical control of the equilibrium shape is fundamental when applying it to tensegrity structures in an engineering context. PB Elsevier YR 2024 FD 2024 LK https://hdl.handle.net/10630/33124 UL https://hdl.handle.net/10630/33124 LA eng NO J.F. Carbonell-Márquez, M.A. Fernández-Ruiz, E. Hernández-Montes, L.M. Gil-Martín, Control of geometry and stability of tensegrities in the Octahedron and X-Octahedron families, Computers & Structures, Volume 305, 2024, 107547, ISSN 0045-7949, https://doi.org/10.1016/j.compstruc.2024.107547 NO Funding for open access charge: Universidad de Málaga / CBUA. The present paper was financed by the Ministry of Science, Innovation and Universities of Spain under the research projects with references PID2023-150724OB-C21 and PID2023-150724OA-C22. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 19 ene 2026