RT journal article T1 Topological design of the octahedron tensegrity family A1 Fernández Ruiz, Manuel Alejandro A1 Hernández-Montes, Enrique A1 Gil-Martín, Luisa María A2 Ingeniería Industrial e Ingeniería Civil K1 Tensegrity K1 Octahedron family K1 Analytical form-finding K1 Force density method AB Tensegrity structures have developed greatly in recent years due to their unique mechanical and mathematicalproperties. In this work, the topology of the Octahedron family is presented. New tensegrity structures thatbelong to this family are defined based on their topology. As an example, the eleven-time-expanded octahedron isshown, a super-stable tensegrity formed by 12,288 nodes, 6,144 struts, and 24,576 cables (the largest superstabletensegrity reported in the literature in terms of number of nodes, cables, and struts so far). The valuesof the force:length ratios which satisfy the super-stability conditions have also been determined based on thetopology of the Octahedron family. Consequently, the computational cost of the process of determining a suitableprestress state and its corresponding equilibrium shape (a process called form-finding) is significantly reduced.The members of the Octahedron family could have promising engineering and bioengineering applications. PB ELSEVIER SN 0141-0296 YR 2022 FD 2022-05 LK http://hdl.handle.net/10498/26578 UL http://hdl.handle.net/10498/26578 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026