Octahedron family: the double-expanded octahedron tensegrity Fernández Ruiz, Manuel Alejandro Hernández Montes, Enrique Carbonell Márquez, Juan Francisco Gil Martín, Luisa María Tensegrity Octahedron family Analytical form-finding Force density method Es un preprint 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. 2018-09-26T09:05:06Z 2018-09-26T09:05:06Z 2018 journal article http://hdl.handle.net/10481/52954 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ open access Atribución-NoComercial-SinDerivadas 3.0 España