Double-Helix Tensegrity Structures

This paper describes a class of tensegrity systems that are formed from a common type of connectivity, having a double-helix configuration. Structures made from such internal patterns will be called a double-helix tensegrity. This paper derives the connectivity matrix for the double-helix tensegrity class of structures. This generalized common mathematical formulation will allow efficient computations for a large class of tensegrity systems, which can have many different configurations, albeit employing the same rules for connecting components. Special cases of these configurations include torus, cylinders, paraboloids, spheres, ellipsoids, and other configurations.