## Tensegrity

Tensegrity is an architectural principle in which both compressive and tensile forces are employed to create a static structure. The word is an amalgamation of *tension* and *integrity*.

### Sculpture

Tensegrity is not typically employed in architecture, though there are a few examples. More commonly, tensegrity manifests as sculptures. Kenneth Snelson (Wiki, Personal Website) is perhaps the best known creator of tensegrity structures, and either created or played a pivotal role in the development of the concept.

I became seriously interested in tenesgrity in 2013 and have been building the physical structures as well as developing methods to perform the calculations necessary to build them since then. Shown here are several tensegrity structures that I have constructed based on simulations.

### Simulation

Constructing tensegrity models requires calculation of the strut and tendon lengths. My current approach is to model the system as a spring-mass system with stiff and weak springs corresponding to struts and tendons, respectively.

The following video illustrates the entire process:

### Polyhedra-Induced Tensegrities

Tensegrity structures come in many forms. One way of creating the structures is based on a derivation from polyhedra. The edges of the polyhedron are converted to struts, and adjacent struts are connected if the vertices of their parent edges were either the same, or adjacent vertices.

What follows are some examples of tensegrities derived from various polyhedra with various configurations.

Tetrahedron |

Octahedron |

Icosahedron |

Truncated Tetrahedron |