From graphs to tensegrity structures: Geometric and symbolic approaches

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M. de Guzmán
D. Orden
A form-finding problem for tensegrity structures is studied; given an abstract graph, we show an algorithm to provide a necessary condition for it to be the underlying graph of a tensegrity in $\mathbb{R}^d$ (typically $d=2,3$) with vertices in general position. Furthermore, for a certain class of graphs our algorithm allows to obtain necessary and sufficient conditions on the relative position of the vertices in order to underlie a tensegrity, for what we propose both a geometric and a symbolic approach.

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de Guzmán, M.; and Orden, D. “From graphs to tensegrity structures: Geometric and symbolic approaches”. Publicacions Matemàtiques, vol.VOL 50, no. 2, pp. 279-9, https://raco.cat/index.php/PublicacionsMatematiques/article/view/49968.