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From graphs to tensegrity structures: Geometric and symbolic approaches
Preprint
19 April 2004
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Abstract
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.