From graphs to tensegrity structures: geometric and symbolic approaches
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Autores: David Orden Martín
, Miguel de Guzmán Ozámiz
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 50, Nº 2, 2006, págs. 279-299
- Idioma: español
- DOI: 10.5565/publmat_50206_02
- Enlaces
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Resumen
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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