Tensegrity structures are structures where there are, typically, a few struts and many links, which are nevertheless stable structures. This paper considers structures where the platform and base are regular planar n-gons, with the appropriate connections and derives a very simple formula for their realizeable/unique construction. The effects of changing a single length can also be studied.
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References
1.
International Journal of Space Structures, v7,#2,1992. This is an edition devoted entirely to tensegrity structures.
2.
Hugh Kenner, Geodesic Math and how to use it, 1976, Univ Calif Press.
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RothB.WhiteleyW., Tensegrity Frameworks, Trans Am. Math. Socv265, #2, 1981 p419–446.
4.
Anthony Pugh, Introduction to Tensegrity, Univ Calif Press, 1976.