摘要: In 1947 a young artist named Kenneth Snelson invented an intriguing structure: few sticks suspended rigidly in mid air without touching each other. It seemed like magic trick. He showed this to the entrepreneur, builder, visionary, and self-styled mathematician, R. Buckminster Fuller, who called it tensegrity because of its “tensional integrity.” Fuller talked about tensegrities wrote them extensively. went on build great variety fascinating sculptures all over world, including 60-foot work art at Hirschhorn Museum Washington, DC. shown Figure.
springer.com
sci-hub.se 参考文章(27)
Robert Connelly, On Generic Global Rigidity. Applied Geometry And Discrete Mathematics. pp. 147- 156 ,(1990)
András Recski, Combinatorial Conditions for the Rigidity of Tensegrity Frameworks Springer, Berlin, Heidelberg. pp. 163- 177 ,(2008) , 10.1007/978-3-540-77200-2_8
Walter Whiteley, Rigidity and scene analysis Handbook of Discrete and Computational Geometry, Second Edition. pp. 893- 916 ,(2004) , 10.1201/9781420035315.CH60
Naomi Ehrich Leonard, Benjamin Nabet, Tensegrity Models and Shape Control of Vehicle Formations arXiv: Optimization and Control. ,(2009)
Robert Connelly, Walter Whiteley, None, Second-Order Rigidity and Prestress Stability for TensegrityFrameworks SIAM Journal on Discrete Mathematics. ,vol. 9, pp. 453- 491 ,(1996) , 10.1137/S0895480192229236
Bruce Hendrickson, Conditions for unique graph realizations SIAM Journal on Computing. ,vol. 21, pp. 65- 84 ,(1992) , 10.1137/0221008
Bill Jackson, Tibor Jordan, Zoltan Szabadka, Globally Linked Pairs of Vertices in Equivalent Realizations of Graphs Discrete and Computational Geometry. ,vol. 35, pp. 493- 512 ,(2006) , 10.1007/S00454-005-1225-8
Ethan Bolker, Ben Roth, When is a bipartite graph a rigid framework Pacific Journal of Mathematics. ,vol. 90, pp. 27- 44 ,(1980) , 10.2140/PJM.1980.90.27
Robert Connelly, Tibor Jordán, Walter Whiteley, None, Generic global rigidity of body-bar frameworks Journal of Combinatorial Theory, Series B. ,vol. 103, pp. 689- 705 ,(2013) , 10.1016/J.JCTB.2013.09.002
Walter Whiteley, Infinitesimally rigid polyhedra. I. Statics of frameworks Transactions of the American Mathematical Society. ,vol. 285, pp. 431- 465 ,(1984) , 10.1090/S0002-9947-1984-0752486-6