Tensegrity frameworks

Transactions of the American Mathematical Society

Volumn 265, Issue 2, 1981, Pages 419-446

  Roth1, B ^a,c   Whiteley, W ^b,c  

^a UNIVERSITY OF WYOMING   (United States)

^b Champlain Regional College   (Canada)

^c UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84968494852     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-1981-0610958-6     Document Type: Article

References (15)

1. L. Asimow and B. Roth, The rigidity of graphs, Trans. Amer. Math. Soc. 245 (1978), 279-289.
2. L. Asimow and B. Roth, The rigidity of graphs. II, J. Math. Anal. Appl. 68 (1979), 171-190.
3. E. Bolker and B. Roth, When is a bipartite graph a rigid frameworks, Pacific J. Math 90 (1980), 27-44.
4. C. R. Calladine, Buckminster Fuller's “tensegrity" structures and Clerk Maxwell's rules for the construction of stiff frames, Internat. J. Solids and Structures 14 (1978), 161-172.
5. R. Connelly, The rigidity of certain cabled frameworks and the second order rigidity of arbitrarily triangulated convex surfaces, Adv. in Math. 37 (1980), 272-299.
6. R. B. Fuller, Synergetics: Explorations in the geometry of thinking, Macmillan, New York, 1975.
7. H. Gluck, Almost all simply connected closed surfaces are rigid, Geometric Topology, Lecture Notes in Math., vol. 438, Springer-Verlag, Berlin, 1975, pp. 225-239.B. Grünbaum, Convex poly topes, Wiley, New York, 1967.
8. B. Grünbaum and G. Shephard, Lectures in lost mathematics, mimeographed notes, Univ. of Washington.
9. J. Milnor, Singular points of complex hypersurfaces, Ann. of Math. Studies, no. 61, Princeton Univ. Press, Princeton, N. J., 1968.
10. R. T. Rockafellar, Convex analysis, Princeton Univ. Press, Princeton, N. J., 1970.
11. B. Roth, Rigid and flexible frameworks, Amer. Math. Monthly 88 (1981), 6-21.
12. W. Whiteley, Introduction to structural geometry. I, Infinitesimal motions and infinitesimal rigidity (preprint).
13. W. Whiteley, Introduction to structural geometry. II, Statics and stresses (preprint).
14. W. Whiteley, Infinitesimally rigidpolyhedra (preprint).
15. W. Whiteley, Motions, stresses and projected polyhedra (preprint).