References
Asimow, L., Roth, B.: The rigidity of graphs. Trans. Amer. Math. Soc.245, 279–289 (1978)
Asimow, L., Roth, B.: The rigidity of graphs II. J. Math. Anal. Appl. (to appear)
Bolker, E.D., Roth, B.: When is a bipartite graph a rigid framework? Preprint. Univ. of Laramie
Bottema, O.: Pentagons with equal sides and equal angles. Geometriae Dedicata2, 189–191 (1973)
Cauchy, A.J.: Sur les polygônes et polyèdres. Second Mémoire. J. École Polytechnique19, 87–98 (1813)
Chern, S.S.: “Studies in Global Geometry and Analysis”.4, M.A.A., 35–39 (1967)
Connelly, R.: The rigidity of certain cabled frameworks and the second order rigidity of arbitrarily triangulated convex surfaces. Advances in Math.37, No. 3, 272–299 (1980)
Crapo, H., Whiteley, W.: Plane stresses and projected polyhedra. Preprint. Univ. of Montreal, Jan. 1977
Egloff, W.: Eine Bemerkung zu Cauchy's Satz über die Starrheit konvexes Vielflache. Abh. Math. Sem. Univ. Hamburg20, 253–256 (1956)
Buckminster Fuller, R.: “Synergetics, Synergetics 2”. Macmillan, (1975) and (1979)
Gluck, H.: Almost all simply connected closed surfaces are rigid. Geometric Topology. Lecture Notes in Math. pp. 225–239, no.438, Berlin-Heidelberg-New York: Springer 1975
Grünbaum, B., Shephard, G.C.: Lectures on lost mathematics. Mimeographed notes, Univ. of Washington, Seattle, Washington
Langhaar, H.L.: Energy Methods in Applied Mechanics. Wiley 1962
Lyusternik, L.A.: “Convex Figures and Polyhedra” Dover, Trans. from Russian (1963)
Martin, H.C.: Introduction to Matrix Methods of Structural Analysis. McGraw-Hill 1966
Roth, B., Whiteley, W.: Tensegrity frameworks. Trans Amer. Math. Soc., pp. 419–446 (1981)
Schoenberg, I.J., Zaremba, S.K.: On Cauchy's Lemma Concerning Convex Polygons. Canad. J. of Math.19, 1062–1071 (1967)
Schur, A.: Über die Schwarzche Extremaleigenschaft des Kreises unter den Kurven konstantes Krümmung. Math. Ann.83, 143–148 (1921)
Šmakal, S.: Regular Polygons. Czechoslovak Math. J.28, (103) no. 3, 373–393 (1978)
Steinitz, E., Rademacher, H.: Vorlesungen über die Theorie der polyeder. Berlin-Heidelberg-New York: Springer (1934)
Stoker, J.J.: Geometrical Problems Concerning Polyhedra in the Large. Com. Pure and Appl. Math. Vol.XXI, 119–168 (1968)
Van der Waerden, B.L.: Ein Satz über räumliche Fünfecke. Elem. Math.25, 73–78 (1970)
Whiteley, W.: Conjectures on rigid frameworks, letter for A.M.S. special session on rigidity in Washington. D.C., October 1979
Whiteley, W.: Address at the special A.M.S. session on rigidity in Syracuse. Dec. 1978
Author information
Authors and Affiliations
Additional information
Partially supported by NSF Grant number MCS-7902521
Rights and permissions
About this article
Cite this article
Connelly, R. Rigidity and energy. Invent Math 66, 11–33 (1982). https://doi.org/10.1007/BF01404753
Issue Date:
DOI: https://doi.org/10.1007/BF01404753