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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Tensegrity frameworks
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by B. Roth and W. Whiteley
Trans. Amer. Math. Soc. 265 (1981), 419-446
DOI: https://doi.org/10.1090/S0002-9947-1981-0610958-6
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Abstract:

A tensegrity framework consists of bars which preserve the distance between certain pairs of vertices, cables which provide an upper bound for the distance between some other pairs of vertices and struts which give a lower bound for the distance between still other pairs of vertices. The present paper establishes some basic results concerning the rigidity, flexibility, infinitesimal rigidity and infinitesimal flexibility of tensegrity frameworks. These results are then applied to a number of questions, problems and conjectures regarding tensegrity frameworks in the plane and in space.
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Bibliographic Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 265 (1981), 419-446
  • MSC: Primary 51F99; Secondary 52A37, 53A17, 73K20
  • DOI: https://doi.org/10.1090/S0002-9947-1981-0610958-6
  • MathSciNet review: 610958