The Rigidity of Spherical Frameworks: Swapping Blocks and Holes

@article{FinbowSingh2012TheRO,
  title={The Rigidity of Spherical Frameworks: Swapping Blocks and Holes},
  author={Wendy Finbow-Singh and Elissa Ross and Walter Whiteley},
  journal={SIAM J. Discret. Math.},
  year={2012},
  volume={26},
  pages={280-304}
}
  • Wendy Finbow-Singh, Elissa Ross, Walter Whiteley
  • Published 2012
  • Mathematics, Computer Science
  • SIAM J. Discret. Math.
  • A significant range of geometric structures whose rigidity has been explored, for both practical and theoretical purposes, are formed by modifying generically isostatic triangulated spheres. In block and hole structures $(\mathcal{P},\boldsymbol{p})$, some edges are removed (to make holes) and others are added (to create rigid subparts called blocks). Previous work noted a combinatorial analogy, in which blocks and holes played equivalent roles—so that they might be interchanged. In this paper… CONTINUE READING

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