The combinatorial geometry of stresses in frameworks

@article{Karpenkov2015TheCG,
  title={The combinatorial geometry of stresses in frameworks},
  author={O. Karpenkov},
  journal={arXiv: Metric Geometry},
  year={2015}
}
  • O. Karpenkov
  • Published 2015
  • Mathematics
  • arXiv: Metric Geometry
  • In this paper we formulate and prove necessary and sufficient geometric conditions for existence of generic tensegrities in the plane for arbitrary graphs. The conditions are written in terms of "meet-join" relations for the configuration spaces of fixed points and non-fixed lines through fixed points. 
    3 Citations
    Geometric Conditions of Rigidity in Nongeneric settings
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    Geometric criteria for realizability of tensegrities in higher dimensions
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    Geometry of Point-Hyperplane and Spherical Frameworks
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