Corpus ID: 195820362

Geometric criteria for realizability of tensegrities in higher dimensions

@article{Karpenkov2019GeometricCF,
  title={Geometric criteria for realizability of tensegrities in higher dimensions},
  author={O. Karpenkov and Christian Muller},
  journal={arXiv: Combinatorics},
  year={2019}
}
In this paper we study a classical Maxwell question on the existence of self-stresses for frameworks, which are called tensegrities. We give a complete answer on geometric conditions of at most $(d+1)$-valent tensegrities in $\mathbb{R}^d$ both in terms of discrete multiplicative 1-forms and in terms of "meet" and "join" operations in the Grassmann-Cayley algebra. 
2 Citations

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