English

Equilibrium stressability of multidimensional frameworks

Metric Geometry 2024-07-22 v1

Abstract

We prove an equilibrium stressability criterium for trivalent multidimensional tensegrities. The criterium appears in different languages: (1) in terms of stress monodromies, (2) in terms of surgeries, (3) in terms of exact discrete 1-forms, and (4) in Cayley algebra terms.

Cite

@article{arxiv.2009.05469,
  title  = {Equilibrium stressability of multidimensional frameworks},
  author = {Oleg Karpenkov and Christian Müller and Gaiane Panina and Brigitte Servatius and Herman Servatius and Dirk Siersma},
  journal= {arXiv preprint arXiv:2009.05469},
  year   = {2024}
}

Comments

30 pages, 13 figures

R2 v1 2026-06-23T18:28:34.295Z