Equilibrium stressability of multidimensional frameworks

Oleg Karpenkov, Christian Müller*, Gaiane Panina, Brigitte Servatius, Herman Servatius, Dirk Siersma

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


We prove an equilibrium stressability criterion for trivalent multidimensional frameworks. The criterion 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.

Original languageEnglish
Pages (from-to)33-61
Number of pages29
JournalEuropean Journal of Mathematics
Issue number1
Publication statusPublished - Mar 2022


  • Cayley algebra
  • Discrete multiplicative 1-form
  • Equilibrium stress
  • Framework
  • Lifting
  • Maxwell–Cremona correspondence
  • Self-stress
  • Tensegrity


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