Equilibrium stressability of multidimensional frameworks

Fuente: arXiv
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Hauptverfasser: Karpenkov, Oleg, Müller, Christian, Panina, Gaiane, Servatius, Brigitte, Servatius, Herman, Siersma, Dirk
Format: Preprint
Veröffentlicht: 2020
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author Karpenkov, Oleg
Müller, Christian
Panina, Gaiane
Servatius, Brigitte
Servatius, Herman
Siersma, Dirk
author_facet Karpenkov, Oleg
Müller, Christian
Panina, Gaiane
Servatius, Brigitte
Servatius, Herman
Siersma, Dirk
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2009_05469
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Equilibrium stressability of multidimensional frameworks
Karpenkov, Oleg
Müller, Christian
Panina, Gaiane
Servatius, Brigitte
Servatius, Herman
Siersma, Dirk
Metric Geometry
52C25, 57Q99
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.
title Equilibrium stressability of multidimensional frameworks
topic Metric Geometry
52C25, 57Q99
url https://arxiv.org/abs/2009.05469