The combinatorial geometry of stresses in frameworks

Karpenkov, O ORCID: 0000-0002-3358-6998 (2021) The combinatorial geometry of stresses in frameworks. Discrete and Computational Geometry: an international journal of mathematics and computer science, 65 (1). pp. 43-89.

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Official URL: https://link.springer.com/article/10.1007/s00454-0...

Abstract

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.

Item Type:	Article
Additional Information:	44 pages, 30 pictures
Uncontrolled Keywords:	math.MG, math.MG, math.CO, 52C30, 05C10, Tensegrity, Self-tensional equilibrium frameworks
Depositing User:	Symplectic Admin
Date Deposited:	26 Aug 2020 08:54
Last Modified:	18 Jan 2023 23:39
DOI:	10.1007/s00454-020-00234-8
Open Access URL:	https://doi.org/10.1007/s00454-020-00234-8
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3095566