Karpenkov, Oleg ORCID: 0000-0002-3358-6998 and Müller, Christian
Geometric criteria for realizability of tensegrities in higher dimensions.
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Abstract
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.
Item Type: | Article |
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Uncontrolled Keywords: | math.CO, math.CO, math.MG, 05C10, 52C25 |
Depositing User: | Symplectic Admin |
Date Deposited: | 15 Jul 2019 13:09 |
Last Modified: | 19 Jan 2023 00:37 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3050024 |
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