GEOMETRIC CRITERIA FOR REALIZABILITY OF TENSEGRITIES IN HIGHER DIMENSIONS

Karpenkov, Oleg ORCID: 0000-0002-3358-6998 and Mueller, Christian (2021) GEOMETRIC CRITERIA FOR REALIZABILITY OF TENSEGRITIES IN HIGHER DIMENSIONS. SIAM JOURNAL ON DISCRETE MATHEMATICS, 35 (2). pp. 637-660.

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Official URL: http://dx.doi.org/10.1137/19m1281903

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
Uncontrolled Keywords:	tensegrity, self-stressed equilibrium framework, join/intersection operations, projective geometry, multiplicative 1-forms
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	22 Apr 2021 12:35
Last Modified:	18 Jan 2023 22:51
DOI:	10.1137/19M1281903
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3120194