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      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.

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          Physical Principles in the Construction of Regular Viruses

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            On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory

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              Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks

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                Author and article information

                Journal
                05 July 2019
                Article
                1907.02830
                8c09ac0a-4994-44d2-ab43-1969208a9f38

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                05C10, 52C25
                math.CO math.MG

                Combinatorics,Geometry & Topology
                Combinatorics, Geometry & Topology

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