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arXiv · 1907.02830

Geometric criteria for realizability of tensegrities in higher dimensions

Oleg Karpenkov·Christian Müller
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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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Oleg Karpenkov, Christian Müller. 2021-01-29. Geometric criteria for realizability of tensegrities in higher dimensions. https://arxiv.org/abs/1907.02830

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