Geometric criteria for realizability of tensegrities in higher\n dimensions

2019/07/05 by Oleg Karpenkov, Karpenkov, Oleg, Müller, Christian · 1 citation
Engineering · #05C10 #52C25 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG) #Structural Analysis and Optimization

paper · pdf · doi:10.48550/arxiv.1907.02830

openalex publication_date 2019/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study a classical Maxwell question on the existence of\nself-stresses for frameworks, which are called tensegrities. We give a complete\nanswer on geometric conditions of at most (d+1)-valent tensegrities in\n\ℝ^d both in terms of discrete multiplicative 1-forms and in terms of\n"meet" and "join" operations in the Grassmann-Cayley algebra.\n

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• Stressability of Semi-Discrete Frameworks

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