The volume of an infinitesimally flexible polyhedron is a multiple root\n of its volume polynomial

2017/07/02 by I. Kh. Sabitov, Sabitov, I. Kh.
Engineering · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Differential Geometry (math.DG) #Elasticity and Wave Propagation #FOS: Mathematics #Metric Geometry (math.MG) #Structural Analysis and Optimization

paper · pdf · doi:10.48550/arxiv.1707.00286

openalex publication_date 2017/07/02 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

It is proven that the volume of an infinitesimally flexible polyhedron in\nR³ is a multiple root of its volume polynomial.\n

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