Flexible Polyhedra and Their Volumes

2016/05/30 by Alexander A. Gaifullin, Gaifullin, Alexander A. · 1 citation
Engineering · Mathematics · #13P15 #Algebraic Geometry (math.AG) #Dynamics and Control of Mechanical Systems #Elasticity and Material Modeling #FOS: Mathematics #Metric Geometry (math.MG) #Primary: 52C25 #Secondary: 51M25 #Structural Analysis and Optimization #math.AG #math.MG #msc:13P15 #msc:51M25 #msc:52C25

paper · pdf · doi:10.48550/arxiv.1605.09316

20 pages, a paper for Proceedings of the 7ecm, Berlin, 2016

arxiv created 2016/05/30 · openalex publication_date 2016/05/30 · arxiv updated 2016/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We discuss some recent results on flexible polyhedra and the bellows conjecture, which claims that the volume of any flexible polyhedron is constant during the flexion. Also, we survey main methods and several open problems in this area.

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