2010/11/23 by Gerald D. Nelson, Nelson, Gerald D. · 2 citations
Engineering · Mathematics · #Advanced Materials and Mechanics #Dynamics and Control of Mechanical Systems #FOS: Mathematics #Metric Geometry (math.MG) #Structural Analysis and Optimization #math.MG
paper · pdf · doi:10.48550/arxiv.1011.5193
22 pages, 14 figures, 3 theorems
arxiv created 2010/11/23 · openalex publication_date 2010/11/23 · arxiv updated 2010/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We demonstrate the construction of several families of flexible polyhedra by extending Bricard octahedra to form larger composite flexible polyhedra. These flexible polyhedra are of genus 0 and 1, have dihedral angles that are non-constant under flexion, exhibit self-intersections and are of indefinite size, the smallest of which is a decahedron with seven vertexes.