Affiliation:
1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
Abstract
A new description of flexible Bricard octahedra is obtained using conditions in terms of edge lengths. It is suitable for the study of a number of problems in the metric geometry of octahedra and, in particular, for searching for a proof of the conjecture of Sabitov on the vanishing of all but the leading coefficients of the polynomial for the volume of a type $3$ octahedron.
Bibliography: 17 titles.
Publisher
Steklov Mathematical Institute
Subject
Algebra and Number Theory
Reference17 articles.
1. Mémoire sur la théorie de l'octaèdre articulé;R. Bricard;J. Math. Pures Appl. (5),1897
2. Deformabl Octahedra
3. Octaèdres articulés de Bricard;H. Lebesgue;Enseign. Math. (2),1967
4. Combinatorics of Bricard's octahedra;H. Stachel,2002
5. Combinatorics of Bricard’s octahedra