Flexible arrangement of two Bennett tubes
Computational Geometry
2025-07-14 v1 Algebraic Geometry
Abstract
In analogy to flexible bipyramids, also known as Bricard octahedra, we study flexible couplings of two Bennett mechanisms. The resulting flexible bi-Bennett structures can be used as building blocks of flexible tubes with quadrilateral cross-section that possess skew faces. We present three 4-dimensional families of flexible arranged Bennett tubes and discuss some of their properties as well as their relation to flexible bipyramids and biprisms, respectively.
Cite
@article{arxiv.2507.08356,
title = {Flexible arrangement of two Bennett tubes},
author = {Georg Nawratil},
journal= {arXiv preprint arXiv:2507.08356},
year = {2025}
}
Comments
23 pages, 9 figures