Extending Bricard Octahedra
arXiv:1011.5193
Abstract
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.
22 pages, 14 figures, 3 theorems