Extending Bricard Octahedra
Metric Geometry
2010-11-24 v1
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.
Keywords
Cite
@article{arxiv.1011.5193,
title = {Extending Bricard Octahedra},
author = {Gerald D. Nelson},
journal= {arXiv preprint arXiv:1011.5193},
year = {2010}
}
Comments
22 pages, 14 figures, 3 theorems