On Flexible Prismatic Polyhedra
Metric Geometry
2014-07-09 v1
Abstract
We demonstrate the existence of four types of flexible prismatic polyhedra that can be derived or inferred from a consideration of Bricard octahedra and generalizations of Bricard octahedra. These flexible polyhedra are of genus 0 and 1, have dihedral angles all of which are non-constant under flexion, have faces that exhibit self-intersections, have an indefinite number of faces and have vertex motion that can treated as a function of a single variable.
Keywords
Cite
@article{arxiv.1407.2095,
title = {On Flexible Prismatic Polyhedra},
author = {Gerald D. Nelson},
journal= {arXiv preprint arXiv:1407.2095},
year = {2014}
}
Comments
Five figures, fourteen pages