Generalizations of Bricard octahedra

Abstract

We construct five types of polyhedra by generalizing the description of Bricard octahedra and applying the generalizations to polyhedral suspensions. The resulting polyhedra are flexible, are of genus 0, exhibit self-intersections, have zero oriented volume, have dihedral angles all of which are non-constant during flexion and are of indefinite size, the smallest of which are dodecahedra with eight vertexes.