
Journal for Geometry and Graphics 14 (2010), No. 2, 147169 Copyright Heldermann Verlag 2010 Flexible Octahedra in the Projective Extension of the Euclidean 3Space Georg Nawratil Inst. of Discrete Mathematics and Geometry, University of Technology, Wiedner Hauptstr. 810/104, 1230 Vienna, Austria nawratil@geometrie.tuwien.ac.at We complete the classification of flexible octahedra in the projective extension of the Euclidean 3space. If all vertices are Euclidean points then we get the well known Bricard octahedra. All flexible octahedra with one vertex on the plane at infinity were already determined by the author in the context of selfmotions of TSSM manipulators with two parallel rotary axes. Therefore we are only interested in those cases where at least two vertices are ideal points. Our approach is based on Kokotsakis meshes and reducible compositions of two fourbar linkages. Keywords: Flexible octahedra, Kokotsakis meshes, Bricard octahedra. MSC: 53A17; 52B10 [ Fulltextpdf (324 KB)] for subscribers only. 