
Journal for Geometry and Graphics 08 (2004), No. 1, 033039 Copyright Heldermann Verlag 2004 An Investigation of an Octahedral Platform Using Equiform Motions N. H. AbdelAll Dept. of Mathematics, Faculty of Science, Assiut University, 71516 Assiut, Egypt Fathi M. Hamdoon Dept. of Mathematics, Faculty of Science, AlAzhar Univ. Assiut Branch, 71524 Assiut, Egypt f_hamdoon@yahoo.com We investigate motions of the 7parameter group of equiform transformations with the property that three points move on three circles with axes in one plane. We give an algorithm to find the corresponding oneparametric motion. It can be displayed as a curve in the space of motion parameters. As in general there seems to be no global parametrization of this curve, we give a local one up to the second order. An example demonstrates the effciency of the presented method. Keywords: Parallel manipulator, equiform motion, flexible octahedra. MSC: 53A17 [ Fulltextpdf (135 KB)] for subscribers only. 