https://hal.inria.fr/hal-01350773Gallet, MatteoMatteoGalletRICAM - Johann Radon Institute for Computational and Applied Mathematics - OeAW - Austrian Academy of SciencesNawratil, GeorgGeorgNawratilTU Wien - Institute of Discrete Mathematics and Geometry [Vienne] - TU Wien - Vienna University of TechnologySchicho, JosefJosefSchichoRISC - Research Institute for Symbolic Computation - JKU - Johannes Kepler Universität LinzLiaison LinkagesHAL CCSD2015[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]Monteil, Alain2016-08-01 16:39:522021-10-13 20:00:012016-08-01 16:39:52enConference papers1The complete classification of hexapods - also known as Stewart Gough platforms - of mobility one is still open. To tackle this problem, we can associate to each hexapod of mobility one an algebraic curve, called the configuration curve. In this paper we establish an upper bound for the degree of this curve, assuming the hexapod is general enough. Moreover, we provide a construction of hexapods with curves of maximal degree, which is based on liaison, a technique used in the theory of algebraic curves.