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Rationality Of the Locus Of Singularities Of the General Gough-Stewart Platform

2019/04/03 by Coste, Michel, Moussa, Seydou
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.01837

Abstract

We prove that the set of singular configurations of a general Gough Stewart platform has a rational parametrization. We introduce a reciprocal twist mapping which, for a general orientation of the platform, realizes the cubic surface of singularities as the blowing up of a quadric surface in five points.

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