Liaison linkages. (March 2017)

• Record Type: Journal Article
• Authors: Gallet, Matteo; Nawratil, Georg; Schicho, Josef
• Is Part Of: Journal of symbolic computation. Volume 79(2017)Part 1
• Page Start: 65
• Page End: 98
• Publication Date: 2017-03
• Subjects: Hexapod -- Stewart Gough platform -- Self motion -- Liaison theory -- Bond theory -- Segre cubic primal; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2016.08.006
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: The 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.