The theory of bonds II: Closed 6R linkages with maximal genus. (May 2015)

• Record Type: Journal Article
• Authors: Hegedüs, Gábor; Li, Zijia; Schicho, Josef; Schröcker, Hans-Peter
• Is Part Of: Journal of symbolic computation. Volume 68:Part 2(2015)
• Page Start: 167
• Page End: 180
• Publication Date: 2015-05
• Subjects: Overconstrained 6R linkage -- Dual quaternion -- Genus -- Quad polynomials; 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.2014.09.035
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: In this paper, we study closed linkages with six rotational joints that allow a one-dimensional set of motions. We prove that the genus of the configuration curve of such a linkage is at most five, and give a complete classification of the linkages with a configuration curve of genus four or five. The classification contains new families.