The theory of bonds II: Closed 6R linkages with maximal genus

摘要

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. (C) 2014 Elsevier Ltd. All rights reserved.