We discuss existence of factorizations with linear factors for (left) polynomials over certain
associative real involutive algebras, most notably over Clifford algebras. Because of their …

The Handbook of Geometric Constraint Systems Principles is an entry point to the currently
used principal mathematical and computational tools and techniques of the geometric …

This paper deals with the structure synthesis and reconfiguration analysis of variable-DOF
(variable-degree-of-freedom) single-loop mechanisms with prismatic joints based on a …

This paper deals with the algebraic synthesis and input-output analysis of one degree-of-
freedom (1-DOF) multi-loop planar, spherical, and spatial linkages for increasing or …

We present a closed-loop 8R mechanism with two degrees of freedom whose motion
exhibits curious properties. In any point of a two-dimensional component of its configuration …

This paper systematically deals with the synthesis of multi-mode single-loop 6R, 7R and 8R
Bennett-based mechanisms from an algebraic viewpoint. Based on the factorization of …

We illustrate an on-going work on the crossroad of mechanical linkages, dynamic geometry
and automated reasoning. In particular, we exemplify how some automated reasoning tools …

In this paper, we consider the factorizations of monic, bounded motion polynomials. We
prove existence of factorizations, possibly after multiplication with a real polynomial Q, and …

This paper addresses the algebraic synthesis of novel single-loop 6R spatial mechanisms,
enabling constant-1: 1 or 1: 1 velocity ratio transmission between two adjacent axes …

We prove that every bounded rational space curve of degree d and circularity c can be
drawn by a linkage with 9 2 d-6c+ 1 9 2 d-6 c+ 1 revolute joints. Our proof is based on two …