Kinematic differential geometry of a rigid body in spatial motion using dual vector calculus: Part-II

In the present paper, partially based on Part I of this paper, the special points; inflection points, acceleration centers and the points with the zero tangential components, which we call Bresse complexes, of the dual spherical motion X^=A^xˆ are discussed and computer aided graphs of some of them shown in line space withA^=cosθˆcosϕˆ-sinθˆ-cosθˆsinϕˆsinθˆcosϕˆcosθˆ-sinθˆsinϕˆsinϕˆ0cosϕˆ,where ϕˆ(t)=ϕ(t)+εϕ∗(t),θˆ(t)=θ(t)+εθ∗(t) are the function of real parameter t   (time). Meanwhile the graph of the unit dual sphere ∑i=13xˆi2=1 in line space is given.