Spherical Cyclic Motions in Euclidean Space E3
  By considering a spatial curve in a Euclidean space, we use its components, together with attaining a cyclic matrix, to show that this matrix is homothetic too and is in correspondence with a homothetic motion. Furthermore, if the curve lies on a unit sphere, then the motion is a spherical cyclic motion. 
Mehdi Jafari and Yusuf Yayli
math-ph math.MP