Particle settling in quiescent fluids is important in many industrial processes. Single particle settling in Newtonian fluids has been studied extensively. Less work has been done in non-Newtonian fluids using both single and multiple particles. Two or more particles settling in non-Newtonian fluids exhibit unusual behavior that includes simple interactions to form a coupled pair and periodic motion in which the particles preform a complex “dance” as they move through the fluid. This paper describes some preliminary work on the periodic motion observed in three and four particle systems.