If you set the predefined lower limit of the cubelet to an integral factor of the smallest distance an object can travel in the world, keeping track of which cubelet contains the object becomes a simple matter of applying the 3DDDA.
(you; set; the predefined lower limit of the cubelet; to an integral factor of the smallest distance) (an object; can travel; in the world) Context(an object can travel,List([100, 120))):(an object; can travel in the world keeping; track of which cubelet contains the object) (cubelet; contains; the object)
an object can travel,List([100, 120))
you an object an object cubelet
set can travel can travel in the world keeping contains
the predefined lower limit of the cubelet to an integral factor of the smallest distance
in the world
track of which cubelet contains the object
the object