Visualize the following entirely in your head. Do not draw or write anything, just use your mind. Picture a pair of cubes. The two cubes are connected by a bar through their middle, like a dumbbell. Imagine that the dumbbell object is floating in front of you, one cube close to you, the other directly away from you. Now, imagine that the cube nearest you is red, and the cube furthest from you is blue. Picture the dumbbell built of two cube and a rod begins to rotate, the near, red cube, dropping down and away, and the blue, far cube, rotating up and nearer. The dumbbell continues so that it now stands vertical, in front of you, the red cube on the bottom, the blue cube on the top. Continue this direction of rotation, end over end, three times exactly, starting with that state where the red cube was on the bottom, and the blue cube was on the top. What is the position of either cube, red or blue?