In a dream, I saw some balls, which were either blue, red, yellow or black. There were less than 5 balls with the same color and there were more than 15 balls. For some reason, some balls moved toward each other at a close distance, while others went on the opposite direction when got close enough. Suddenly the balls with the same color started to unite and they became boxes, and in each box there were a few balls gravitating around each other. There were 2 fixed points in each box where the balls were gravitating around, and less than 3 balls gravitating around each point. So I realized that in one of the balls there was written "A. A.".

So I ask: are all the balls labeled with "A. A."?