One day, I came across a major battle being waged by the red and black ant kingdoms in the backyard. Being partial to black ants, I quickly stomped out all the red ones, only to realize that it would have been much more interesting to have watched the battle unfold.
Below is a video that may help get a sense of the multilayered dimension.
(Note: As noted in the video and the comment, these are pavement ants, introduced from Europe. The similarly small ants that show up in people's houses during the summer tend to be odorous house ants, which according to Wikipedia are native.)