The interesting simplicity inherent in a sheepdog's movements:
The research group outfitted a herd of 46 three-year-old female merino sheep with small backpacks containing GPS transmitters. The sheepdog was also given a GPS tracker. For each trial, the dog was simply verbally instructed to move the sheep to the gate of a 12 acre field. Then, using data from the GPS trackers, the researchers derived a mathematical model describing the rules governing the movement of both the computerized sheep and a computerized shepherd. What they found was that sheepdogs use just two simple rules: when the sheep are dispersed, she moves them together. They called that collecting. When the sheep are already aggregated, she moves them forward. That's called driving. If one sheep strays too far away from the group's center, then the dog shifts from driving to collecting. Once that sheep is close enough to the rest of the herd, the dog shifts from collecting to driving.
via Scientists Found An Algorithm To Turn All Of Us Into Sheeple.