The brachistochrone problem is simple to explain. Imagine a bead which is free to slide on a wire. What shape of wire will get the bead from point A to point B in the shortest time? If you're wondering about the name, "brachistochrone" apparently means "shortest time" in Ancient Greek. Makes sense. The image below shows the optimal path in red, along with some slower paths in blue. This was inspired by Declan, who was using this problem to learn about genetic algorithms. The