Ball Clock Simulator

Ball Clock Simulato‪r‬ is an app that simulates the operation of a Ball Clock and calculates how many days it takes for the ball bearings to return to their original ordering.

It's called the "Ball Clock" problem and it's been a topic of computer science since at least 1995. The help file in the program provides historical background and links to the git repository for this program so you can study the code and learn some of the basics of programming in Xcode.