I've come across this toy called a "Switch Pitch" designed by Chuck Hoberman. It's a ball that when tossed into the air (with some amount of rotation), inverts and changes colour. Made of plastic, it's connected with numerous sockets. It's quite hard to describe, so I'll include some links.
Here's a picture of the ball in first position, then midair, then in its second position.
A video of the ball being thrown. https://www.youtube.com/watch?v=zwevlig6CxI
I've done some research, and things like conservation of angular momentum, centripetal forces, translational energy, and rotational energy have come up (Also something about activation energy, though I believe that is chemistry). If these apply, could anyone explain how they do? I'm very curious about this.