ELI5: Explain Like I'm 5

Periodic point

Hey champ! So, have you ever played a game where you have to keep coming back to the same spot after doing some moves over and over again? That's a bit like a periodic point. Let me explain it for you.

Imagine you have a toy car, and you keep making it move in a certain way on a track. You keep pushing it, and the car moves along the same path every time, coming back to the starting point after going around the track a few times. That starting point where the car returns is called a periodic point.

Periodic points can be found in different things, not only in toy cars, but also in maths equations. Just like making the toy car move in the same way over and over again, mathematicians can keep using the same equation over and over again, and they might find that it always gives them the same answer after a certain amount of times. That's also a periodic point.

So, a periodic point is just a point that you keep coming back to after doing something specific over and over again. It's like a special spot that you always end up at no matter what. Cool, huh?