Hopf algebra is like a game. Instead of playing with colors and shapes like you would with a regular board game, hopf algebra lets you play with numbers. In this game, you make equations which help you to solve math problems. For example, you might move six points on a graph by adding the same number to each of them. This is a hopf algebra equation. By playing this game, you can solve math problems that are too difficult to do with traditional math rules.