Finally a simple, easy to understand 4 color proof!

The four color theorem states that any given map can be colored with just four colors in such a way that no two adjacent regions have the same color. This might seem like a simple problem to solve, but it has actually been a difficult puzzle for mathematicians for over a century.

In this video, however, I present a new and very easy-to-follow visual proof of just why four colors ar ethe most you'll ever need for any map.

One of the reasons the four color theorem has been so difficult to prove is because it involves a concept called reducibility. This means that to prove the theorem, it is not enough to just show that it works for a few specific examples of maps. Instead, you have to show that it works for all possible maps, no matter how complex they might be.

Another reason the theorem has been so challenging is because it involves a large number of cases and subcases that must be considered. In order to prove the theorem, mathematicians have had to consider all possible configurations of regions on a map and show that they can be colored using just four colors. This requires a significant amount of computational power, as well as clever mathematical arguments and techniques.

Despite the challenges, the four color theorem has been a fascinating puzzle for mathematicians and has led to many important discoveries. In 1976, it was finally proved using a computer program, which checked all possible configurations of regions on a map and showed that they could be colored with just four colors.

Today, the four color theorem is considered one of the most famous and important theorems in mathematics, and it has many practical applications in fields such as cartography and computer graphics. It is a testament to the power of human curiosity and the importance of tackling difficult problems, even if it takes a long time to solve them.