''...isn't it just counting colored balls in some boxes and stuff like this?''
That's the standard comment when I say I do Combinatorics...
...but guess what? It is so much more!
There are some aspects of mathematics that are never taught in school, but they are at the heart of why people choose to become mathematicians: we will talk about creativity, we will follow stories with great plot twists and much more...
What are you waiting for? Let's dive in!
What do we mean by map? Are we describing streets?
We will discover some very interesting object that bridges many fascinating topics: Topology, Geometry and even contemporary Physics!
A great classic of Combinatorics, their presence is the subdle hint that says: "Hey, you should have a look right here, there's something interesting for sure!"