ELI5: Explain Like I'm 5

Chessboard complex

Hey there! So, you know how we play this game called chess and it's played on a square board with 8 rows and 8 columns, right? Well, sometimes, people use this chessboard as a way to study math and science!

Now, let me explain what a "complex" is. You know how you have different things like toys, clothes, and books in your room? Well, you can put them together and they become a group, right? That group is like a "complex". And just like you can count how many toys, clothes, and books you have, you can count how many things are in a complex.

So, a chessboard complex is when we take the chessboard and start to put things together in a new way. We can divide the board into smaller squares, lines, and points. Then, we start to count how many squares, how many lines or how many points are in the complex.

This helps mathematicians and scientists study things like "discrete geometry" which is all about shapes and patterns that are made up of small pieces. They use the chessboard complex to help them understand these shapes and patterns better!

I hope that makes sense to you, little one!