ELI5: Explain Like I'm 5

Brunn–Minkowski theorem

The brunn-minkowski theorem is a rule that helps us understand how objects change in size when we combine them together. Imagine you have a bunch of blocks of different sizes and you want to put them together to make a bigger block. The brunn-minkowski theorem helps you figure out how big that new block will be.

Let's say you have two blocks, one is big and one is small. You stack them on top of each other and make a bigger block. The brunn-minkowski theorem tells you that the new block will be bigger than just the sum of the two blocks. This is because when you put blocks together, they take up more space than they did when they were separate.

The theorem also works for more complicated shapes like spheres, cones, and pyramids. So if you have two spheres of different sizes and you combine them, you can use the brunn-minkowski theorem to figure out how big the new sphere will be.

In simple terms, the brunn-minkowski theorem helps us understand how combining objects changes their size. So if you ever want to make something bigger by putting things together, you can use the brunn-minkowski theorem to figure out how big it will be.