Tverberg's theorem

Tverberg's theorem is like a magic trick with colored blocks, even if we don't know how they do it, we can still appreciate it.

Imagine we have a big pile of different colored blocks, and we want to make a pretty design with them. Tverberg's theorem tells us that if we have enough blocks of different colors, we can always make a pretty design with them by dividing them into little groups and making a special pattern. But there's a catch - the pattern has to be really special.

Think of it like we have to make a picture, but we can only draw with a few crayons at a time. We have to make sure that each group of crayons we use makes a different part of the picture. For example, one group might be used to color in the sky and another group used to color in the grass.

But here's the cool part - Tverberg's theorem tells us that no matter how many blocks we have or how many colors, we can always figure out this special pattern to make the pretty design. It's like magic!