Borsuk's conjecture

So imagine you have a balloon and you want to cover it with three pieces of paper. You can't just wrap the papers around the balloon because they won't fit perfectly and there will be gaps. So what mathematicians are trying to figure out is: is it possible to cover the balloon with just two pieces of paper that overlap in some way and still cover the whole balloon without any gaps?

This is what Borsuk's Conjecture is all about. Mathematicians are trying to prove if it's possible to always cover any shape in a higher dimension with one less number of overlapping shapes. For example, can you always cover a 3D sphere with two overlapping 2D circles or a 4D sphere with three overlapping 3D spheres?

It's a really tricky problem and no one has been able to prove it yet, but if they do, it'll be a big deal in mathematics!