Filling area conjecture

The Filling Area Conjecture is an unsolved mathematical problem. It's a type of problem called a "conjecture," which means that mathematicians have ideas about how it might work, but they don't have a definite answer yet.

Basically, the Filling Area Conjecture says that if you draw any shape with a bunch of lines and curves (like a squiggly star) on a flat surface, you can fill the inside of that shape with smaller shapes (like squares, triangles and circles) without any of them overlapping.

This sounds simple but proving that it's actually true is really hard! Mathematicians have been trying to answer this question for a long time, but so far nobody has been able to do it.