ELI5: Explain Like I'm 5

Geometric set cover problem

Okay kiddo, imagine you have a bunch of shapes like squares, triangles, and circles. Now, think of a bigger shape like a rectangle that can fit all the smaller shapes inside it.

The geometric set cover problem is like a game where we want to know how many of the smaller shapes we need to put inside the big rectangle so that it is completely covered.

But there's a catch - we want to use the least amount of small shapes possible. It's like trying to pack your toys neatly in a box, but you don't want to waste any space so you try to fit in as many toys as you can without leaving any empty spaces.

This problem can be really tricky, especially when there are many shapes of different sizes and shapes, like an odd-shaped puzzle. Mathematicians study this problem to find the best way of solving it quickly and efficiently.