Inversive geometry is like playing with mirrors. You know how when you look in a mirror, your right hand looks like your left and your left looks like your right? Well, inversive geometry does the same thing with shapes, like circles.
Imagine you have a big circle and a little circle inside it. If you turn the big circle upside down and put it right on top of the little circle, something cool happens. The big circle seems to go straight through the little circle in the middle, but when it comes out the other side, it turns into a new circle that goes all the way around the outside. The little circle in the middle disappears.
That's what inversive geometry is all about: taking a shape and flipping it inside out by putting a mirror over it. It helps us understand how different shapes are related to each other.
So imagine a world where everything we see is made up of circles. In this world, the little circle in the middle of our example might be a planet, and the big circle that turns into a ring might be a star. By studying inversive geometry, we can figure out how planets and stars are related to each other and how they move around in space.
It's kind of like playing with funhouse mirrors, except in inversive geometry, we're using math to understand how shapes and figures look different when we put them in front of a mirror.