Seven circles theorem

Imagine you have a bunch of circles, like a bunch of bubbles or balls. Now imagine putting them all next to each other, so they touch at one point. This point where they touch is called a tangent point.

Now, what if you drew lines to connect these tangent points in a specific way? It turns out that if you draw these lines correctly, you will create seven more circles that all touch each other and the first set of bubbles.

This is called the seven circles theorem, because it shows that you can always create seven more circles from just one set of tangent circles. It's like magic! But it's actually just really clever math and geometry.

This theorem is important in geometry because it helps us understand how different shapes and objects relate to each other in space. It's also just really cool to see all these circles nestling together like a family of bubbles.