Macbeath surface

The Macbeath surface is like a special shape that mathematicians use to study geometry. It's a surface that looks kind of like a saddle, which means it's curved in some directions and flat in others.

Imagine you have a piece of paper, and you bend it in one direction to make a curve. Then, you bend it in another direction to make another curve. If you did this just right, you could create a Macbeath surface!

One special thing about the Macbeath surface is that it has a unique property called constant mean curvature. This means that no matter where you measure on the surface, the curvature will always be the same.

Mathematicians like to study the Macbeath surface because it helps them understand how shapes can be curved in different ways. It's also interesting because it's one of the few surfaces that has this constant mean curvature property.